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A complete first-order temporal logic of time with gaps

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Theoretical Computer Science 160 (1996) 241-270
(with Matthias Baaz and Alexander Leitsch)


The first-order temporal logics with ? and ? of time structures isomorphic to omega (discrete linear time) and trees of omega-segments (linear time with branching gaps) and some of its fragments are compared: The first is not recursively axiomatizable. For the second, a cut-free complete sequent calculus is given, and from this, a resolution system is derived by the method of Maslov.

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