• Re: D correctly simulated by H proved for THREE YEARS --- finitestring transformation rules

    From olcott@NoOne@NoWhere.com to comp.theory,sci.logic,sci.math,comp.ai.philosophy on Sun Dec 21 17:19:50 2025
    From Newsgroup: comp.theory

    On 6/12/2024 11:50 AM, olcott wrote:

    When we compute the mapping from the input to H(D,D) this
    must apply a set of finite string transformation rules
    (specified by the semantics of the x86 language) to this input.


    The above is my first use applying this term to a halt decider.

    My first documented use of the term
    "finite string transformation rules" https://groups.google.com/g/comp.theory/c/TFXhleKnHmY/m/lqhDVnvUBgAJ

    *This is the basis for my unique definition of a generic decider*

    Deciders: Transform finite string inputs by finite
    string transformation rules into {Accept, Reject} values.
    --
    Copyright 2025 Olcott

    My 28 year goal has been to make
    "true on the basis of meaning expressed in language"
    reliably computable.

    This required establishing a new foundation
    for correct reasoning.
    --- Synchronet 3.21a-Linux NewsLink 1.2
  • From Python@python@cccp.invalid to comp.theory,sci.logic,sci.math,comp.ai.philosophy on Sun Dec 21 23:35:24 2025
    From Newsgroup: comp.theory

    Le 22/12/2025 à 00:19, olcott a écrit :
    On 6/12/2024 11:50 AM, olcott wrote:

    When we compute the mapping from the input to H(D,D) this
    must apply a set of finite string transformation rules
    (specified by the semantics of the x86 language) to this input.


    The above is my first use applying this term to a halt decider.

    My first documented use of the term
    "finite string transformation rules" https://groups.google.com/g/comp.theory/c/TFXhleKnHmY/m/lqhDVnvUBgAJ

    *This is the basis for my unique definition of a generic decider*

    Deciders: Transform finite string inputs by finite
    string transformation rules into {Accept, Reject} values.

    So you stated a triviality that does not change a iota to the fact that
    the rest of you claims are wrong.

    So what?


    --- Synchronet 3.21a-Linux NewsLink 1.2
  • From Richard Damon@Richard@Damon-Family.org to comp.theory,sci.logic,sci.math,comp.ai.philosophy on Sun Dec 21 18:40:31 2025
    From Newsgroup: comp.theory

    On 12/21/25 6:19 PM, olcott wrote:
    On 6/12/2024 11:50 AM, olcott wrote:

    When we compute the mapping from the input to H(D,D) this
    must apply a set of finite string transformation rules
    (specified by the semantics of the x86 language) to this input.


    The above is my first use applying this term to a halt decider.

    My first documented use of the term
    "finite string transformation rules" https://groups.google.com/g/comp.theory/c/TFXhleKnHmY/m/lqhDVnvUBgAJ

    *This is the basis for my unique definition of a generic decider*

    Deciders: Transform finite string inputs by finite
    string transformation rules into {Accept, Reject} values.



    And is just wrong.

    For instance, a RASP based decider uses no strings, but might use a
    numeric representatio of a string.

    And in the more generic version of the theory, are not restricted to
    just Accepting or Rejecting the input.

    Sorry, you are asking people to confirm things that are not actually
    true in the way you think.

    It seems you stumbled upon a partially true statement (true in some
    versions of the system) but are focused on a part that is not an actual
    basis.
    --- Synchronet 3.21a-Linux NewsLink 1.2
  • From olcott@polcott333@gmail.com to sci.math,sci.logic,comp.theory,comp.ai.philosophy on Sun Dec 21 18:00:39 2025
    From Newsgroup: comp.theory

    On 12/21/2025 5:35 PM, Python wrote:
    Le 22/12/2025 à 00:19, olcott a écrit :
    On 6/12/2024 11:50 AM, olcott wrote:

    When we compute the mapping from the input to H(D,D) this
    must apply a set of finite string transformation rules
    (specified by the semantics of the x86 language) to this input.


    The above is my first use applying this term to a halt decider.

    My first documented use of the term
    "finite string transformation rules"
    https://groups.google.com/g/comp.theory/c/TFXhleKnHmY/m/lqhDVnvUBgAJ

    *This is the basis for my unique definition of a generic decider*

    Deciders: Transform finite string inputs by finite
    string transformation rules into {Accept, Reject} values.

    So you stated a triviality that does not change a iota to the fact that
    the rest of you claims are wrong.

    So what?


    Deciders: Transform finite string inputs by finite
    string transformation rules into {Accept, Reject} values.

    The rest of my claims can be deduced from the above
    first principle and any standard definition of the
    halting problem.

    It took me 21.5 years to translate my intuitions into
    this definitional basis. They weren't worth much as
    mere intuitions.
    --
    Copyright 2025 Olcott<br><br>

    My 28 year goal has been to make <br>
    "true on the basis of meaning expressed in language"<br>
    reliably computable.<br><br>

    This required establishing a new foundation<br>
    --- Synchronet 3.21a-Linux NewsLink 1.2
  • From Richard Damon@Richard@Damon-Family.org to sci.math,sci.logic,comp.theory,comp.ai.philosophy on Sun Dec 21 19:06:37 2025
    From Newsgroup: comp.theory

    On 12/21/25 7:00 PM, olcott wrote:
    On 12/21/2025 5:35 PM, Python wrote:
    Le 22/12/2025 à 00:19, olcott a écrit :
    On 6/12/2024 11:50 AM, olcott wrote:

    When we compute the mapping from the input to H(D,D) this
    must apply a set of finite string transformation rules
    (specified by the semantics of the x86 language) to this input.


    The above is my first use applying this term to a halt decider.

    My first documented use of the term
    "finite string transformation rules"
    https://groups.google.com/g/comp.theory/c/TFXhleKnHmY/m/lqhDVnvUBgAJ

    *This is the basis for my unique definition of a generic decider*

    Deciders: Transform finite string inputs by finite
    string transformation rules into {Accept, Reject} values.

    So you stated a triviality that does not change a iota to the fact
    that the rest of you claims are wrong.

    So what?


    Deciders: Transform finite string inputs by finite
    string transformation rules into {Accept, Reject} values.

    The rest of my claims can be deduced from the above
    first principle and any standard definition of the
    halting problem.

    It took me 21.5 years to translate my intuitions into
    this definitional basis. They weren't worth much as
    mere intuitions.




    But Deciders don't need to be based on Strings at all.

    For instance, a Program Decider could be based on representing the
    algorithm as a number, just like Godel did with his G statement.

    So your "First Principle" is just a lie.

    So, you just admitted you wasted 21.5 years.


    --- Synchronet 3.21a-Linux NewsLink 1.2
  • From olcott@polcott333@gmail.com to comp.theory,sci.logic,sci.math,comp.ai.philosophy on Sun Dec 21 18:15:07 2025
    From Newsgroup: comp.theory

    On 12/21/2025 5:40 PM, Richard Damon wrote:
    On 12/21/25 6:19 PM, olcott wrote:
    On 6/12/2024 11:50 AM, olcott wrote:

    When we compute the mapping from the input to H(D,D) this
    must apply a set of finite string transformation rules
    (specified by the semantics of the x86 language) to this input.


    The above is my first use applying this term to a halt decider.

    My first documented use of the term
    "finite string transformation rules"
    https://groups.google.com/g/comp.theory/c/TFXhleKnHmY/m/lqhDVnvUBgAJ

    *This is the basis for my unique definition of a generic decider*

    Deciders: Transform finite string inputs by finite
    string transformation rules into {Accept, Reject} values.



    And is just wrong.

    For instance, a RASP based decider uses no strings, but might use a
    numeric representatio of a string.


    That may be an actual exception yet over-complicates
    the essence that I need to convey.

    And in the more generic version of the theory, are not restricted to
    just Accepting or Rejecting the input.


