Enumeration of monadic second-order queries on trees

Wojciech Kazana 1 Luc Segoufin 1
1 DAHU - Verification in databases
LSV - Laboratoire Spécification et Vérification [Cachan], ENS Cachan - École normale supérieure - Cachan, Inria Saclay - Ile de France, CNRS - Centre National de la Recherche Scientifique : UMR8643
Abstract : We consider the enumeration problem of monadic second-order (MSO) queries with first-order free variables over trees. Bagan showed ub 2006 that this problem is in CDlin. An enumeration problem belongs to CDlin if for an input structure of size n it can be solved by: * an O(n) precomputation phase building an index structure, * followed by a phase enumerating the answers with no repetition and a constant delay between two consecutive outputs. In this article we give a different proof of this result based on the deterministic factorization forest decomposition theorem of Colcombet.
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Wojciech Kazana, Luc Segoufin. Enumeration of monadic second-order queries on trees. ACM Transactions on Computational Logic, Association for Computing Machinery, 2013, 14 (4). ⟨hal-00916400⟩

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