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Free keywords:
Computer Science, Computer Science and Game Theory, cs.GT
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.
