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7 results

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;]
Published on November 8, 2007

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;]
Published on January 5, 2015

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;]
Published on February 7, 2007

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;]
Published on March 7, 2006

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;]
Published on March 14, 2016

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;]
Published on December 7, 2018

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;]
Published on February 13, 2019

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