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O que (quem) é proof theory - definição
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.
