*This defines the scope of computation*
A Turing-machine decider is a Turing machine D that
computes a total function D: Σ∗ → {Accept,Reject},
where Σ∗ is the set of all finite strings over the input
alphabet. That is:
1. Totality: For every finite string input w ∈ Σ∗, D
halts and outputs either Accept or Reject.
*This is semantically entailed from this definition*
Any requirement that requires more than the above
definition can provide is a requirement that is outside
of the scope of computation.
On 12/24/25 2:20 PM, olcott wrote:
*This defines the scope of computation*
A Turing-machine decider is a Turing machine D that
computes a total function D: Σ∗ → {Accept,Reject},
where Σ∗ is the set of all finite strings over the input
alphabet. That is:
1. Totality: For every finite string input w ∈ Σ∗, D
halts and outputs either Accept or Reject.
*This is semantically entailed from this definition*
Any requirement that requires more than the above
definition can provide is a requirement that is outside
of the scope of computation.
FALSE, proving you don't understand the meaning of "Scope".
On 12/24/2025 1:28 PM, Richard Damon wrote:
On 12/24/25 2:20 PM, olcott wrote:
*This defines the scope of computation*
A Turing-machine decider is a Turing machine D that
computes a total function D: Σ∗ → {Accept,Reject},
where Σ∗ is the set of all finite strings over the input
alphabet. That is:
1. Totality: For every finite string input w ∈ Σ∗, D
halts and outputs either Accept or Reject.
*This is semantically entailed from this definition*
Any requirement that requires more than the above
definition can provide is a requirement that is outside
of the scope of computation.
FALSE, proving you don't understand the meaning of "Scope".
Instead of spouting off dogma any idiot can do
that, you define what you think that the term
"scope of computation" actually means.
This is what Google AI said.
The "scope of computation" refers to the range
and limits of what can be solved or processed
using algorithms and computational methods.
That is what I mean. What do you mean?
On 12/24/25 3:11 PM, olcott wrote:
On 12/24/2025 1:28 PM, Richard Damon wrote:
On 12/24/25 2:20 PM, olcott wrote:
*This defines the scope of computation*
A Turing-machine decider is a Turing machine D that
computes a total function D: Σ∗ → {Accept,Reject},
where Σ∗ is the set of all finite strings over the input
alphabet. That is:
1. Totality: For every finite string input w ∈ Σ∗, D
halts and outputs either Accept or Reject.
*This is semantically entailed from this definition*
Any requirement that requires more than the above
definition can provide is a requirement that is outside
of the scope of computation.
FALSE, proving you don't understand the meaning of "Scope".
Instead of spouting off dogma any idiot can do
that, you define what you think that the term
"scope of computation" actually means.
You are using the wrong term.
It is the Scope of the Theory of Computation, which is the list of
problems that we are allowed to ask a Turing Machine/Computation to try
to compute.
That list of problems is ANY mapping of a source domain (expressed to
the machine via some representation) to an answer domain (again
expressed via some representaiton)
This is what Google AI said.
The "scope of computation" refers to the range
and limits of what can be solved or processed
using algorithms and computational methods.
That is what I mean. What do you mean?
Which isn't the Scope of the Theory of Compuation, but a descption of
what is actually computable,
the determination of this is the goal of--
the Theory of Computability.
Again, you don't understand what you are talking about, so you get the
wrong definition.
Part of your problem is that you use words that are so close to being correct, that by giving you the benefit of the doubt, and then you show
that you got just luck to use words that sounded correct, but you really didn't know what you were talking about.
On 12/24/2025 2:33 PM, Richard Damon wrote:
On 12/24/25 3:11 PM, olcott wrote:
On 12/24/2025 1:28 PM, Richard Damon wrote:
On 12/24/25 2:20 PM, olcott wrote:
*This defines the scope of computation*
A Turing-machine decider is a Turing machine D that
computes a total function D: Σ∗ → {Accept,Reject},
where Σ∗ is the set of all finite strings over the input
alphabet. That is:
1. Totality: For every finite string input w ∈ Σ∗, D
halts and outputs either Accept or Reject.
*This is semantically entailed from this definition*
Any requirement that requires more than the above
definition can provide is a requirement that is outside
of the scope of computation.
FALSE, proving you don't understand the meaning of "Scope".
Instead of spouting off dogma any idiot can do
that, you define what you think that the term
"scope of computation" actually means.
You are using the wrong term.