    Decider seems to be limited to deciding.

    Sorry, you are asking people to confirm things that are not actually
    true in the way you think.

    It seems you stumbled upon a partially true statement (true in some
    versions of the system) but are focused on a part that is not an actual basis.
    --
    Copyright 2025 Olcott<br><br>

    My 28 year goal has been to make <br>
    "true on the basis of meaning expressed in language"<br>
    reliably computable.<br><br>

    This required establishing a new foundation<br>
    --- Synchronet 3.21a-Linux NewsLink 1.2
  • From Python@python@cccp.invalid to sci.math,sci.logic,comp.theory,comp.ai.philosophy on Mon Dec 22 00:28:54 2025
    From Newsgroup: comp.theory

    Le 22/12/2025 à 01:00, olcott a écrit :
    On 12/21/2025 5:35 PM, Python wrote:
    Le 22/12/2025 à 00:19, olcott a écrit :
    On 6/12/2024 11:50 AM, olcott wrote:

    When we compute the mapping from the input to H(D,D) this
    must apply a set of finite string transformation rules
    (specified by the semantics of the x86 language) to this input.


    The above is my first use applying this term to a halt decider.

    My first documented use of the term
    "finite string transformation rules"
    https://groups.google.com/g/comp.theory/c/TFXhleKnHmY/m/lqhDVnvUBgAJ

    *This is the basis for my unique definition of a generic decider*

    Deciders: Transform finite string inputs by finite
    string transformation rules into {Accept, Reject} values.

    So you stated a triviality that does not change a iota to the fact that
    the rest of you claims are wrong.

    So what?


    Deciders: Transform finite string inputs by finite
    string transformation rules into {Accept, Reject} values.

    The rest of my claims can be deduced from the above
    first principle and any standard definition of the
    halting problem.

    It took me 21.5 years to translate my intuitions into
    this definitional basis. They weren't worth much as
    mere intuitions.

    It took you 21.5 years to state a pointless definition that in no way
    support your other silly claims?

    Congrats !


    --- Synchronet 3.21a-Linux NewsLink 1.2
  • From olcott@polcott333@gmail.com to sci.math,sci.logic,comp.theory,comp.ai.philosophy on Sun Dec 21 18:33:39 2025
    From Newsgroup: comp.theory

    On 12/21/2025 6:06 PM, Richard Damon wrote:
    On 12/21/25 7:00 PM, olcott wrote:
    On 12/21/2025 5:35 PM, Python wrote:
    Le 22/12/2025 à 00:19, olcott a écrit :
    On 6/12/2024 11:50 AM, olcott wrote:

    When we compute the mapping from the input to H(D,D) this
    must apply a set of finite string transformation rules
    (specified by the semantics of the x86 language) to this input.


    The above is my first use applying this term to a halt decider.

    My first documented use of the term
    "finite string transformation rules"
    https://groups.google.com/g/comp.theory/c/TFXhleKnHmY/m/lqhDVnvUBgAJ

    *This is the basis for my unique definition of a generic decider*

    Deciders: Transform finite string inputs by finite
    string transformation rules into {Accept, Reject} values.

    So you stated a triviality that does not change a iota to the fact
    that the rest of you claims are wrong.

    So what?


    Deciders: Transform finite string inputs by finite
    string transformation rules into {Accept, Reject} values.

    The rest of my claims can be deduced from the above
    first principle and any standard definition of the
    halting problem.

    It took me 21.5 years to translate my intuitions into
    this definitional basis. They weren't worth much as
    mere intuitions.




    But Deciders don't need to be based on Strings at all.


    A sequence of (can't possibly exist because they
    are infinitely large) registers is essentially
    a string. Computations involving infinite strings
    cannot halt.

    For instance, a Program Decider could be based on representing the
    algorithm as a number, just like Godel did with his G statement.

    So your "First Principle" is just a lie.

    So, you just admitted you wasted 21.5 years.


    --
    Copyright 2025 Olcott<br><br>

    My 28 year goal has been to make <br>
    "true on the basis of meaning expressed in language"<br>
    reliably computable.<br><br>

    This required establishing a new foundation<br>
    --- Synchronet 3.21a-Linux NewsLink 1.2
  • From Python@python@cccp.invalid to sci.math,sci.logic,comp.theory,comp.ai.philosophy on Mon Dec 22 00:35:32 2025
    From Newsgroup: comp.theory

    Le 22/12/2025 à 01:33, olcott a écrit :
    On 12/21/2025 6:06 PM, Richard Damon wrote:
    On 12/21/25 7:00 PM, olcott wrote:
    On 12/21/2025 5:35 PM, Python wrote:
    Le 22/12/2025 à 00:19, olcott a écrit :
    On 6/12/2024 11:50 AM, olcott wrote:

    When we compute the mapping from the input to H(D,D) this
    must apply a set of finite string transformation rules
    (specified by the semantics of the x86 language) to this input.


    The above is my first use applying this term to a halt decider.

    My first documented use of the term
    "finite string transformation rules"
    https://groups.google.com/g/comp.theory/c/TFXhleKnHmY/m/lqhDVnvUBgAJ >>>>>
    *This is the basis for my unique definition of a generic decider*

    Deciders: Transform finite string inputs by finite
    string transformation rules into {Accept, Reject} values.

    So you stated a triviality that does not change a iota to the fact
    that the rest of you claims are wrong.

    So what?


    Deciders: Transform finite string inputs by finite
    string transformation rules into {Accept, Reject} values.

    The rest of my claims can be deduced from the above
    first principle and any standard definition of the
    halting problem.

    It took me 21.5 years to translate my intuitions into
    this definitional basis. They weren't worth much as
    mere intuitions.




    But Deciders don't need to be based on Strings at all.


    A sequence of (can't possibly exist because they
    are infinitely large) registers is essentially
    a string. Computations involving infinite strings
    cannot halt.

    Good as there are no infinite strings mentioned in any work about Halt Deciders.

    Your straw man argument failed.




    --- Synchronet 3.21a-Linux NewsLink 1.2
  • From olcott@polcott333@gmail.com to sci.math,comp.theory,sci.logic,comp.ai.philosophy on Sun Dec 21 18:38:36 2025
    From Newsgroup: comp.theory

    On 12/21/2025 6:28 PM, Python wrote:
    Le 22/12/2025 à 01:00, olcott a écrit :
    On 12/21/2025 5:35 PM, Python wrote:
    Le 22/12/2025 à 00:19, olcott a écrit :
    On 6/12/2024 11:50 AM, olcott wrote:

    When we compute the mapping from the input to H(D,D) this
    must apply a set of finite string transformation rules
    (specified by the semantics of the x86 language) to this input.


    The above is my first use applying this term to a halt decider.

    My first documented use of the term
    "finite string transformation rules"
    https://groups.google.com/g/comp.theory/c/TFXhleKnHmY/m/lqhDVnvUBgAJ

    *This is the basis for my unique definition of a generic decider*

    Deciders: Transform finite string inputs by finite
    string transformation rules into {Accept, Reject} values.

    So you stated a triviality that does not change a iota to the fact
    that the rest of you claims are wrong.

    So what?


    Deciders: Transform finite string inputs by finite
    string transformation rules into {Accept, Reject} values.

    The rest of my claims can be deduced from the above
    first principle and any standard definition of the
    halting problem.

    It took me 21.5 years to translate my intuitions into
    this definitional basis. They weren't worth much as
    mere intuitions.

    It took you 21.5 years to state a pointless definition that in no way support your other silly claims?
    Congrats !

