Symbolic Fixpoint Algorithms for Logical LTL Games

Samuel, S and D'Souza, D and Komondoor, R (2023) Symbolic Fixpoint Algorithms for Logical LTL Games. In: 38th IEEE/ACM International Conference on Automated Software Engineering, ASE 2023, 11 - 15 September 2023, Echternach, pp. 698-709.

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Abstract

Two-player games are a fruitful way to represent and reason about several important synthesis tasks. These tasks include controller synthesis (where one asks for a controller for a given plant such that the controlled plant satisfies a given temporal specification), program repair (setting values of variables to avoid exceptions), and synchronization synthesis (adding lock/unlock statements in multi-threaded programs to satisfy safety assertions). In all these applications, a solution directly corresponds to a winning strategy for one of the players in the induced game. In turn, logically-specified games offer a powerful way to model these tasks for large or infinite-state systems. Much of the techniques proposed for solving such games typically rely on abstraction-refinement or template-based solutions. In this paper, we show how to apply classical fixpoint algorithms, that have hitherto been used in explicit, finite-state, settings, to a symbolic logical setting. We implement our techniques in a tool called GENSys-LTL and show that they are not only effective in synthesizing valid controllers for a variety of challenging benchmarks from the literature, but often compute maximal winning regions and maximally-permissive controllers. We achieve 46.38X speed-up over the state of the art and also scale well for non-trivial LTL specifications. © 2023 IEEE.

Item Type:	Conference Paper
Publication:	Proceedings - 2023 38th IEEE/ACM International Conference on Automated Software Engineering, ASE 2023
Publisher:	Institute of Electrical and Electronics Engineers Inc.
Additional Information:	The copyright for this article belongs to Institute of Electrical and Electronics Engineers Inc.
Keywords:	Game theory; Model checking; Repair; Specifications, Controller synthesis; Fix-point algorithms; LTL games; Program repair; Program synthesis; Reactive synthesis; Setting values; Symbolic algorithms; Temporal specification; Two-player games, Controllers
Department/Centre:	Division of Electrical Sciences > Computer Science & Automation
Date Deposited:	29 Feb 2024 06:10
Last Modified:	29 Feb 2024 06:10
URI:	https://eprints.iisc.ac.in/id/eprint/83765

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