It is the Scope of the Theory of Computation, which is the list of
problems that we are allowed to ask a Turing Machine/Computation to
try to compute.
That list of problems is ANY mapping of a source domain (expressed to
the machine via some representation) to an answer domain (again
expressed via some representaiton)
This is what Google AI said.
The "scope of computation" refers to the range
and limits of what can be solved or processed
using algorithms and computational methods.
That is what I mean. What do you mean?
Which isn't the Scope of the Theory of Compuation, but a descption of
what is actually computable,
The scope of computation is the boundary of
what is and what is not computable.
Turing machine deciders: Transform finite string
inputs by finite string transformation rules into
{Accept, Reject} values.
*Translated into this formal specification*
*DEFINE the actual limits of computation*
*DEFINE the actual limits of computation*
*DEFINE the actual limits of computation*
A Turing-machine decider is a Turing machine D that
computes a total function D : Σ∗ → {Accept,Reject},
where Σ∗ is the set of all finite strings over the
input alphabet. That is:
1. Totality: For every finite string input w ∈ Σ∗,
D halts and outputs either Accept or Reject.
the determination of this is the goal of the Theory of Computability.
Again, you don't understand what you are talking about, so you get the
wrong definition.
Part of your problem is that you use words that are so close to being
correct, that by giving you the benefit of the doubt, and then you
show that you got just luck to use words that sounded correct, but you
really didn't know what you were talking about.
On 12/24/25 3:56 PM, olcott wrote:
On 12/24/2025 2:33 PM, Richard Damon wrote:
On 12/24/25 3:11 PM, olcott wrote:
On 12/24/2025 1:28 PM, Richard Damon wrote:
On 12/24/25 2:20 PM, olcott wrote:
*This defines the scope of computation*
A Turing-machine decider is a Turing machine D that
computes a total function D: Σ∗ → {Accept,Reject},
where Σ∗ is the set of all finite strings over the input
alphabet. That is:
1. Totality: For every finite string input w ∈ Σ∗, D
halts and outputs either Accept or Reject.
*This is semantically entailed from this definition*
Any requirement that requires more than the above
definition can provide is a requirement that is outside
of the scope of computation.
FALSE, proving you don't understand the meaning of "Scope".
Instead of spouting off dogma any idiot can do
that, you define what you think that the term
"scope of computation" actually means.
You are using the wrong term.
It is the Scope of the Theory of Computation, which is the list of
problems that we are allowed to ask a Turing Machine/Computation to
try to compute.
That list of problems is ANY mapping of a source domain (expressed to
the machine via some representation) to an answer domain (again
expressed via some representaiton)
This is what Google AI said.
The "scope of computation" refers to the range
and limits of what can be solved or processed
using algorithms and computational methods.
That is what I mean. What do you mean?
Which isn't the Scope of the Theory of Compuation, but a descption of
what is actually computable,
The scope of computation is the boundary of
what is and what is not computable.
Which is NOT the boundry of what you can ask of a decider, as it is
allowed for the Function to not be computable.
You are confusing the boundary of ABILITY with the boundry of allowed REQUIREMENT.
Turing machine deciders: Transform finite string
inputs by finite string transformation rules into
{Accept, Reject} values.
*Translated into this formal specification*
*DEFINE the actual limits of computation*
*DEFINE the actual limits of computation*
*DEFINE the actual limits of computation*
Of what is COMPUTABLE, not what can be asked to try to compute.
A Turing-machine decider is a Turing machine D that
computes a total function D : Σ∗ → {Accept,Reject},
where Σ∗ is the set of all finite strings over the
input alphabet. That is:
And, to be an XXXX Decider, must produce the mapping of the XXXX function,
Sorry, you are just proving you are too stupid to understand what you
are talking about.
On 12/24/2025 3:38 PM, Richard Damon wrote:
On 12/24/25 3:56 PM, olcott wrote:
On 12/24/2025 2:33 PM, Richard Damon wrote:
On 12/24/25 3:11 PM, olcott wrote:
On 12/24/2025 1:28 PM, Richard Damon wrote:
On 12/24/25 2:20 PM, olcott wrote:
*This defines the scope of computation*
A Turing-machine decider is a Turing machine D that
computes a total function D: Σ∗ → {Accept,Reject},
where Σ∗ is the set of all finite strings over the input
alphabet. That is:
1. Totality: For every finite string input w ∈ Σ∗, D
halts and outputs either Accept or Reject.