    Do you understand that whatever conclusion
    is derived through correct semantic entailment
    from definitions is a necessary consequence of
    these definitions?
    --
    Copyright 2025 Olcott<br><br>

    My 28 year goal has been to make <br>
    "true on the basis of meaning expressed in language"<br>
    reliably computable.<br><br>

    This required establishing a new foundation<br>
    --- Synchronet 3.21a-Linux NewsLink 1.2
  • From Python@python@cccp.invalid to sci.math,comp.theory,sci.logic,comp.ai.philosophy on Mon Dec 22 00:40:52 2025
    From Newsgroup: comp.theory

    Le 22/12/2025 à 01:38, olcott a écrit :
    On 12/21/2025 6:28 PM, Python wrote:
    Le 22/12/2025 à 01:00, olcott a écrit :
    On 12/21/2025 5:35 PM, Python wrote:
    Le 22/12/2025 à 00:19, olcott a écrit :
    On 6/12/2024 11:50 AM, olcott wrote:

    When we compute the mapping from the input to H(D,D) this
    must apply a set of finite string transformation rules
    (specified by the semantics of the x86 language) to this input.


    The above is my first use applying this term to a halt decider.

    My first documented use of the term
    "finite string transformation rules"
    https://groups.google.com/g/comp.theory/c/TFXhleKnHmY/m/lqhDVnvUBgAJ >>>>>
    *This is the basis for my unique definition of a generic decider*

    Deciders: Transform finite string inputs by finite
    string transformation rules into {Accept, Reject} values.

    So you stated a triviality that does not change a iota to the fact
    that the rest of you claims are wrong.

    So what?


    Deciders: Transform finite string inputs by finite
    string transformation rules into {Accept, Reject} values.

    The rest of my claims can be deduced from the above
    first principle and any standard definition of the
    halting problem.

    It took me 21.5 years to translate my intuitions into
    this definitional basis. They weren't worth much as
    mere intuitions.

    It took you 21.5 years to state a pointless definition that in no way
    support your other silly claims?
    Congrats !

    Do you understand that whatever conclusion
    is derived through correct semantic entailment
    from definitions is a necessary consequence of
    these definitions?

    I'm not playing shell games crank Olcott :-) ?


    --- Synchronet 3.21a-Linux NewsLink 1.2
  • From Richard Damon@Richard@Damon-Family.org to comp.theory,sci.logic,sci.math,comp.ai.philosophy on Sun Dec 21 19:41:12 2025
    From Newsgroup: comp.theory

    On 12/21/25 7:15 PM, olcott wrote:
    On 12/21/2025 5:40 PM, Richard Damon wrote:
    On 12/21/25 6:19 PM, olcott wrote:
    On 6/12/2024 11:50 AM, olcott wrote:

    When we compute the mapping from the input to H(D,D) this
    must apply a set of finite string transformation rules
    (specified by the semantics of the x86 language) to this input.


    The above is my first use applying this term to a halt decider.

    My first documented use of the term
    "finite string transformation rules"
    https://groups.google.com/g/comp.theory/c/TFXhleKnHmY/m/lqhDVnvUBgAJ

    *This is the basis for my unique definition of a generic decider*

    Deciders: Transform finite string inputs by finite
    string transformation rules into {Accept, Reject} values.



    And is just wrong.

    For instance, a RASP based decider uses no strings, but might use a
    numeric representatio of a string.


    That may be an actual exception yet over-complicates
    the essence that I need to convey.

    It is a GENERAL exception, so it can't be the rule.


    And in the more generic version of the theory, are not restricted to
    just Accepting or Rejecting the input.


    Decider seems to be limited to deciding.

    Nope, they started out that way, but there use expanded. That is the
    problem of working blind, you can't know what you are doing.

    "Seems" is an admittion that you don't actually know.

    Remember the definition on wikipedia, "A Decider is a Turing Machine
    that halts on every input"

    That doesn't limit it to machines with two output states.

    Yes, it means the term has outgrown its roots, but that happens with languages.


    Sorry, you are asking people to confirm things that are not actually
    true in the way you think.

    It seems you stumbled upon a partially true statement (true in some
    versions of the system) but are focused on a part that is not an
    actual basis.



    --- Synchronet 3.21a-Linux NewsLink 1.2
  • From Richard Damon@Richard@Damon-Family.org to sci.math,sci.logic,comp.theory,comp.ai.philosophy on Sun Dec 21 19:47:26 2025
    From Newsgroup: comp.theory

    On 12/21/25 7:33 PM, olcott wrote:
    On 12/21/2025 6:06 PM, Richard Damon wrote:
    On 12/21/25 7:00 PM, olcott wrote:
    On 12/21/2025 5:35 PM, Python wrote:
    Le 22/12/2025 à 00:19, olcott a écrit :
    On 6/12/2024 11:50 AM, olcott wrote:

    When we compute the mapping from the input to H(D,D) this
    must apply a set of finite string transformation rules
    (specified by the semantics of the x86 language) to this input.


    The above is my first use applying this term to a halt decider.

    My first documented use of the term
    "finite string transformation rules"
    https://groups.google.com/g/comp.theory/c/TFXhleKnHmY/m/lqhDVnvUBgAJ >>>>>
    *This is the basis for my unique definition of a generic decider*

    Deciders: Transform finite string inputs by finite
    string transformation rules into {Accept, Reject} values.

    So you stated a triviality that does not change a iota to the fact
    that the rest of you claims are wrong.

    So what?


    Deciders: Transform finite string inputs by finite
    string transformation rules into {Accept, Reject} values.

    The rest of my claims can be deduced from the above
    first principle and any standard definition of the
    halting problem.

    It took me 21.5 years to translate my intuitions into
    this definitional basis. They weren't worth much as
    mere intuitions.




    But Deciders don't need to be based on Strings at all.


    A sequence of (can't possibly exist because they
    are infinitely large) registers is essentially
    a string. Computations involving infinite strings
    cannot halt.

    No they are not. A string is built from a finite length of symbols from
    a finite alphabet.

    A RASP machine has cells with values from a countably infinite set of
    values.

    Note, any given RASP machine, like the tape of a Turing Machine is
    infinite in capacity, but only has a finite number of "non-empty" cells.
    FOr the Turing machine they are generally assumed to be spaces, for a
    RASP machine they are zeros.

    It seems you talk faster than you think (which isn't too hard for you)

    And even when you allow the machine to be given an infinite tape/memory
    (and it is, just most of it is blank/zero), that doesn't mean it can not
    halt. It can't look at all the tape, but nothing in its definition says
    it needs to.

    You just can't expect to get answers that need to look at the full tape.


    For instance, a Program Decider could be based on representing the
    algorithm as a number, just like Godel did with his G statement.

    So your "First Principle" is just a lie.

    So, you just admitted you wasted 21.5 years.





    --- Synchronet 3.21a-Linux NewsLink 1.2
  • From Richard Damon@Richard@Damon-Family.org to sci.math,comp.theory,sci.logic,comp.ai.philosophy on Sun Dec 21 19:51:37 2025
    From Newsgroup: comp.theory

    On 12/21/25 7:38 PM, olcott wrote:
    On 12/21/2025 6:28 PM, Python wrote:
    Le 22/12/2025 à 01:00, olcott a écrit :
    On 12/21/2025 5:35 PM, Python wrote:
    Le 22/12/2025 à 00:19, olcott a écrit :
    On 6/12/2024 11:50 AM, olcott wrote:

    When we compute the mapping from the input to H(D,D) this
    must apply a set of finite string transformation rules
    (specified by the semantics of the x86 language) to this input.


    The above is my first use applying this term to a halt decider.

    My first documented use of the term
    "finite string transformation rules"
    https://groups.google.com/g/comp.theory/c/TFXhleKnHmY/m/lqhDVnvUBgAJ >>>>>
    *This is the basis for my unique definition of a generic decider*

    Deciders: Transform finite string inputs by finite
    string transformation rules into {Accept, Reject} values.

    So you stated a triviality that does not change a iota to the fact
    that the rest of you claims are wrong.

    So what?


    Deciders: Transform finite string inputs by finite
    string transformation rules into {Accept, Reject} values.

