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Synthesizing Optimally Resilient Controllers

Authors Daniel Neider, Alexander Weinert, Martin Zimmermann



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Author Details

Daniel Neider
  • Max Planck Institute for Software Systems, 67663 Kaiserslautern, Germany
Alexander Weinert
  • Reactive Systems Group, Saarland University, 66123 Saarbrücken, Germany
Martin Zimmermann
  • Reactive Systems Group, Saarland University, 66123 Saarbrücken, Germany

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Daniel Neider, Alexander Weinert, and Martin Zimmermann. Synthesizing Optimally Resilient Controllers. In 27th EACSL Annual Conference on Computer Science Logic (CSL 2018). Leibniz International Proceedings in Informatics (LIPIcs), Volume 119, pp. 34:1-34:17, Schloss Dagstuhl - Leibniz-Zentrum für Informatik (2018)
https://doi.org/10.4230/LIPIcs.CSL.2018.34

Abstract

Recently, Dallal, Neider, and Tabuada studied a generalization of the classical game-theoretic model used in program synthesis, which additionally accounts for unmodeled intermittent disturbances. In this extended framework, one is interested in computing optimally resilient strategies, i.e., strategies that are resilient against as many disturbances as possible. Dallal, Neider, and Tabuada showed how to compute such strategies for safety specifications. In this work, we compute optimally resilient strategies for a much wider range of winning conditions and show that they do not require more memory than winning strategies in the classical model. Our algorithms only have a polynomial overhead in comparison to the ones computing winning strategies. In particular, for parity conditions optimally resilient strategies are positional and can be computed in quasipolynomial time.

Subject Classification

ACM Subject Classification
  • Theory of computation → Automata over infinite objects
Keywords
  • Controller Synthesis
  • Infinite Games
  • Resilient Strategies
  • Disturbances

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