*This is semantically entailed from this definition*
Any requirement that requires more than the above
definition can provide is a requirement that is outside
of the scope of computation.
FALSE, proving you don't understand the meaning of "Scope".
Instead of spouting off dogma any idiot can do
that, you define what you think that the term
"scope of computation" actually means.
You are using the wrong term.
It is the Scope of the Theory of Computation, which is the list of
problems that we are allowed to ask a Turing Machine/Computation to
try to compute.
That list of problems is ANY mapping of a source domain (expressed
to the machine via some representation) to an answer domain (again
expressed via some representaiton)
This is what Google AI said.
The "scope of computation" refers to the range
and limits of what can be solved or processed
using algorithms and computational methods.
That is what I mean. What do you mean?
Which isn't the Scope of the Theory of Compuation, but a descption
of what is actually computable,
The scope of computation is the boundary of
what is and what is not computable.
Which is NOT the boundry of what you can ask of a decider, as it is
allowed for the Function to not be computable.
You are confusing the boundary of ABILITY with the boundry of allowed
REQUIREMENT.
You are confusing that requirement can exceed an ability.
Some idiot could "require" the a Turing Machine to
compute the last digit PI.
Turing machine deciders: Transform finite string
inputs by finite string transformation rules into
{Accept, Reject} values.
*Translated into this formal specification*
*DEFINE the actual limits of computation*
*DEFINE the actual limits of computation*
*DEFINE the actual limits of computation*
Of what is COMPUTABLE, not what can be asked to try to compute.
Asking it try try to compute anything outside the
scope of computation is nuts.
A Turing-machine decider is a Turing machine D that
computes a total function D : Σ∗ → {Accept,Reject},
where Σ∗ is the set of all finite strings over the
input alphabet. That is:
And, to be an XXXX Decider, must produce the mapping of the XXXX
function,
Not when no such mapping exists as transformations
from finite string INPUTS INPUTS INPUTS INPUTS
INPUTS INPUTS INPUTS INPUTS
INPUTS INPUTS INPUTS INPUTS
INPUTS INPUTS INPUTS INPUTS
According to the specification of the limits of computation.
Sorry, you are just proving you are too stupid to understand what you
are talking about.
It is not me that is too stupid here.
*This defines the scope of computation*
A Turing-machine decider is a Turing machine D that
computes a total function D: Σ∗ → {Accept,Reject},
where Σ∗ is the set of all finite strings over the input
alphabet. That is:
1. Totality: For every finite string input w ∈ Σ∗, D
halts and outputs either Accept or Reject.
*This is semantically entailed from this definition*
Any requirement that requires more than the above
definition can provide is a requirement that is outside
of the scope of computation.
When Decider H is required to compute a mapping
from its input P to the halt status of UTM(P)
and THIS MAPPING DOES NOT EXIST then it is the
requirement itself that is incorrect.
On 12/24/25 5:01 PM, olcott wrote:
On 12/24/2025 3:38 PM, Richard Damon wrote:
On 12/24/25 3:56 PM, olcott wrote:
On 12/24/2025 2:33 PM, Richard Damon wrote:
On 12/24/25 3:11 PM, olcott wrote:
On 12/24/2025 1:28 PM, Richard Damon wrote:
On 12/24/25 2:20 PM, olcott wrote:
*This defines the scope of computation*
A Turing-machine decider is a Turing machine D that
computes a total function D: Σ∗ → {Accept,Reject},
where Σ∗ is the set of all finite strings over the input
alphabet. That is:
1. Totality: For every finite string input w ∈ Σ∗, D
halts and outputs either Accept or Reject.
*This is semantically entailed from this definition*
Any requirement that requires more than the above
definition can provide is a requirement that is outside
of the scope of computation.
FALSE, proving you don't understand the meaning of "Scope".
Instead of spouting off dogma any idiot can do
that, you define what you think that the term
"scope of computation" actually means.
You are using the wrong term.
It is the Scope of the Theory of Computation, which is the list of
problems that we are allowed to ask a Turing Machine/Computation to >>>>> try to compute.
That list of problems is ANY mapping of a source domain (expressed
to the machine via some representation) to an answer domain (again
expressed via some representaiton)
This is what Google AI said.
The "scope of computation" refers to the range
and limits of what can be solved or processed
using algorithms and computational methods.
That is what I mean. What do you mean?
Which isn't the Scope of the Theory of Compuation, but a descption
of what is actually computable,
The scope of computation is the boundary of
what is and what is not computable.
