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Journal Articles Information and Computation Year : 2022

Reachability games with relaxed energy constraints

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Abstract

We study games with reachability objectives under energy constraints. We first prove that under strict energy constraints (either only lower-bound constraint or interval constraint), those games are LOGSPACE-equivalent to energy games with the same energy constraints but without reachability objective (i.e., for infinite runs). We then consider two relaxations of the upper-bound constraints (while keeping the lower-bound constraint strict): in the first one, called weak upper bound, the upper bound is absorbing, i.e., when the upper bound is reached, the extra energy is not stored; in the second one, we~allow for temporary violations of the upper bound, imposing limits on the number or on the amount of violations.
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Dates and versions

hal-03482420 , version 1 (15-12-2021)

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Loïc Hélouët, Nicolas Markey, Ritam Raha. Reachability games with relaxed energy constraints. Information and Computation, 2022, 285B, ⟨10.1016/j.ic.2021.104806⟩. ⟨hal-03482420⟩
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