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Solving Mean-Payoff Games via Quasi Dominions

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  • First Online: 17 April 2020
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Tools and Algorithms for the Construction and Analysis of Systems (TACAS 2020)
Solving Mean-Payoff Games via Quasi Dominions
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  • Massimo Benerecetti  ORCID: orcid.org/0000-0003-4664-606110,
  • Daniele Dell’Erba  ORCID: orcid.org/0000-0003-1196-611010 &
  • Fabio Mogavero  ORCID: orcid.org/0000-0002-5140-578310 

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 12079))

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  • International Conference on Tools and Algorithms for the Construction and Analysis of Systems
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  • 5 Citations

Abstract

We propose a novel algorithm for the solution of mean-payoff games that merges together two seemingly unrelated concepts introduced in the context of parity games, small progress measures and quasi dominions. We show that the integration of the two notions can be highly beneficial and significantly speeds up convergence to the problem solution. Experiments show that the resulting algorithm performs orders of magnitude better than the asymptotically-best solution algorithm currently known, without sacrificing on the worst-case complexity.

Partially supported by GNCS 2019 & 2020 projects “Metodi Formali per Tecniche di Verifica Combinata” and “Ragionamento Strategico e Sintesi Automatica di Sistemi Multi-Agente”.

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Authors and Affiliations

  1. Università degli Studi di Napoli Federico II, Naples, Italy

    Massimo Benerecetti, Daniele Dell’Erba & Fabio Mogavero

Authors
  1. Massimo Benerecetti
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  2. Daniele Dell’Erba
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  3. Fabio Mogavero
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Corresponding author

Correspondence to Fabio Mogavero .

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Editors and Affiliations

  1. Johannes Kepler University, Linz, Austria

    Armin Biere

  2. University of Birmingham, Birmingham, UK

    David Parker

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Benerecetti, M., Dell’Erba, D., Mogavero, F. (2020). Solving Mean-Payoff Games via Quasi Dominions. In: Biere, A., Parker, D. (eds) Tools and Algorithms for the Construction and Analysis of Systems. TACAS 2020. Lecture Notes in Computer Science(), vol 12079. Springer, Cham. https://doi.org/10.1007/978-3-030-45237-7_18

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  • DOI: https://doi.org/10.1007/978-3-030-45237-7_18

  • Published: 17 April 2020

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  • Print ISBN: 978-3-030-45236-0

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