    The rest of my claims can be deduced from the above
    first principle and any standard definition of the
    halting problem.

    It took me 21.5 years to translate my intuitions into
    this definitional basis. They weren't worth much as
    mere intuitions.

    It took you 21.5 years to state a pointless definition that in no way
    support your other silly claims?
    Congrats !

    Do you understand that whatever conclusion
    is derived through correct semantic entailment
    from definitions is a necessary consequence of
    these definitions?



    And when you start with wrong definitions, you can't say anything about
    the results.

    To have right definitions, you need to have studied the basics, and if
    you have, you could refer to them.

    Since you admitted your "logic" is based on not having looked at the
    basics, but trying to "deduce" the first-principle from ZERO-Principles,
    all you have done is admitted you don't actually know what you are
    talking about.
    --- Synchronet 3.21a-Linux NewsLink 1.2
  • From olcott@polcott333@gmail.com to comp.theory,sci.logic,sci.math,comp.ai.philosophy on Sun Dec 21 18:53:31 2025
    From Newsgroup: comp.theory

    On 12/21/2025 6:41 PM, Richard Damon wrote:
    On 12/21/25 7:15 PM, olcott wrote:
    On 12/21/2025 5:40 PM, Richard Damon wrote:
    On 12/21/25 6:19 PM, olcott wrote:
    On 6/12/2024 11:50 AM, olcott wrote:

    When we compute the mapping from the input to H(D,D) this
    must apply a set of finite string transformation rules
    (specified by the semantics of the x86 language) to this input.


    The above is my first use applying this term to a halt decider.

    My first documented use of the term
    "finite string transformation rules"
    https://groups.google.com/g/comp.theory/c/TFXhleKnHmY/m/lqhDVnvUBgAJ

    *This is the basis for my unique definition of a generic decider*

    Deciders: Transform finite string inputs by finite
    string transformation rules into {Accept, Reject} values.



    And is just wrong.

    For instance, a RASP based decider uses no strings, but might use a
    numeric representatio of a string.


    That may be an actual exception yet over-complicates
    the essence that I need to convey.

    It is a GENERAL exception, so it can't be the rule.


    And in the more generic version of the theory, are not restricted to
    just Accepting or Rejecting the input.


    Decider seems to be limited to deciding.

    Nope, they started out that way, but there use expanded. That is the
    problem of working blind, you can't know what you are doing.

    "Seems" is an admittion that you don't actually know.

    Remember the definition on wikipedia, "A Decider is a Turing Machine
    that halts on every input"

    That doesn't limit it to machines with two output states.

    Yes, it means the term has outgrown its roots, but that happens with languages.


    Turing machine deciders: Transform finite string
    inputs by finite string transformation rules into
    {Accept, Reject} values.

    *Here is how I first said that On 6/10/2017 1:32 PM*
    Basically I formalize the entire set of all
    knowledge (mathematical and otherwise) simply
    as finite string transformation rules.
    https://groups.google.com/g/comp.theory/c/TFXhleKnHmY/m/lqhDVnvUBgAJ

    *I said this in a much more precise way now*
    For the entire body of knowledge it is only
    "finite string transformation rules" that validate
    "true on the basis of meaning expressed in language"
    --
    Copyright 2025 Olcott<br><br>

    My 28 year goal has been to make <br>
    "true on the basis of meaning expressed in language"<br>
    reliably computable.<br><br>

    This required establishing a new foundation<br>
    --- Synchronet 3.21a-Linux NewsLink 1.2
  • From olcott@polcott333@gmail.com to sci.math,comp.theory,sci.logic,comp.ai.philosophy on Sun Dec 21 18:57:30 2025
    From Newsgroup: comp.theory

    On 12/21/2025 6:51 PM, Richard Damon wrote:
    On 12/21/25 7:38 PM, olcott wrote:
    On 12/21/2025 6:28 PM, Python wrote:
    Le 22/12/2025 à 01:00, olcott a écrit :
    On 12/21/2025 5:35 PM, Python wrote:
    Le 22/12/2025 à 00:19, olcott a écrit :
    On 6/12/2024 11:50 AM, olcott wrote:

    When we compute the mapping from the input to H(D,D) this
    must apply a set of finite string transformation rules
    (specified by the semantics of the x86 language) to this input.


    The above is my first use applying this term to a halt decider.

    My first documented use of the term
    "finite string transformation rules"
    https://groups.google.com/g/comp.theory/c/TFXhleKnHmY/m/lqhDVnvUBgAJ >>>>>>
    *This is the basis for my unique definition of a generic decider*

    Deciders: Transform finite string inputs by finite
    string transformation rules into {Accept, Reject} values.

    So you stated a triviality that does not change a iota to the fact
    that the rest of you claims are wrong.

    So what?


    Deciders: Transform finite string inputs by finite
    string transformation rules into {Accept, Reject} values.

    The rest of my claims can be deduced from the above
    first principle and any standard definition of the
    halting problem.

    It took me 21.5 years to translate my intuitions into
    this definitional basis. They weren't worth much as
    mere intuitions.

    It took you 21.5 years to state a pointless definition that in no way
    support your other silly claims?
    Congrats !

    Do you understand that whatever conclusion
    is derived through correct semantic entailment
    from definitions is a necessary consequence of
    these definitions?



    And when you start with wrong definitions, you can't say anything about
    the results.


    Still
    a necessary consequence of these definitions.

    To have right definitions, you need to have studied the basics, and if
    you have, you could refer to them.

    Since you admitted your "logic" is based on not having looked at the
    basics, but trying to "deduce" the first-principle from ZERO-Principles,
    all you have done is admitted you don't actually know what you are
    talking about.

    Turing machine deciders: Transform finite string
    inputs by finite string transformation rules into
    {Accept, Reject} values.

    and the standard definition of the halting problem
    are the only definitional basis that I need.
    --
    Copyright 2025 Olcott<br><br>

    My 28 year goal has been to make <br>
    "true on the basis of meaning expressed in language"<br>
    reliably computable.<br><br>

    This required establishing a new foundation<br>
    --- Synchronet 3.21a-Linux NewsLink 1.2
  • From Richard Damon@Richard@Damon-Family.org to comp.theory,sci.logic,sci.math,comp.ai.philosophy on Sun Dec 21 20:05:53 2025
    From Newsgroup: comp.theory

    On 12/21/25 7:53 PM, olcott wrote:
    On 12/21/2025 6:41 PM, Richard Damon wrote:
    On 12/21/25 7:15 PM, olcott wrote:
    On 12/21/2025 5:40 PM, Richard Damon wrote:
    On 12/21/25 6:19 PM, olcott wrote:
    On 6/12/2024 11:50 AM, olcott wrote:

    When we compute the mapping from the input to H(D,D) this
    must apply a set of finite string transformation rules
    (specified by the semantics of the x86 language) to this input.


    The above is my first use applying this term to a halt decider.

    My first documented use of the term
    "finite string transformation rules"
    https://groups.google.com/g/comp.theory/c/TFXhleKnHmY/m/lqhDVnvUBgAJ >>>>>
    *This is the basis for my unique definition of a generic decider*

    Deciders: Transform finite string inputs by finite
    string transformation rules into {Accept, Reject} values.



    And is just wrong.

    For instance, a RASP based decider uses no strings, but might use a
    numeric representatio of a string.


    That may be an actual exception yet over-complicates
    the essence that I need to convey.

    It is a GENERAL exception, so it can't be the rule.


    And in the more generic version of the theory, are not restricted to
    just Accepting or Rejecting the input.


    Decider seems to be limited to deciding.

    Nope, they started out that way, but there use expanded. That is the
    problem of working blind, you can't know what you are doing.

    "Seems" is an admittion that you don't actually know.

    Remember the definition on wikipedia, "A Decider is a Turing Machine
    that halts on every input"

    That doesn't limit it to machines with two output states.

