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Model Checking Probabilistic Pushdown Automata

Javier Esparza ; Antonin Kucera ; Richard Mayr.

We consider the model checking problem for probabilistic pushdown automata (pPDA) and properties expressible in various probabilistic logics. We start with properties that can be formulated as instances of a generalized random walk problem. We prove that both qualitative and quantitative model&nbsp;[&hellip;]

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Stochastic Parity Games on Lossy Channel Systems

Parosh Aziz Abdulla ; Lorenzo Clemente ; Richard Mayr ; Sven Sandberg.

We give an algorithm for solving stochastic parity games with almost-sure winning conditions on {\it lossy channel systems}, under the constraint that both players are restricted to finite-memory strategies. First, we describe a general framework, where we consider the class of 2 1/2-player games&nbsp;[&hellip;]

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Priced Timed Petri Nets

Richard M. Mayr ; Parosh Aziz Abdulla.

We consider priced timed Petri nets, i.e., unbounded Petri nets where each token carries a real-valued clock. Transition arcs are labeled with time intervals, which specify constraints on the ages of tokens. Furthermore, our cost model assigns token storage costs per time unit to places, and firing&nbsp;[&hellip;]

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Simulation Problems Over One-Counter Nets

Piotr Hofman ; Slawomir Lasota ; Richard Mayr ; Patrick Totzke.

One-counter nets (OCN) are finite automata equipped with a counter that can store non-negative integer values, and that cannot be tested for zero. Equivalently, these are exactly 1-dimensional vector addition systems with states. We show that both strong and weak simulation preorder on OCN are&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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Model Checking Flat Freeze LTL on One-Counter Automata

Antonia Lechner ; Richard Mayr ; Joël Ouaknine ; Amaury Pouly ; James Worrell.

Freeze LTL is a temporal logic with registers that is suitable for specifying properties of data words. In this paper we study the model checking problem for Freeze LTL on one-counter automata. This problem is known to be undecidable in general and PSPACE-complete for the special case of&nbsp;[&hellip;]

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