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Proving a conjecture of Andreka on temporal logic

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1999-3-004
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Citation

Raskin, J.-F.(1999). Proving a conjecture of Andreka on temporal logic (MPI-I-1999-3-004). Saarbrücken: Max-Planck-Institut für Informatik.


Cite as: http://hdl.handle.net/11858/00-001M-0000-0014-6F41-8
Abstract
In \cite{Andreka}, a large number of completeness results about variants of discrete linear-time temporal logic are obtained. One of them is left as an open problem: the completeness of the logic of initially and next, for which a deductive system is proposed. This simple logic is of practical importance, since the proof of program invariants only require these modalities. We show here that the conjectured {\em medium completeness} of this system indeed holds; further, we show that deciding this entailment is PSPACE-complete, while deciding validity is only coNP-complete.