    Yes, it means the term has outgrown its roots, but that happens with
    languages.


    Turing machine deciders: Transform finite string
    inputs by finite string transformation rules into
    {Accept, Reject} values.

    But "Finite String Transformation" is too general, Turing Machine do
    very precise and limited transformation.

    And, in the generalized theory, they answer more than accept or reject.
    You seem to be stuck on early forms of the work in the more limited domain.

    If you want to work in the more limited domain, you can, you just need
    to use the right wording.

    If you want to describe what a Turing Machine does, why don't you use
    the actual definition of a Turing Machine?

    You know, how it goes through a finite set of states based on looking at
    one cell on the tape at a time, and being able to change that cell by
    its fixed set of rules and move to an adjacent cell.

    Of course, that would mean you needing to learn how they actually work
    and how to build up more complicated actions from simpler ones.


    *Here is how I first said that On 6/10/2017 1:32 PM*
    Basically I formalize the entire set of all
    knowledge (mathematical and otherwise) simply
    as finite string transformation rules.
    https://groups.google.com/g/comp.theory/c/TFXhleKnHmY/m/lqhDVnvUBgAJ

    And where you are first wrong doesn't matter.


    *I said this in a much more precise way now*
    For the entire body of knowledge it is only
    "finite string transformation rules" that validate
    "true on the basis of meaning expressed in language"



    But the "entire body of knowledge" is not a suitable basis.

    Your problem is you just don't have justification for you faulty ideas.


    --- Synchronet 3.21a-Linux NewsLink 1.2
  • From Richard Damon@Richard@Damon-Family.org to sci.math,comp.theory,sci.logic,comp.ai.philosophy on Sun Dec 21 20:09:09 2025
    From Newsgroup: comp.theory

    On 12/21/25 7:57 PM, olcott wrote:
    On 12/21/2025 6:51 PM, Richard Damon wrote:
    On 12/21/25 7:38 PM, olcott wrote:
    On 12/21/2025 6:28 PM, Python wrote:
    Le 22/12/2025 à 01:00, olcott a écrit :
    On 12/21/2025 5:35 PM, Python wrote:
    Le 22/12/2025 à 00:19, olcott a écrit :
    On 6/12/2024 11:50 AM, olcott wrote:

    When we compute the mapping from the input to H(D,D) this
    must apply a set of finite string transformation rules
    (specified by the semantics of the x86 language) to this input. >>>>>>>>

    The above is my first use applying this term to a halt decider.

    My first documented use of the term
    "finite string transformation rules"
    https://groups.google.com/g/comp.theory/c/TFXhleKnHmY/m/lqhDVnvUBgAJ >>>>>>>
    *This is the basis for my unique definition of a generic decider* >>>>>>>
    Deciders: Transform finite string inputs by finite
    string transformation rules into {Accept, Reject} values.

    So you stated a triviality that does not change a iota to the fact >>>>>> that the rest of you claims are wrong.

    So what?


    Deciders: Transform finite string inputs by finite
    string transformation rules into {Accept, Reject} values.

    The rest of my claims can be deduced from the above
    first principle and any standard definition of the
    halting problem.

    It took me 21.5 years to translate my intuitions into
    this definitional basis. They weren't worth much as
    mere intuitions.

    It took you 21.5 years to state a pointless definition that in no
    way support your other silly claims?
    Congrats !

    Do you understand that whatever conclusion
    is derived through correct semantic entailment
    from definitions is a necessary consequence of
    these definitions?



    And when you start with wrong definitions, you can't say anything
    about the results.


    Still
    a necessary consequence of these definitions.

    But a necessary consequence of an error doesn't prove anything,

    Sorry, you aren't allowed to change the definitions and stay in the field.


    To have right definitions, you need to have studied the basics, and if
    you have, you could refer to them.

    Since you admitted your "logic" is based on not having looked at the
    basics, but trying to "deduce" the first-principle from ZERO-
    Principles, all you have done is admitted you don't actually know what
    you are talking about.

    Turing machine deciders: Transform finite string
    inputs by finite string transformation rules into
    {Accept, Reject} values.

    and the standard definition of the halting problem
    are the only definitional basis that I need.


    Nope, as error doesn't prove anything.

    You have to learn that you need to start from the actual right
    definitions, or nothing you say means anything.

    --- Synchronet 3.21a-Linux NewsLink 1.2
  • From Richard Damon@Richard@Damon-Family.org to sci.math,comp.theory,sci.logic,comp.ai.philosophy on Sun Dec 21 20:09:55 2025
    From Newsgroup: comp.theory

    On 12/21/25 7:57 PM, olcott wrote:
    On 12/21/2025 6:51 PM, Richard Damon wrote:
    On 12/21/25 7:38 PM, olcott wrote:
    On 12/21/2025 6:28 PM, Python wrote:
    Le 22/12/2025 à 01:00, olcott a écrit :
    On 12/21/2025 5:35 PM, Python wrote:
    Le 22/12/2025 à 00:19, olcott a écrit :
    On 6/12/2024 11:50 AM, olcott wrote:

    When we compute the mapping from the input to H(D,D) this
    must apply a set of finite string transformation rules
    (specified by the semantics of the x86 language) to this input. >>>>>>>>

    The above is my first use applying this term to a halt decider.

    My first documented use of the term
    "finite string transformation rules"
    https://groups.google.com/g/comp.theory/c/TFXhleKnHmY/m/lqhDVnvUBgAJ >>>>>>>
    *This is the basis for my unique definition of a generic decider* >>>>>>>
    Deciders: Transform finite string inputs by finite
    string transformation rules into {Accept, Reject} values.

    So you stated a triviality that does not change a iota to the fact >>>>>> that the rest of you claims are wrong.

    So what?


    Deciders: Transform finite string inputs by finite
    string transformation rules into {Accept, Reject} values.

    The rest of my claims can be deduced from the above
    first principle and any standard definition of the
    halting problem.

    It took me 21.5 years to translate my intuitions into
    this definitional basis. They weren't worth much as
    mere intuitions.

    It took you 21.5 years to state a pointless definition that in no
    way support your other silly claims?
    Congrats !

    Do you understand that whatever conclusion
    is derived through correct semantic entailment
    from definitions is a necessary consequence of
    these definitions?



    And when you start with wrong definitions, you can't say anything
    about the results.


    Still
    a necessary consequence of these definitions.

    To have right definitions, you need to have studied the basics, and if
    you have, you could refer to them.

    Since you admitted your "logic" is based on not having looked at the
    basics, but trying to "deduce" the first-principle from ZERO-
    Principles, all you have done is admitted you don't actually know what
    you are talking about.

    Turing machine deciders: Transform finite string
    inputs by finite string transformation rules into
    {Accept, Reject} values.

    and the standard definition of the halting problem
    are the only definitional basis that I need.


    And, since you then equivocate on the meaning of even your own
    definitions, you just prove you lie.
    --- Synchronet 3.21a-Linux NewsLink 1.2
  • From Mr Flibble@flibble@red-dwarf.jmc.corp to comp.theory,sci.logic,sci.math,comp.ai.philosophy on Mon Dec 22 01:35:56 2025
    From Newsgroup: comp.theory

    On Sun, 21 Dec 2025 17:19:50 -0600, olcott wrote:

    On 6/12/2024 11:50 AM, olcott wrote:

    When we compute the mapping from the input to H(D,D) this must apply a
    set of finite string transformation rules (specified by the semantics
    of the x86 language) to this input.


    The above is my first use applying this term to a halt decider.

    My first documented use of the term "finite string transformation rules" https://groups.google.com/g/comp.theory/c/TFXhleKnHmY/m/lqhDVnvUBgAJ

    *This is the basis for my unique definition of a generic decider*

    Deciders: Transform finite string inputs by finite string transformation rules into {Accept, Reject} values.

