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Decisive Markov Chains

Parosh Aziz Abdulla ; Noomene Ben Henda ; Richard Mayr.

We consider qualitative and quantitative verification problems for infinite-state Markov chains. We call a Markov chain decisive w.r.t. a given set of target states F if it almost certainly eventually reaches either F or a state from which F can no longer be reached. While all finite Markov chains&nbsp;[&hellip;]

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Dense-Timed Petri Nets: Checking Zenoness, Token liveness and Boundedness

Parosh Abdulla ; Pritha Mahata ; Richard Mayr.

We consider Dense-Timed Petri Nets (TPN), an extension of Petri nets in which each token is equipped with a real-valued clock and where the semantics is lazy (i.e., enabled transitions need not fire; time can pass and disable transitions). We consider the following verification problems for TPNs.&nbsp;[&hellip;]

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Efficient reduction of nondeterministic automata with application to language inclusion testing

Lorenzo Clemente ; Richard Mayr.

We present efficient algorithms to reduce the size of nondeterministic B\"uchi word automata (NBA) and nondeterministic finite word automata (NFA), while retaining their languages. Additionally, we describe methods to solve PSPACE-complete automata problems like language universality, equivalence,&nbsp;[&hellip;]

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