Tag: proof theory

Substitution Instance in Logic

A substitution instance is the result of replacing variables in a well-formed…

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Subformula in Logic

A subformula is a constituent part of a larger logical formula, sharing…

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Structural Rule in Logic

A structural rule in logic, particularly proof theory, governs the manipulation of…

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Strong Counterexample in Intuitionistic Logic

A strong counterexample in intuitionistic logic disproves an instance of the law…

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Soundness in Logic

Soundness ensures that a logical system's derived theorems are always true under…

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Single Turnstile Symbol in Logic

The single turnstile (⊢) symbol in logic signifies syntactic entailment. It indicates…

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Sequent Calculus: A Formal System for Logical Deduction

Sequent calculus is a formal system for logical entailments, representing deductions as…

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Sequent Calculus: A Formal System for Logical Deduction

Sequent calculus is a formal system representing logical deductions. It uses sequences…

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Rule of Replacement in Formal Logic

A fundamental principle in formal logic that permits substituting logically equivalent expressions…

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Reverse Mathematics

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

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