Tag: computability

Formal Language

A formal language is a set of strings over an alphabet, defined…

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Turing Thesis

The Turing thesis, also known as the Church-Turing thesis, posits that any…

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Turing Computable Function

A function computable by a Turing machine, representing the theoretical limit of…

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Total Function

A total function is a mathematical function that is defined for every…

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The Successor Function in Arithmetic and Logic

The successor function, denoted S(n) = n + 1, is a foundational…

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Strong Completeness in Logic

Strong completeness in logic means that if a formula is true in…

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Semi-Decidable Theory

A semi-decidable theory allows for an algorithm to list all its theorems.…

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Relative Consistency Proof

A relative consistency proof demonstrates that if a system S is consistent,…

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Recursively Axiomatizable Theory

A theory with a recursive set of axioms that can derive all…

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Provability Predicate

A provability predicate, often denoted as 'Bew', is a fundamental concept in…

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