Sujet : Re: I have always been correct about emulating termination analyzers --- PROOF
De : mikko.levanto (at) *nospam* iki.fi (Mikko)
Groupes : comp.theoryDate : 22. Oct 2024, 08:13:57
Autres entêtes
Organisation : -
Message-ID : <vf7jbl$1cr7h$1@dont-email.me>
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On 2024-10-21 13:52:28 +0000, olcott said:
On 10/21/2024 3:41 AM, Mikko wrote:
On 2024-10-20 15:32:45 +0000, olcott said:
The actual barest essence for formal systems and computations
is finite string transformation rules applied to finite strings.
Before you can start from that you need a formal theory that
can be interpreted as a theory of finite strings.
Not at all. The only theory needed are the operations
that can be performed on finite strings:
concatenation, substring, relational operator ...
You may try with an informal foundation but you need to make sure
that it is sufficicently well defined and that is easier with a
formal theory.
The minimal complete theory that I can think of computes
the sum of pairs of ASCII digit strings.
That is easily extended to Peano arithmetic.
As a bottom layer you need some sort of logic. There must be unambifuous
rules about syntax and inference.
-- Mikko
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