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Monadic second-order logic

In mathematical logic, monadic second-order logic (MSO) is the fragment of second-order logic where the second-order quantification is limited to quantification over sets. It is particularly important in the logic of graphs, because of Courcelle's theorem, which provides algorithms for evaluating monadic second-order formulas over graphs of bounded…

Art, Computational complexity of evaluation & Decidability and complexity of satisfiability

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Computational complexity of evaluation

Existential quantifiersFagin's theoremDescriptive complexityNPDisconnected
12 related topics

Decidability and complexity of satisfiability

First-order logicBinary treeS2SDecidableEmptiness problem
11 related topics

Overview

Mathematical logicSecond-order logicLogic of graphsCourcelle's theoremTreewidth
11 related topics

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Computational complexity of evaluation

Decidability and complexity of satisfiability

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Monadic second-order logic

Nodes38
Edges37
Triples26
Avg. degree1.95
Density0.052632
Components1

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Monadic second-order logic

Top relations

related to Computational complexity of evaluation · 11
Monadic second-order logic → By, EMSO, ESO, Existential, Fagin's, In, MNP, MSO, NP, That, The
related to Variants · 6
Monadic second-order logic → Büchi, Courcelle's, Elgot, In, Monadic, Trakhtenbrot
related to Decidability and complexity of satisfiability · 3
Monadic second-order logic → As, S2S, The
related to Use of satisfiability of MSO on trees in verification · 3
Monadic second-order logic → Decision, Monadic, MSO

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Important terminology

monadic second-order logic mso quantification complexity theorem predicates theory np formula problem sets also fragment ws1s predicate treewidth mnp whether

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
graphsinstance ofIn the variant considered over structures0.80text
in Courcelle's theoreminstance ofIn the variant considered over structures0.80text
the formula may involve non-monadic predicate constantsinstance ofIn the variant considered over structures0.80text
Monadic second-order logicrelated to Computational complexity of evaluationExistential0.60section
Monadic second-order logicrelated to Computational complexity of evaluationEMSO0.60section
Monadic second-order logicrelated to Computational complexity of evaluationMSO0.60section
Monadic second-order logicrelated to Computational complexity of evaluationThe0.60section
Monadic second-order logicrelated to Computational complexity of evaluationThat0.60section
Monadic second-order logicrelated to Computational complexity of evaluationFagin's0.60section
Monadic second-order logicrelated to Computational complexity of evaluationESO0.60section
Monadic second-order logicrelated to Computational complexity of evaluationNP0.60section
Monadic second-order logicrelated to Computational complexity of evaluationBy0.60section

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