Tag: formal systems

Reverse Mathematics

Reverse mathematics investigates the logical strength of mathematical theorems. It aims to…

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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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Ramified Theory of Types

An extension of the simple theory of types, the ramified theory introduces…

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Pure First-Order Logic

Pure first-order logic is a foundational system in logic, characterized by its…

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Provability Logic

Provability logic, a subset of modal logic, explores the formal properties of…

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Proof-Theoretic Consequence

Proof-theoretic consequence, also known as syntactic consequence, explores logical entailment based on…

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Proof Theory

Proof theory is a branch of mathematical logic focused on the structure…

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Primitive Recursive Relations

A primitive recursive relation is a type of relation definable using primitive…

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Primitive Recursive Functions Explained

Primitive recursive functions are a subset of computable functions defined using initial…

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