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Trémaux tree
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is a planar graph. A characterization of Trémaux trees in the monadic second-order logic of graphs allows graph properties involving orientations to beMatching polynomial (882 words) [view diff] exact match in snippet view article find links to article
parameter complexity of graph enumeration problems definable in monadic second-order logic" (PDF), Discrete Applied Mathematics, 108 (1–2): 23–52, doi:10Hosoya index (894 words) [view diff] exact match in snippet view article find links to article
parameter complexity of graph enumeration problems definable in monadic second-order logic" (PDF), Discrete Applied Mathematics, 108 (1–2): 23–52, doi:10K-outerplanar graph (564 words) [view diff] exact match in snippet view article find links to article
bounded treewidth by finite state tree automata is definable in the monadic second-order logic of graphs, has been proven for the k {\displaystyle k} -outerplanarOperator-precedence grammar (1,283 words) [view diff] exact match in snippet view article find links to article
characterizations based on an equivalent form of automata and monadic second-order logic. Aho, Sethi & Ullman 1988, p. 203 Aho, Sethi & Ullman 1988, ppBramble (graph theory) (955 words) [view diff] exact match in snippet view article
brambles, grid-like minors, and parameterized intractability of monadic second-order logic", Proceedings of the Twenty-First Annual ACM-SIAM Symposium onInternational Conference on Concurrency Theory (954 words) [view diff] no match in snippet view article find links to article
Completeness of the Propositional mu-Calculus with Respect to Monadic Second Order Logic." (CONCUR 1996) Roberto Segala & Nancy Lynch: "Probabilistic SimulationsTransversal (combinatorics) (1,655 words) [view diff] case mismatch in snippet view article
Bruno Courcelle; Joost Engelfriet (2012). Graph Structure and Monadic Second-Order Logic: A Language-Theoretic Approach. Cambridge University Press. pGeorge Boolos (2,185 words) [view diff] exact match in snippet view article find links to article
Boolos argued that if one reads the second-order variables in monadic second-order logic plurally, then second-order logic can be interpreted as havingCograph (2,689 words) [view diff] exact match in snippet view article find links to article
Courcelle's theorem may be used to test any property in the monadic second-order logic of graphs (MSO1) on cographs in linear time. The problem of testingNested word (3,063 words) [view diff] exact match in snippet view article find links to article
over nested words are exactly the set of languages described by monadic second-order logic with two unary predicates call and return, linear successor andRegular numerical predicate (2,190 words) [view diff] no match in snippet view article find links to article
{\displaystyle P} are regular. The same property would hold for the monadic second order logic, and with modular quantifiers. The following property allows toCyclic order (6,392 words) [view diff] case mismatch in snippet view article find links to article
Courcelle, Bruno; Engelfriet, Joost (April 2011), Graph Structure and Monadic Second-Order Logic, a Language Theoretic Approach (PDF), Cambridge University Press