Tag: proof

Truth-Tree: A Guide to Analytic Tableaux

Truth-trees, also known as analytic tableaux, are a method for testing logical…

Steven Haynes

Structural Rule in Logic

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

Steven Haynes

Semantic Tableau: A Tree-Based Proof Method in Logic

The semantic tableau method is a systematic proof technique in logic. It…

Steven Haynes

Relative Consistency Proof

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

Steven Haynes

Proof-Theoretic Validity

Proof-theoretic validity defines a valid proof within proof-theoretic semantics. It focuses on…

Steven Haynes

Proof-Theoretic Semantics

An alternative to truth-condition semantics, proof-theoretic semantics emphasizes the role of proof…

Steven Haynes

Proof-Theoretic Consequence

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

Steven Haynes

Proof Theory

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

Steven Haynes

Proof by Induction

Proof by induction is a powerful mathematical technique used to prove statements…

Steven Haynes

Proof by Cases

A method of mathematical proof where a statement is divided into several…

Steven Haynes