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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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Strategy Complexity of Point Payoff, Mean Payoff and Total Payoff Objectives in Countable MDPs

Richard Mayr ; Eric Munday.

We study countably infinite Markov decision processes (MDPs) with real-valued transition rewards. Every infinite run induces the following sequences of payoffs: 1. Point payoff (the sequence of directly seen transition rewards), 2. Mean payoff (the sequence of the sums of all rewards so far, divided&nbsp;[&hellip;]

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