Download PDFOpen PDF in browserTwo-variable First-Order Logic with Counting in Forests19 pages•Published: October 23, 2018AbstractWe consider an extension of two-variable, first-order logic with counting quantifiers and arbitrarily many unary and binary predicates, in which one distinguished predicate is interpreted as the mother-daughter relation in an unranked forest. We show that both the finite satisfiability and the general satisfiability problems for the extended logic are decidable in NExpTime. We also show that the decision procedure for finite satisfiability can be extended to the logic where two distinguished predicates are interpreted as the mother-daughter relations in two independent forests.Keyphrases: decision procedures, finite satisfiability, general satisfiability, logic and computational complexity, two variable logic with counting quantifiers, unranked trees/forests In: Gilles Barthe, Geoff Sutcliffe and Margus Veanes (editors). LPAR-22. 22nd International Conference on Logic for Programming, Artificial Intelligence and Reasoning, vol 57, pages 214-232.
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