Canonical Representations for Direct Generation of Strategies in High-level Petri Games (Full Version)

Manuel Gieseking; Nick Würdemann

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arXiv · 2103.10207

Canonical Representations for Direct Generation of Strategies in High-level Petri Games (Full Version)

Manuel Gieseking·Nick Würdemann

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Abstract

Petri games are a multi-player game model for the synthesis problem in distributed systems, i.e., the automatic generation of local controllers. The model represents causal memory of the players, which are tokens on a Petri net and divided into two teams: the controllable system and the uncontrollable environment. For one environment player and a bounded number of system players, the problem of solving Petri games can be reduced to that of solving B\"uchi games. High-level Petri games are a concise representation of ordinary Petri games. Symmetries, derived from a high-level representation, can be exploited to significantly reduce the state space in the corresponding B\"uchi game. We present a new construction for solving high-level Petri games. It involves the definition of a unique, canonical representation of the reduced B\"uchi game. This allows us to translate a strategy in the B\"uchi game directly into a strategy in the Petri game. An implementation applied on six structurally different benchmark families shows in most cases a performance increase for larger state spaces.

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BibTeX RIS

Manuel Gieseking, Nick Würdemann. 2021-03-18. Canonical Representations for Direct Generation of Strategies in High-level Petri Games (Full Version). https://arxiv.org/abs/2103.10207

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