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Handbook of Model Checking pp 921–962Cite as

Graph Games and Reactive Synthesis

Abstract

Graph-based games are an important tool in computer science. They have applications in synthesis, verification, refinement, and far beyond. We review graph-based games with objectives on infinite plays. We give definitions and algorithms to solve the games and to give a winning strategy. The objectives we consider are mostly Boolean, but we also look at quantitative graph-based games and their objectives. Synthesis aims to turn temporal logic specifications into correct reactive systems. We explain the reduction of synthesis to graph-based games (or equivalently tree automata) using synthesis of LTL specifications as an example. We treat the classical approach that uses determinization of parity automata and more modern approaches.

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Authors and Affiliations

  1. Graz University of Technology, Graz, Austria

    Roderick Bloem

  2. IST Austria, Klosterneuburg, Austria

    Krishnendu Chatterjee

  3. École Polytechnique Fédérale de Lausanne, Lausanne, Switzerland

    Barbara Jobstmann

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  1. Roderick Bloem
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  1. FORE Systems University Professor of Computer Science, Carnegie Mellon University, Pittsburgh, Pennsylvania, USA

    Prof. Edmund M. Clarke

  2. Institute of Science and Technology Austria (IST), Klosterneuburg, Austria

    Prof. Thomas A. Henzinger

  3. Arbeitsbereich Formal Methods in Systems Engineering, Technische Universität Wien, Wien, Austria

    Prof. Dr. Helmut Veith

  4. Institut f. Angewandte Informationsverarbeitung und Kommunikationstechnologie (IAIK), Technische Universität Graz, Graz, Austria

    Prof. Roderick Bloem

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Bloem, R., Chatterjee, K., Jobstmann, B. (2018). Graph Games and Reactive Synthesis. In: Clarke, E., Henzinger, T., Veith, H., Bloem, R. (eds) Handbook of Model Checking. Springer, Cham. https://doi.org/10.1007/978-3-319-10575-8_27

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