    D halts, H is not a halt decider.

    /Flibble
    --
    meet ever shorter deadlines, known as "beat the clock"
    --- Synchronet 3.21a-Linux NewsLink 1.2
  • From olcott@polcott333@gmail.com to comp.theory,sci.logic,sci.math,comp.ai.philosophy on Sun Dec 21 20:08:07 2025
    From Newsgroup: comp.theory

    On 12/21/2025 7:35 PM, Mr Flibble wrote:
    On Sun, 21 Dec 2025 17:19:50 -0600, olcott wrote:

    On 6/12/2024 11:50 AM, olcott wrote:

    When we compute the mapping from the input to H(D,D) this must apply a
    set of finite string transformation rules (specified by the semantics
    of the x86 language) to this input.


    The above is my first use applying this term to a halt decider.

    My first documented use of the term "finite string transformation rules"
    https://groups.google.com/g/comp.theory/c/TFXhleKnHmY/m/lqhDVnvUBgAJ

    *This is the basis for my unique definition of a generic decider*

    Deciders: Transform finite string inputs by finite string transformation
    rules into {Accept, Reject} values.

    D halts, H is not a halt decider.

    /Flibble


    Turing machine deciders: Transform finite string
    inputs by finite string transformation rules into

    It turns out that on the basis of the above definition
    and other standard definitions that I have proved
    that the halting problem has always been fundamentally
    incorrect.

    So far only ChatGPT, Claude AI and Grok totally agree
    that I have completely proved my point on that basis.

    Whatever conclusion is derived through correct semantic
    entailment from definitions is a necessary consequence
    of these definitions.
    --
    Copyright 2025 Olcott<br><br>

    My 28 year goal has been to make <br>
    "true on the basis of meaning expressed in language"<br>
    reliably computable.<br><br>

    This required establishing a new foundation<br>
    --- Synchronet 3.21a-Linux NewsLink 1.2
  • From Richard Damon@Richard@Damon-Family.org to comp.theory,sci.logic,sci.math,comp.ai.philosophy on Sun Dec 21 21:24:35 2025
    From Newsgroup: comp.theory

    On 12/21/25 9:08 PM, olcott wrote:
    On 12/21/2025 7:35 PM, Mr Flibble wrote:
    On Sun, 21 Dec 2025 17:19:50 -0600, olcott wrote:

    On 6/12/2024 11:50 AM, olcott wrote:

    When we compute the mapping from the input to H(D,D) this must apply a >>>> set of finite string transformation rules (specified by the semantics
    of the x86 language) to this input.


    The above is my first use applying this term to a halt decider.

    My first documented use of the term "finite string transformation rules" >>> https://groups.google.com/g/comp.theory/c/TFXhleKnHmY/m/lqhDVnvUBgAJ

    *This is the basis for my unique definition of a generic decider*

    Deciders: Transform finite string inputs by finite string transformation >>> rules into {Accept, Reject} values.

    D halts, H is not a halt decider.

    /Flibble


    Turing machine deciders: Transform finite string
    inputs by finite string transformation rules into

    Which isn't correct


    It turns out that on the basis of the above definition
    and other standard definitions that I have proved
    that the halting problem has always been fundamentally
    incorrect.


    No, your logic is equivative, because you change meaning in the middle,
    in other words, you LIE.

    So far only ChatGPT, Claude AI and Grok totally agree
    that I have completely proved my point on that basis.

    Because they are just yes men,


    Whatever conclusion is derived through correct semantic
    entailment from definitions is a necessary consequence
    of these definitions.


    Nope, only form CORRECT definitions.

    of course, your problem is that "correct" is a meaningless word to you
    as you don't understand the concept of rules or requirement, because you
    are just a pathological liar.
    --- Synchronet 3.21a-Linux NewsLink 1.2
  • From Python@python@cccp.invalid to comp.theory,sci.logic,sci.math,comp.ai.philosophy on Mon Dec 22 02:25:49 2025
    From Newsgroup: comp.theory

    Le 22/12/2025 à 03:08, olcott a écrit :
    On 12/21/2025 7:35 PM, Mr Flibble wrote:
    On Sun, 21 Dec 2025 17:19:50 -0600, olcott wrote:

    On 6/12/2024 11:50 AM, olcott wrote:

    When we compute the mapping from the input to H(D,D) this must apply a >>>> set of finite string transformation rules (specified by the semantics
    of the x86 language) to this input.


    The above is my first use applying this term to a halt decider.

    My first documented use of the term "finite string transformation rules" >>> https://groups.google.com/g/comp.theory/c/TFXhleKnHmY/m/lqhDVnvUBgAJ

    *This is the basis for my unique definition of a generic decider*

    Deciders: Transform finite string inputs by finite string transformation >>> rules into {Accept, Reject} values.

    D halts, H is not a halt decider.

    /Flibble


    Turing machine deciders: Transform finite string
    inputs by finite string transformation rules into

    It turns out that on the basis of the above definition
    and other standard definitions that I have proved
    that the halting problem has always been fundamentally
    incorrect.

    So far only ChatGPT, Claude AI and Grok totally agree
    that I have completely proved my point on that basis.

    LLMs are a deadly poison for cranks of your kind. Even OpenAI recognized
    this.

    --- Synchronet 3.21a-Linux NewsLink 1.2
  • From olcott@polcott333@gmail.com to sci.math,comp.theory,sci.logic,comp.ai.philosophy on Sun Dec 21 20:57:30 2025
    From Newsgroup: comp.theory

    On 12/21/2025 8:25 PM, Python wrote:
    Le 22/12/2025 à 03:08, olcott a écrit :
    On 12/21/2025 7:35 PM, Mr Flibble wrote:
    On Sun, 21 Dec 2025 17:19:50 -0600, olcott wrote:

    On 6/12/2024 11:50 AM, olcott wrote:

    When we compute the mapping from the input to H(D,D) this must apply a >>>>> set of finite string transformation rules (specified by the semantics >>>>> of the x86 language) to this input.


    The above is my first use applying this term to a halt decider.

    My first documented use of the term "finite string transformation
    rules"
    https://groups.google.com/g/comp.theory/c/TFXhleKnHmY/m/lqhDVnvUBgAJ

    *This is the basis for my unique definition of a generic decider*

    Deciders: Transform finite string inputs by finite string
    transformation
    rules into {Accept, Reject} values.

    D halts, H is not a halt decider.

    /Flibble


    Turing machine deciders: Transform finite string
    inputs by finite string transformation rules into

    It turns out that on the basis of the above definition
    and other standard definitions that I have proved
    that the halting problem has always been fundamentally
    incorrect.

    So far only ChatGPT, Claude AI and Grok totally agree
    that I have completely proved my point on that basis.

    LLMs are a deadly poison for cranks of your kind. Even OpenAI recognized this.


    *Not in this specific case*
    Whatever conclusion is derived through correct
    semantic entailment from definitions is a necessary
    consequence of these definitions.

    The only issue that I have had with them is:
    (a) They have to be reminded to pay closer attention
    to exactly what was said.

    (b) To only form conclusions that are semantically
    entailed from definitions.
    --
    Copyright 2025 Olcott<br><br>

    My 28 year goal has been to make <br>
    "true on the basis of meaning expressed in language"<br>
    reliably computable.<br><br>

    This required establishing a new foundation<br>
    --- Synchronet 3.21a-Linux NewsLink 1.2
  • From Richard Damon@Richard@Damon-Family.org to sci.math,comp.theory,sci.logic,comp.ai.philosophy on Sun Dec 21 22:03:23 2025
    From Newsgroup: comp.theory

    On 12/21/25 9:57 PM, olcott wrote:
    On 12/21/2025 8:25 PM, Python wrote:
    Le 22/12/2025 à 03:08, olcott a écrit :
    On 12/21/2025 7:35 PM, Mr Flibble wrote:
    On Sun, 21 Dec 2025 17:19:50 -0600, olcott wrote:

    On 6/12/2024 11:50 AM, olcott wrote:

    When we compute the mapping from the input to H(D,D) this must
    apply a
    set of finite string transformation rules (specified by the semantics >>>>>> of the x86 language) to this input.


