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From: Mikko <mikko.levanto@iki.fi>
Newsgroups: comp.theory
Subject: Re: H(D,D) cannot even be asked about the behavior of D(D)
Date: Thu, 20 Jun 2024 08:04:20 +0300
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On 2024-06-19 13:37:53 +0000, olcott said:

> On 6/19/2024 3:07 AM, Mikko wrote:
>> On 2024-06-18 16:36:53 +0000, olcott said:
>> 
>>> On 6/18/2024 11:27 AM, Mikko wrote:
>>>> On 2024-06-18 15:44:16 +0000, olcott said:
>>>> 
>>>>> On 6/18/2024 10:36 AM, Mikko wrote:
>>>>>> On 2024-06-18 12:46:13 +0000, olcott said:
>>>>>> 
>>>>>>> On 6/18/2024 2:44 AM, Mikko wrote:
>>>>>>>> On 2024-06-17 12:51:15 +0000, olcott said:
>>>>>>>> 
>>>>>>>>> On 6/17/2024 2:10 AM, Mikko wrote:
>>>>>>>>>> On 2024-06-16 12:59:02 +0000, olcott said:
>>>>>>>>>> 
>>>>>>>>>>> On 6/16/2024 4:15 AM, Mikko wrote:
>>>>>>>>>>>> On 2024-06-15 13:24:45 +0000, olcott said:
>>>>>>>>>>>> 
>>>>>>>>>>>>> On 6/15/2024 7:33 AM, Mikko wrote:
>>>>>>>>>>>>>> On 2024-06-15 11:34:39 +0000, joes said:
>>>>>>>>>>>>>> 
>>>>>>>>>>>>>>> Am Fri, 14 Jun 2024 12:39:15 -0500 schrieb olcott:
>>>>>>>>>>>>>>>> On 6/14/2024 10:54 AM, joes wrote:
>>>>>>>>>>>>>>>>> Am Fri, 14 Jun 2024 08:15:52 -0500 schrieb olcott:
>>>>>>>>>>>>>>>>>> On 6/14/2024 6:39 AM, Richard Damon wrote:
>>>>>>>>>>>>>>>>>>> On 6/14/24 12:13 AM, olcott wrote:
>>>>>>>>>>>>>>>>>>>> On 6/13/2024 10:44 PM, Richard Damon wrote:
>>>>>>>>>>>>>>>>>>>>> On 6/13/24 11:14 PM, olcott wrote:
>>>>>>>>>>>>>>>>>>>>>> On 6/13/2024 10:04 PM, Richard Damon wrote:
>>>>>>>>>>>>>>>>>>>>>>> On 6/13/24 9:39 PM, olcott wrote:
>>>>>>>>>>>>>>>>>>>>>>>> On 6/13/2024 8:24 PM, Richard Damon wrote:
>>>>>>>>>>>>>>>>>>>>>>>>> On 6/13/24 11:32 AM, olcott wrote:
>>>>>>>>>>>>>>> 
>>>>>>>>>>>>>>>>>> When H and D have a pathological relationship to each other then
>>>>>>>>>>>>>>>>>> H(D,D) is not being asked about the behavior of D(D). H1(D,D) has no
>>>>>>>>>>>>>>>>>> such pathological relationship thus D correctly simulated by H1 is the
>>>>>>>>>>>>>>>>>> behavior of D(D).
>>>>>>>>>>>>>>> What is H1 asked?
>>>>>>>>>>>>>>>>> H is asked whether its input halts, and by definition should give the
>>>>>>>>>>>>>>>>> (right) answer for every input.
>>>>>>>>>>>>>>>> If we used that definition of decider then no human ever decided
>>>>>>>>>>>>>>>> anything because every human has made at least one mistake.
>>>>>>>>>>>>>>> Yes. Humans are not machines.
>>>>>>>>>>>>>>>> I use the term "termination analyzer" as a close fit. The term partial
>>>>>>>>>>>>>>>> halt decider is more accurate yet confuses most people.
>>>>>>>>>>>>>> 
>>>>>>>>>>>>>> Olcott has used the term "termination analyzer", though whether he knows
>>>>>>>>>>>>>> what it means is unclear.
>>>>>>>>>>>>>> 
>>>>>>>>>>>>> 
>>>>>>>>>>>>> To prove (non-)termination of a C program, AProVE uses the Clang 
>>>>>>>>>>>>> compiler [7] to translate it to the intermediate representation of the 
>>>>>>>>>>>>> LLVM framework [15]. Then AProVE symbolically executes the LLVM program 
>>>>>>>>>>>>> and uses abstraction to obtain a finite symbolic execution graph (SEG) 
>>>>>>>>>>>>> containing all possible program runs.
>>>>>>>>>>>> 
>>>>>>>>>>>> AProVE is a particular attempt, not a defintion.
>>>>>>>>>>>> 
