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Reachability Games on Extended Vector Addition Systems with States

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abstract

We consider two-player turn-based games with zero-reachability and zero-safety objectives generated by extended vector addition systems with states. Although the problem of deciding the winner in such games is undecidable in general, we identify several decidable and even tractable subcases of this problem obtained by restricting the number of counters and/or the sets of target configurations.

fields

cs.GT 1

years

2019 1

verdicts

UNVERDICTED 1

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Energy mean-payoff games

cs.GT · 2019-07-02 · unverdicted · novelty 6.0

Energy mean-payoff games have protagonist strategies that may require infinite memory (antagonist needs none), with polynomial-time decidability in the one-player case and co-NP membership plus explicit constructions in the two-player case.

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  • Energy mean-payoff games cs.GT · 2019-07-02 · unverdicted · none · ref 6 · internal anchor

    Energy mean-payoff games have protagonist strategies that may require infinite memory (antagonist needs none), with polynomial-time decidability in the one-player case and co-NP membership plus explicit constructions in the two-player case.