    The above is my first use applying this term to a halt decider.

    My first documented use of the term "finite string transformation
    rules"
    https://groups.google.com/g/comp.theory/c/TFXhleKnHmY/m/lqhDVnvUBgAJ >>>>>
    *This is the basis for my unique definition of a generic decider*

    Deciders: Transform finite string inputs by finite string
    transformation
    rules into {Accept, Reject} values.

    D halts, H is not a halt decider.

    /Flibble


    Turing machine deciders: Transform finite string
    inputs by finite string transformation rules into

    It turns out that on the basis of the above definition
    and other standard definitions that I have proved
    that the halting problem has always been fundamentally
    incorrect.

    So far only ChatGPT, Claude AI and Grok totally agree
    that I have completely proved my point on that basis.

    LLMs are a deadly poison for cranks of your kind. Even OpenAI
    recognized this.


    *Not in this specific case*
    Whatever conclusion is derived through correct
    semantic entailment from definitions is a necessary
    consequence of these definitions.

    The only issue that I have had with them is:
    (a) They have to be reminded to pay closer attention
    to exactly what was said.

    (b) To only form conclusions that are semantically
    entailed from definitions.


    Not when the definitions are lies.

    You need to start from CORRECT definitions, and you don't get to change
    the definitions in the context you are trying to talk about.

    As has been mentioned, if you want to totally start over and try to
    create a whole new theory, go ahead. Just remember that no one is
    required to use your theory. It will be your job to try and show it is
    more applicable to the problems people want to do.
    --- Synchronet 3.21a-Linux NewsLink 1.2
  • From Python@python@cccp.invalid to sci.math,comp.theory,sci.logic,comp.ai.philosophy on Mon Dec 22 03:07:41 2025
    From Newsgroup: comp.theory

    Le 22/12/2025 à 03:57, olcott a écrit :
    On 12/21/2025 8:25 PM, Python wrote:
    Le 22/12/2025 à 03:08, olcott a écrit :
    On 12/21/2025 7:35 PM, Mr Flibble wrote:
    On Sun, 21 Dec 2025 17:19:50 -0600, olcott wrote:

    On 6/12/2024 11:50 AM, olcott wrote:

    When we compute the mapping from the input to H(D,D) this must apply a >>>>>> set of finite string transformation rules (specified by the semantics >>>>>> of the x86 language) to this input.


    The above is my first use applying this term to a halt decider.

    My first documented use of the term "finite string transformation
    rules"
    https://groups.google.com/g/comp.theory/c/TFXhleKnHmY/m/lqhDVnvUBgAJ >>>>>
    *This is the basis for my unique definition of a generic decider*

    Deciders: Transform finite string inputs by finite string
    transformation
    rules into {Accept, Reject} values.

    D halts, H is not a halt decider.

    /Flibble


    Turing machine deciders: Transform finite string
    inputs by finite string transformation rules into

    It turns out that on the basis of the above definition
    and other standard definitions that I have proved
    that the halting problem has always been fundamentally
    incorrect.

    So far only ChatGPT, Claude AI and Grok totally agree
    that I have completely proved my point on that basis.

    LLMs are a deadly poison for cranks of your kind. Even OpenAI recognized
    this.


    *Not in this specific case*

    *Especially* in your specific case.


    --- Synchronet 3.21a-Linux NewsLink 1.2
  • From olcott@polcott333@gmail.com to sci.math,comp.theory,sci.logic,comp.ai.philosophy on Sun Dec 21 21:22:46 2025
    From Newsgroup: comp.theory

    On 12/21/2025 9:03 PM, Richard Damon wrote:
    On 12/21/25 9:57 PM, olcott wrote:
    On 12/21/2025 8:25 PM, Python wrote:
    Le 22/12/2025 à 03:08, olcott a écrit :
    On 12/21/2025 7:35 PM, Mr Flibble wrote:
    On Sun, 21 Dec 2025 17:19:50 -0600, olcott wrote:

    On 6/12/2024 11:50 AM, olcott wrote:

    When we compute the mapping from the input to H(D,D) this must
    apply a
    set of finite string transformation rules (specified by the
    semantics
    of the x86 language) to this input.


    The above is my first use applying this term to a halt decider.

    My first documented use of the term "finite string transformation >>>>>> rules"
    https://groups.google.com/g/comp.theory/c/TFXhleKnHmY/m/lqhDVnvUBgAJ >>>>>>
    *This is the basis for my unique definition of a generic decider*

    Deciders: Transform finite string inputs by finite string
    transformation
    rules into {Accept, Reject} values.

    D halts, H is not a halt decider.

    /Flibble


    Turing machine deciders: Transform finite string
    inputs by finite string transformation rules into

    It turns out that on the basis of the above definition
    and other standard definitions that I have proved
    that the halting problem has always been fundamentally
    incorrect.

    So far only ChatGPT, Claude AI and Grok totally agree
    that I have completely proved my point on that basis.

    LLMs are a deadly poison for cranks of your kind. Even OpenAI
    recognized this.


    *Not in this specific case*
    Whatever conclusion is derived through correct
    semantic entailment from definitions is a necessary
    consequence of these definitions.

    The only issue that I have had with them is:
    (a) They have to be reminded to pay closer attention
    to exactly what was said.

    (b) To only form conclusions that are semantically
    entailed from definitions.


    Not when the definitions are lies.

    You need to start from CORRECT definitions, and you don't get to change
    the definitions in the context you are trying to talk about.


    Turing machine deciders: Transform finite string
    inputs by finite string transformation rules into
    {Accept, Reject} values.

    The theory of computation is fine, it is only
    the notion of undecidability that is incorrect.
    --
    Copyright 2025 Olcott<br><br>

    My 28 year goal has been to make <br>
    "true on the basis of meaning expressed in language"<br>
    reliably computable.<br><br>

    This required establishing a new foundation<br>
    --- Synchronet 3.21a-Linux NewsLink 1.2
  • From Richard Damon@Richard@Damon-Family.org to sci.math,comp.theory,sci.logic,comp.ai.philosophy on Sun Dec 21 23:07:19 2025
    From Newsgroup: comp.theory

    On 12/21/25 10:22 PM, olcott wrote:
    On 12/21/2025 9:03 PM, Richard Damon wrote:
    On 12/21/25 9:57 PM, olcott wrote:
    On 12/21/2025 8:25 PM, Python wrote:
    Le 22/12/2025 à 03:08, olcott a écrit :
    On 12/21/2025 7:35 PM, Mr Flibble wrote:
    On Sun, 21 Dec 2025 17:19:50 -0600, olcott wrote:

    On 6/12/2024 11:50 AM, olcott wrote:

    When we compute the mapping from the input to H(D,D) this must >>>>>>>> apply a
    set of finite string transformation rules (specified by the
    semantics
    of the x86 language) to this input.


    The above is my first use applying this term to a halt decider.

    My first documented use of the term "finite string transformation >>>>>>> rules"
    https://groups.google.com/g/comp.theory/c/TFXhleKnHmY/m/lqhDVnvUBgAJ >>>>>>>
    *This is the basis for my unique definition of a generic decider* >>>>>>>
    Deciders: Transform finite string inputs by finite string
    transformation
    rules into {Accept, Reject} values.

    D halts, H is not a halt decider.

    /Flibble


    Turing machine deciders: Transform finite string
    inputs by finite string transformation rules into

    It turns out that on the basis of the above definition
    and other standard definitions that I have proved
    that the halting problem has always been fundamentally
    incorrect.