>>>>>>>>>>> 
>>>>>>>>>>> If you say: What is a duck? and I point to a duck that
>>>>>>>>>>> *is* what a duck is.
>>>>>>>>>> 
>>>>>>>>>> That would be just an example, not a definition. In particular, it does
>>>>>>>>>> not tell about another being whether it can be called a "duck".
>>>>>>>>>> 
>>>>>>>>>>> *Termination analysis*
>>>>>>>>>>> In computer science, termination analysis is program analysis which
>>>>>>>>>>> attempts to determine whether the evaluation of a given program halts
>>>>>>>>>>> for each input. This means to determine whether the input program
>>>>>>>>>>> computes a total function.
>>>>>>>>>>> https://en.wikipedia.org/wiki/Termination_analysis
>>>>>>>>>>> 
>>>>>>>>>>> I pointed out AProVE because it is essentially a simulating
>>>>>>>>>>> halt decider with a limited domain.
>>>>>>>>>> 
>>>>>>>>>> A difference between AProVE and a partial halt decider is that the input
>>>>>>>>>> to AProVE is only a program but not an input to that program but the
>>>>>>>>>> input to a partial halt decider contains both.
>>>>>>>>>> 
>>>>>>>>>>>>> *AProVE: Non-Termination Witnesses for C Programs*
>>>>>>>>>>>>> https://link.springer.com/content/pdf/10.1007/978-3-030-99527-0_21.pdf
>>>>>>>>>> 
>>>>>>>>> 
>>>>>>>>> AProVE is a kind of simulating termination analyzer.
>>>>>>>> 
>>>>>>>> Not really. It does not simulate.
>>>>>>>> 
>>>>>>> 
>>>>>>> To prove (non-)termination of a C program, AProVE uses the Clang
>>>>>>> compiler [7] to translate it to the intermediate representation of the
>>>>>>> LLVM framework [15].Then AProVE *symbolically executes the LLVM program*
>>>>>> 
>>>>>> I.e., does not simulate.
>>>>>> 
>>>>> 
>>>>> So maybe: *symbolically executes the LLVM program*
>>>>> means jumping up and down yelling and screaming?
>>>> 
>>>> Not a bad guess but not quite right either.
>>>> 
>>>>> AProVE does form its non-halting decision on the basis of the
>>>>> dynamic behavior of its input instead of any static analysis.
>>>> 
>>>> It is a kind of static analysis. The important diffrence is that
>>>> in a simulation there would be a specific input but AProVE considers
>>>> all possible inputs at the same time.
>>>> 
>>> 
>>> None-the-less it does derive the directly graph of all
>>> control flows on the basis of
>>> *symbolically executes the LLVM program*
>> 
>> It is still unclear whether you know what "termination analyzer" means.
>> Which doesn't matter as nobody believes you anyway.
>> 
> 
> It is dishonest to dismiss my reasoning out-of-hand without
> finding an actual error.

So many of your errors have been found and analyzed that one more
or less makes no difference.

> For my first three examples that have no input H0 is a termination
> analyzer.

Sitll inclear whether you know what "termination analyzer" means.

> For my next example that has an input there is no existing
> term of the art that exactly fits besides halt decider with a limited
> domain or partial halt decider.

The latter is better.

> This is too confusing to my software engineer reviewers.

The cause of confusion is that you use common words in a way that
is not compatible with their common meanings. If one cannot trust
that you know what your words mean one cannot understand what you
are trying to say.

-- 
Mikko