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Structural rule

In the logical discipline of proof theory, a structural rule is an inference rule of a sequent calculus that does not refer to any logical connective but instead operates on the sequents directly. Structural rules often mimic the intended meta-theoretic properties of the logic. Logics that deny one or more of the structural rules are classified as…

Common structural rules & Overview

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Overview

Common structural rules

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Map overview Semantic statistics

Structural rule

Nodes23
Edges22
Triples12
Avg. degree1.91
Density0.086957
Components1

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Structural rule

Top relations

related to Common structural rules · 11
Structural rule → Also, Contraction, Exchange, Gamma, In, Known, Sigma, Symbolically, This, Three, Weakening
is a · 1
Structural rule → inference rule of a sequent calculus that does not refer to any logical connective but instead operates on the sequents directly

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Important terminology

rules structural logic known cut sequent rule common also may members displaystyle frac gamma vdash sigma proof directly often logics

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Structural ruleis ainference rule of a sequent calculus that does not refer to any logical connective but instead operates on the sequents directly0.90text
Structural rulerelated to Common structural rulesThree0.60section
Structural rulerelated to Common structural rulesWeakening0.60section
Structural rulerelated to Common structural rulesIn0.60section
Structural rulerelated to Common structural rulesGamma0.60section
Structural rulerelated to Common structural rulesSigma0.60section
Structural rulerelated to Common structural rulesKnown0.60section
Structural rulerelated to Common structural rulesContraction0.60section
Structural rulerelated to Common structural rulesSymbolically0.60section
Structural rulerelated to Common structural rulesAlso0.60section
Structural rulerelated to Common structural rulesExchange0.60section
Structural rulerelated to Common structural rulesThis0.60section

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