    So far only ChatGPT, Claude AI and Grok totally agree
    that I have completely proved my point on that basis.

    LLMs are a deadly poison for cranks of your kind. Even OpenAI
    recognized this.


    *Not in this specific case*
    Whatever conclusion is derived through correct
    semantic entailment from definitions is a necessary
    consequence of these definitions.

    The only issue that I have had with them is:
    (a) They have to be reminded to pay closer attention
    to exactly what was said.

    (b) To only form conclusions that are semantically
    entailed from definitions.


    Not when the definitions are lies.

    You need to start from CORRECT definitions, and you don't get to
    change the definitions in the context you are trying to talk about.


    Turing machine deciders: Transform finite string
    inputs by finite string transformation rules into
    {Accept, Reject} values.

    The theory of computation is fine, it is only
    the notion of undecidability that is incorrect.


    And why is that?

    Only because you don't lihe that a nature question that comes out of it
    turns out to be uncomputable.

    The Theory of Computations is about taking a defined mapping of some
    input domain to some output range. Computability is about the question
    of *IF* there exists a finite algorithm, like embodied in a machine,
    that can transform a representation of the input domain to the correct
    item of the output range.

    THe Halting Question is about the input domain of Turing Machines with
    their input, and the mapping of the behavior of that input to whether
    said machine+input will halt when it is run, or continue forever

    This machine can be represented by an appropriate input that has all the information to define this behavior, as shown by the fact that there
    exists a UTM that can process that reperesentation to produce the exact behavior of the machine in question.

    Thus, this defines a total mapping of ALL possible inputs in the domain
    to values in the output range, and thus is a suitible question to ask.

    THe fact that it turns out that no machine can be created that gives the
    right answer to every input shows that this mapping happens to be uncomputable, and thus the problem is undecidable.

    Your answer is the equivalent of saying that because we can't see atoms
    with our naked eye, we can't talk about them existing.

    Your mind just can't handle the concept that there are things that are
    that you can not know, because it crushes your ego too much.

    Sorry, but your problem is with you, not how the logic system defines
    things, IT bothers you so much you have shut your eyes to the truth and
    are going it can't be true because a can't see it because I have made
    myself too stupid to see it.
    --- Synchronet 3.21a-Linux NewsLink 1.2
  • From olcott@polcott333@gmail.com to sci.math,comp.theory,sci.logic,comp.ai.philosophy on Sun Dec 21 22:26:02 2025
    From Newsgroup: comp.theory

    On 12/21/2025 10:07 PM, Richard Damon wrote:
    On 12/21/25 10:22 PM, olcott wrote:
    On 12/21/2025 9:03 PM, Richard Damon wrote:
    On 12/21/25 9:57 PM, olcott wrote:
    On 12/21/2025 8:25 PM, Python wrote:
    Le 22/12/2025 à 03:08, olcott a écrit :
    On 12/21/2025 7:35 PM, Mr Flibble wrote:
    On Sun, 21 Dec 2025 17:19:50 -0600, olcott wrote:

    On 6/12/2024 11:50 AM, olcott wrote:

    When we compute the mapping from the input to H(D,D) this must >>>>>>>>> apply a
    set of finite string transformation rules (specified by the >>>>>>>>> semantics
    of the x86 language) to this input.


    The above is my first use applying this term to a halt decider. >>>>>>>>
    My first documented use of the term "finite string
    transformation rules"
    https://groups.google.com/g/comp.theory/c/TFXhleKnHmY/m/
    lqhDVnvUBgAJ

    *This is the basis for my unique definition of a generic decider* >>>>>>>>
    Deciders: Transform finite string inputs by finite string
    transformation
    rules into {Accept, Reject} values.

    D halts, H is not a halt decider.

    /Flibble


    Turing machine deciders: Transform finite string
    inputs by finite string transformation rules into

    It turns out that on the basis of the above definition
    and other standard definitions that I have proved
    that the halting problem has always been fundamentally
    incorrect.

    So far only ChatGPT, Claude AI and Grok totally agree
    that I have completely proved my point on that basis.

    LLMs are a deadly poison for cranks of your kind. Even OpenAI
    recognized this.


    *Not in this specific case*
    Whatever conclusion is derived through correct
    semantic entailment from definitions is a necessary
    consequence of these definitions.

    The only issue that I have had with them is:
    (a) They have to be reminded to pay closer attention
    to exactly what was said.

    (b) To only form conclusions that are semantically
    entailed from definitions.


    Not when the definitions are lies.

    You need to start from CORRECT definitions, and you don't get to
    change the definitions in the context you are trying to talk about.


    Turing machine deciders: Transform finite string
    inputs by finite string transformation rules into
    {Accept, Reject} values.

    The theory of computation is fine, it is only
    the notion of undecidability that is incorrect.


    And why is that?


    You will see in the other thread.
    --
    Copyright 2025 Olcott<br><br>

    My 28 year goal has been to make <br>
    "true on the basis of meaning expressed in language"<br>
    reliably computable.<br><br>

    This required establishing a new foundation<br>
    --- Synchronet 3.21a-Linux NewsLink 1.2
  • From Richard Damon@Richard@Damon-Family.org to sci.math,comp.theory,sci.logic,comp.ai.philosophy on Mon Dec 22 07:38:16 2025
    From Newsgroup: comp.theory

    On 12/21/25 11:26 PM, olcott wrote:
    On 12/21/2025 10:07 PM, Richard Damon wrote:
    On 12/21/25 10:22 PM, olcott wrote:
    On 12/21/2025 9:03 PM, Richard Damon wrote:
    On 12/21/25 9:57 PM, olcott wrote:
    On 12/21/2025 8:25 PM, Python wrote:
    Le 22/12/2025 à 03:08, olcott a écrit :
    On 12/21/2025 7:35 PM, Mr Flibble wrote:
    On Sun, 21 Dec 2025 17:19:50 -0600, olcott wrote:

    On 6/12/2024 11:50 AM, olcott wrote:

    When we compute the mapping from the input to H(D,D) this must >>>>>>>>>> apply a
    set of finite string transformation rules (specified by the >>>>>>>>>> semantics
    of the x86 language) to this input.


    The above is my first use applying this term to a halt decider. >>>>>>>>>
    My first documented use of the term "finite string
    transformation rules"
    https://groups.google.com/g/comp.theory/c/TFXhleKnHmY/m/
    lqhDVnvUBgAJ

    *This is the basis for my unique definition of a generic decider* >>>>>>>>>
    Deciders: Transform finite string inputs by finite string
    transformation
    rules into {Accept, Reject} values.

    D halts, H is not a halt decider.

    /Flibble


    Turing machine deciders: Transform finite string
    inputs by finite string transformation rules into

    It turns out that on the basis of the above definition
    and other standard definitions that I have proved
    that the halting problem has always been fundamentally
    incorrect.

    So far only ChatGPT, Claude AI and Grok totally agree
    that I have completely proved my point on that basis.

    LLMs are a deadly poison for cranks of your kind. Even OpenAI
    recognized this.


    *Not in this specific case*
    Whatever conclusion is derived through correct
    semantic entailment from definitions is a necessary
    consequence of these definitions.

    The only issue that I have had with them is:
    (a) They have to be reminded to pay closer attention
    to exactly what was said.

    (b) To only form conclusions that are semantically
    entailed from definitions.


    Not when the definitions are lies.

    You need to start from CORRECT definitions, and you don't get to
    change the definitions in the context you are trying to talk about.


    Turing machine deciders: Transform finite string
    inputs by finite string transformation rules into
    {Accept, Reject} values.

    The theory of computation is fine, it is only
    the notion of undecidability that is incorrect.


    And why is that?


    You will see in the other thread.


    But you are wrong there too.

    Sorry, all you are doing is proving you don't know what truth is, or
    logic, or correct, etc.
    --- Synchronet 3.21a-Linux NewsLink 1.2