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The Complexity of Flat Freeze LTL

Benedikt Bollig ; Karin Quaas ; Arnaud Sangnier.

We consider the model-checking problem for freeze LTL on one-counter automata (OCA). Freeze LTL extends LTL with the freeze quantifier, which allows one to store different counter values of a run in registers so that they can be compared with one another. As the model-checking problem is undecidable&nbsp;[&hellip;]

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Propositional Dynamic Logic for Message-Passing Systems

Benedikt Bollig ; Dietrich Kuske ; Ingmar Meinecke.

We examine a bidirectional propositional dynamic logic (PDL) for finite and infinite message sequence charts (MSCs) extending LTL and TLC-. By this kind of multi-modal logic we can express properties both in the entire future and in the past of an event. Path expressions strengthen the classical&nbsp;[&hellip;]

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On the Expressive Power of 2-Stack Visibly Pushdown Automata

Benedikt Bollig.

Visibly pushdown automata are input-driven pushdown automata that recognize some non-regular context-free languages while preserving the nice closure and decidability properties of finite automata. Visibly pushdown automata with multiple stacks have been considered recently by La Torre, Madhusudan,&nbsp;[&hellip;]

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