Which is NOT the boundry of what you can ask of a decider, as it is
allowed for the Function to not be computable.
You are confusing the boundary of ABILITY with the boundry of allowed
REQUIREMENT.
You are confusing that requirement can exceed an ability.
Some idiot could "require" the a Turing Machine to
compute the last digit PI.
Sure, and that IS one operation that a Turing Machine (in a different
model) could do, One of his early paper talked about using Turing
Machines to compute real numbers, by continuing to compute the next
digit of the number, and then the one after that, and so on.
Of course, there machines never stop to complete if the number is irrational.
Turing machine deciders: Transform finite string
inputs by finite string transformation rules into
{Accept, Reject} values.
*Translated into this formal specification*
*DEFINE the actual limits of computation*
*DEFINE the actual limits of computation*
*DEFINE the actual limits of computation*
Of what is COMPUTABLE, not what can be asked to try to compute.
Asking it try try to compute anything outside the
scope of computation is nuts.
But it is in the Scope of Computation Theory and a valid request for a decider.
You just don't understand what you are talking about.
A Turing-machine decider is a Turing machine D that
computes a total function D : Σ∗ → {Accept,Reject},
where Σ∗ is the set of all finite strings over the
input alphabet. That is:
And, to be an XXXX Decider, must produce the mapping of the XXXX
function,
Not when no such mapping exists as transformations
from finite string INPUTS INPUTS INPUTS INPUTS
INPUTS INPUTS INPUTS INPUTS
INPUTS INPUTS INPUTS INPUTS
INPUTS INPUTS INPUTS INPUTS
According to the specification of the limits of computation.
Right, and that input *IS* the string that specifies fully the algorithm
of the machine, and thus it if valid to ask about semantic properties
that derive from the running of siad machine.
If that wasn't a valid request, then you system just doesn't support semantic properties.--
Sorry, you are just proving you are too stupid to understand what you
are talking about.
It is not me that is too stupid here.
Sure it is. You are just to stupid to realize it.
You can't show what your logic is based on, except your own fantasies.
Your world is just internally inconsistant, because you are just insane.
On 12/24/2025 5:10 PM, Richard Damon wrote:
On 12/24/25 5:01 PM, olcott wrote:
On 12/24/2025 3:38 PM, Richard Damon wrote:
On 12/24/25 3:56 PM, olcott wrote:
On 12/24/2025 2:33 PM, Richard Damon wrote:
On 12/24/25 3:11 PM, olcott wrote:
On 12/24/2025 1:28 PM, Richard Damon wrote:
On 12/24/25 2:20 PM, olcott wrote:
*This defines the scope of computation*
A Turing-machine decider is a Turing machine D that
computes a total function D: Σ∗ → {Accept,Reject},
where Σ∗ is the set of all finite strings over the input
alphabet. That is:
1. Totality: For every finite string input w ∈ Σ∗, D
halts and outputs either Accept or Reject.
*This is semantically entailed from this definition*
Any requirement that requires more than the above
definition can provide is a requirement that is outside
of the scope of computation.
FALSE, proving you don't understand the meaning of "Scope".
Instead of spouting off dogma any idiot can do
that, you define what you think that the term
"scope of computation" actually means.
You are using the wrong term.
It is the Scope of the Theory of Computation, which is the list of >>>>>> problems that we are allowed to ask a Turing Machine/Computation
to try to compute.
That list of problems is ANY mapping of a source domain (expressed >>>>>> to the machine via some representation) to an answer domain (again >>>>>> expressed via some representaiton)
This is what Google AI said.
The "scope of computation" refers to the range
and limits of what can be solved or processed
using algorithms and computational methods.
That is what I mean. What do you mean?
Which isn't the Scope of the Theory of Compuation, but a descption >>>>>> of what is actually computable,
The scope of computation is the boundary of
what is and what is not computable.
Which is NOT the boundry of what you can ask of a decider, as it is
allowed for the Function to not be computable.
You are confusing the boundary of ABILITY with the boundry of
allowed REQUIREMENT.
You are confusing that requirement can exceed an ability.
Some idiot could "require" the a Turing Machine to
compute the last digit PI.
Sure, and that IS one operation that a Turing Machine (in a different
model) could do, One of his early paper talked about using Turing
Machines to compute real numbers, by continuing to compute the next
digit of the number, and then the one after that, and so on.
Of course, there machines never stop to complete if the number is
irrational.
Turing machine deciders: Transform finite string
inputs by finite string transformation rules into
{Accept, Reject} values.
