Infinite trees and automaton-definable relations over &ohgr;-words
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Complexity of nonrecursive logic programs with complex values
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A decision procedure for term algebras with queues
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Integrating decision procedures for temporal verification
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Bounds on the automata size for Presburger arithmetic
ACM Transactions on Computational Logic (TOCL)
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Decision procedures for queues with integer constraints
FSTTCS '05 Proceedings of the 25th international conference on Foundations of Software Technology and Theoretical Computer Science
The complexity of one-agent refinement modal logic
JELIA'12 Proceedings of the 13th European conference on Logics in Artificial Intelligence
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IJCAI'13 Proceedings of the Twenty-Third international joint conference on Artificial Intelligence
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We prove an upper bound result for the first-order theory of a structure W of queues, i.e. words with two relations: addition of a letter on the left and on the right of a word. Using complexity-tailored Ehrenfeucht games we show that the witnesses for quantified variables in this theory can be bound by words of an exponential length. This result, together with a lower bound result for the first-order theory of two successors [6], proves that the first-order theory of W is complete in LATIME(2O(n)): the class of problems solvable by alternating Turing machines running in exponential time but only with a linear number of alternations.