Simplicity Lies in the Eye of the Beholder: A Strategic Perspective on Controllers in Reactive Synthesis
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arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866909770564239360 |
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| author | Randour, Mickael |
| author_facet | Randour, Mickael |
| contents | In the game-theoretic approach to controller synthesis, we model the interaction between a system to be controlled and its environment as a game between these entities, and we seek an appropriate (e.g., winning or optimal) strategy for the system. This strategy then serves as a formal blueprint for a real-world controller. A common belief is that simple (e.g., using limited memory) strategies are better: corresponding controllers are easier to conceive and understand, and cheaper to produce and maintain.
This invited contribution focuses on the complexity of strategies in a variety of synthesis contexts. We discuss recent results concerning memory and randomness, and take a brief look at what lies beyond our traditional notions of complexity for strategies. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_04129 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Simplicity Lies in the Eye of the Beholder: A Strategic Perspective on Controllers in Reactive Synthesis Randour, Mickael Logic in Computer Science Artificial Intelligence Formal Languages and Automata Theory Probability In the game-theoretic approach to controller synthesis, we model the interaction between a system to be controlled and its environment as a game between these entities, and we seek an appropriate (e.g., winning or optimal) strategy for the system. This strategy then serves as a formal blueprint for a real-world controller. A common belief is that simple (e.g., using limited memory) strategies are better: corresponding controllers are easier to conceive and understand, and cheaper to produce and maintain. This invited contribution focuses on the complexity of strategies in a variety of synthesis contexts. We discuss recent results concerning memory and randomness, and take a brief look at what lies beyond our traditional notions of complexity for strategies. |
| title | Simplicity Lies in the Eye of the Beholder: A Strategic Perspective on Controllers in Reactive Synthesis |
| topic | Logic in Computer Science Artificial Intelligence Formal Languages and Automata Theory Probability |
| url | https://arxiv.org/abs/2509.04129 |