*Translated into this formal specification*
*DEFINE the actual limits of computation*
*DEFINE the actual limits of computation*
*DEFINE the actual limits of computation*
Of what is COMPUTABLE, not what can be asked to try to compute.
Asking it try try to compute anything outside the
scope of computation is nuts.
But it is in the Scope of Computation Theory and a valid request for a
decider.
You just don't understand what you are talking about.
I have proven that I am correct and you
are merely biased by the conventional view.
A Turing-machine decider is a Turing machine D that
computes a total function D : Σ∗ → {Accept,Reject},
where Σ∗ is the set of all finite strings over the
input alphabet. That is:
And, to be an XXXX Decider, must produce the mapping of the XXXX
function,
Not when no such mapping exists as transformations
from finite string INPUTS INPUTS INPUTS INPUTS
INPUTS INPUTS INPUTS INPUTS
INPUTS INPUTS INPUTS INPUTS
INPUTS INPUTS INPUTS INPUTS
According to the specification of the limits of computation.
Right, and that input *IS* the string that specifies fully the
algorithm of the machine, and thus it if valid to ask about semantic
properties that derive from the running of siad machine.
INPUTS INPUTS INPUTS INPUTS TO H DO NOT SPECIFY THIS
INPUTS INPUTS INPUTS INPUTS TO H DO NOT SPECIFY THIS
INPUTS INPUTS INPUTS INPUTS TO H DO NOT SPECIFY THIS
INPUTS INPUTS INPUTS INPUTS TO H DO NOT SPECIFY THIS
INPUTS INPUTS INPUTS INPUTS TO H DO NOT SPECIFY THIS
INPUTS INPUTS INPUTS INPUTS TO H DO NOT SPECIFY THIS
INPUTS INPUTS INPUTS INPUTS TO H DO NOT SPECIFY THIS
INPUTS INPUTS INPUTS INPUTS TO H DO NOT SPECIFY THIS
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INPUTS INPUTS INPUTS INPUTS TO H DO NOT SPECIFY THIS
INPUTS INPUTS INPUTS INPUTS TO H DO NOT SPECIFY THIS
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INPUTS INPUTS INPUTS INPUTS TO H DO NOT SPECIFY THIS
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INPUTS INPUTS INPUTS INPUTS TO H DO NOT SPECIFY THIS
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INPUTS INPUTS INPUTS INPUTS TO H DO NOT SPECIFY THIS
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INPUTS INPUTS INPUTS INPUTS TO H DO NOT SPECIFY THIS
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INPUTS INPUTS INPUTS INPUTS TO H DO NOT SPECIFY THIS
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INPUTS INPUTS INPUTS INPUTS TO H DO NOT SPECIFY THIS
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INPUTS INPUTS INPUTS INPUTS TO H DO NOT SPECIFY THIS
INPUTS INPUTS INPUTS INPUTS TO H DO NOT SPECIFY THIS
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INPUTS INPUTS INPUTS INPUTS TO H DO NOT SPECIFY THIS
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INPUTS INPUTS INPUTS INPUTS TO H DO NOT SPECIFY THIS
INPUTS INPUTS INPUTS INPUTS TO H DO NOT SPECIFY THIS
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INPUTS INPUTS INPUTS INPUTS TO H DO NOT SPECIFY THIS
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INPUTS INPUTS INPUTS INPUTS TO H DO NOT SPECIFY THIS
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INPUTS INPUTS INPUTS INPUTS TO H DO NOT SPECIFY THIS
INPUTS INPUTS INPUTS INPUTS TO H DO NOT SPECIFY THIS
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INPUTS INPUTS INPUTS INPUTS TO H DO NOT SPECIFY THIS
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INPUTS INPUTS INPUTS INPUTS TO H DO NOT SPECIFY THIS
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If that wasn't a valid request, then you system just doesn't support
semantic properties.
Sorry, you are just proving you are too stupid to understand what
you are talking about.
It is not me that is too stupid here.
Sure it is. You are just to stupid to realize it.
You can't show what your logic is based on, except your own fantasies.
Your world is just internally inconsistant, because you are just insane.
| Sysop: | DaiTengu |
|---|---|
| Location: | Appleton, WI |
| Users: | 1,090 |
| Nodes: | 10 (1 / 9) |
| Uptime: | 59:51:17 |
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| Calls today: | 1 |
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| D/L today: |
2,695 files (773M bytes) |
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