proof theory - définition. Qu'est-ce que proof theory
Diclib.com
Dictionnaire ChatGPT
Entrez un mot ou une phrase dans n'importe quelle langue 👆
Langue:

Traduction et analyse de mots par intelligence artificielle ChatGPT

Sur cette page, vous pouvez obtenir une analyse détaillée d'un mot ou d'une phrase, réalisée à l'aide de la meilleure technologie d'intelligence artificielle à ce jour:

  • comment le mot est utilisé
  • fréquence d'utilisation
  • il est utilisé plus souvent dans le discours oral ou écrit
  • options de traduction de mots
  • exemples d'utilisation (plusieurs phrases avec traduction)
  • étymologie

Qu'est-ce (qui) est proof theory - définition


proof theory         
<logic> The branch of logic describing procedures for combining logical statements to show, by a series of truth-preserving transformations, that one statement is a consequence of some other statement or group of statements. (1994-10-31)
Proof theory         
Proof theory is a major branchAccording to Wang (1981), pp. 3–4, proof theory is one of four domains mathematical logic, together with model theory, axiomatic set theory, and recursion theory.
Structural proof theory         
SUBDISCIPLINE OF PROOF THEORY THAT STUDIES PROOF CALCULI THAT SUPPORT A NOTION OF ANALYTIC PROOF
Display logic; Structural proof theories
In mathematical logic, structural proof theory is the subdiscipline of proof theory that studies proof calculi that support a notion of analytic proof, a kind of proof whose semantic properties are exposed. When all the theorems of a logic formalised in a structural proof theory have analytic proofs, then the proof theory can be used to demonstrate such things as consistency, provide decision procedures, and allow mathematical or computational witnesses to be extracted as counterparts to theorems, the kind of task that is more often given to model theory.

Wikipédia

Proof theory
Proof theory is a major branchAccording to Wang (1981), pp. 3–4, proof theory is one of four domains mathematical logic, together with model theory, axiomatic set theory, and recursion theory.