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arXiv · 1706.08608

Model-checking Counting Temporal Logics on Flat Structures

Normann Decker·Peter Habermehl·Martin Leucker·Arnaud Sangnier·Daniel Thoma
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Abstract

We study several extensions of linear-time and computation-tree temporal logics with quantifiers that allow for counting how often certain properties hold. For most of these extensions, the model-checking problem is undecidable, but we show that decidability can be recovered by considering flat Kripke structures where each state belongs to at most one simple loop. Most decision procedures are based on results on (flat) counter systems where counters are used to implement the evaluation of counting operators.

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Normann Decker, Peter Habermehl, Martin Leucker, Arnaud Sangnier, Daniel Thoma. 2017-06-26. Model-checking Counting Temporal Logics on Flat Structures. https://arxiv.org/abs/1706.08608

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