English

Constructive Hybrid Games

Logic in Computer Science 2022-10-07 v1

Abstract

Hybrid games are models which combine discrete, continuous, and adversarial dynamics. Game logic enables proving (classical) existence of winning strategies. We introduce constructive differential game logic (CdGL) for hybrid games, where proofs that a player can win the game correspond to computable winning strategies. This is the logical foundation for synthesis of correct control and monitoring code for safety-critical cyber-physical systems. Our contributions include novel static and dynamic semantics as well as soundness and consistency.

Keywords

Cite

@article{arxiv.2002.02536,
  title  = {Constructive Hybrid Games},
  author = {Rose Bohrer and André Platzer},
  journal= {arXiv preprint arXiv:2002.02536},
  year   = {2022}
}

Comments

60 pages, preprint, under review