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Controller Synthesis for Parametric Timed Games

Published: June 18, 2025 | arXiv ID: 2506.15532v1

By: Mikael Bisgaard Dahlsen-Jensen , Baptiste Fievet , Laure Petrucci and more

Potential Business Impact:

Finds winning moves in complex games with changing rules.

We present a (semi)-algorithm to compute winning strategies for parametric timed games. Previous algorithms only synthesized constraints on the clock parameters for which the game is winning. A new definition of (winning) strategies is proposed, and ways to compute them. A transformation of these strategies to (parametric) timed automata allows for building a controller enforcing them. The feasibility of the method is demonstrated by an implementation and experiments for the Production Cell case study.

Country of Origin
🇩🇰 🇫🇷 Denmark, France

Page Count
29 pages

Category
Computer Science:
Formal Languages and Automata Theory