Alternating Vector Addition Systems with States

Jean-Baptiste Courtois 1 Sylvain Schmitz 1, 2, *
* Corresponding author
2 DAHU - Verification in databases
CNRS - Centre National de la Recherche Scientifique : UMR8643, Inria Saclay - Ile de France, ENS Cachan - École normale supérieure - Cachan, LSV - Laboratoire Spécification et Vérification [Cachan]
Abstract : Alternating vector addition systems are obtained by equipping vector addition systems with states (VASS) with 'fork' rules, and provide a natural setting for infinite-arena games played over a VASS. Initially introduced in the study of propositional linear logic, they have more recently gathered attention in the guise of multi-dimensional energy games for quantitative verification and synthesis. We show that establishing who is the winner in such a game with a state reachability objective is 2-ExpTime-complete. As a further application, we show that the same complexity result applies to the problem of whether a VASS is simulated by a finite-state system.
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https://hal.inria.fr/hal-00980878
Contributor : Sylvain Schmitz <>
Submitted on : Tuesday, April 22, 2014 - 9:19:05 AM
Last modification on : Tuesday, February 5, 2019 - 1:46:02 PM
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Jean-Baptiste Courtois, Sylvain Schmitz. Alternating Vector Addition Systems with States. 2014. ⟨hal-00980878v1⟩

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