The Complexity of LTL Rational Synthesis

Author:

Kupferman Orna,Shenwald Noam

Abstract

AbstractInrational synthesis, we automatically construct a reactive system that satisfies its specification in all rational environments, namely environments that have objectives and act to fulfill them. We complete the study of the complexity of LTL rational synthesis. Our contribution is threefold. First, we tighten the known upper bounds for settings that were left open in earlier work. Second, our complexity analysis is parametric, and we describe tight upper and lower bounds in each of the problem parameters: the game graph, the objectives of the system components, and the objectives of the environment components. Third, we generalize the definition of rational synthesis, combining the cooperative and non-cooperative approaches studied in earlier work, and extend our complexity analysis to the general definition.

Publisher

Springer International Publishing

Cited by 6 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Stackelberg-Pareto Synthesis;ACM Transactions on Computational Logic;2024-04-16

2. Most General Winning Secure Equilibria Synthesis in Graph Games;Lecture Notes in Computer Science;2024

3. Timed network games;Information and Computation;2023-01

4. Quantitative Reachability Stackelberg-Pareto Synthesis Is NEXPTIME-Complete;Lecture Notes in Computer Science;2023

5. Careful Autonomous Agents in Environments With Multiple Common Resources;Electronic Proceedings in Theoretical Computer Science;2022-07-20

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