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Tight Game Abstractions of Probabilistic Automata

  • Conference paper
CONCUR 2014 – Concurrency Theory (CONCUR 2014)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 8704))

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Abstract

We present a new game-based abstraction technique for probabilistic automata (PA). The key idea is to use distribution-based abstraction – preserving novel distribution-based (alternating) simulation relations – rather than classical state-based abstraction. These abstractions yield (simple) probabilistic game automata (PGA), turn-based 2 player stochastic games in which moves of both players – as opposed to classical stochastic games – yield distributions over states. As distribution-based (alternating) simulation relations are pre-congruences for composite PGA, abstraction can be done compositionally. Our abstraction yields tighter upper and lower bounds on (extremal) reachability probabilities than state-based abstraction. This shows the potential superiority over state-based abstraction of PA and Markov decision processes.

This research is supported by the EU FP7 SENSATION Project and the EU Marie-Curie Project MEALS.

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Author information

Authors and Affiliations

  1. Software Modeling and Verification, RWTH Aachen University, D-52056, Aachen, Germany

    Falak Sher Vira & Joost-Pieter Katoen

Authors
  1. Falak Sher Vira
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  2. Joost-Pieter Katoen
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Editor information

Editors and Affiliations

  1. Department of Mathematics, University of Padova, Via Trieste, 63, 35121, Padova, Italy

    Paolo Baldan

  2. Department of Computer Science, University of Roma “La Sapienza”, Via Salaria, 113, 00198, Rome, Italy

    Daniele Gorla

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Vira, F.S., Katoen, JP. (2014). Tight Game Abstractions of Probabilistic Automata. In: Baldan, P., Gorla, D. (eds) CONCUR 2014 – Concurrency Theory. CONCUR 2014. Lecture Notes in Computer Science, vol 8704. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-44584-6_39

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  • DOI: https://doi.org/10.1007/978-3-662-44584-6_39

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-662-44583-9

  • Online ISBN: 978-3-662-44584-6

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