Symbolic Fixpoint Algorithms for Logical LTL Games

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...

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Bibliographic Details
Published in:IEEE/ACM International Conference on Automated Software Engineering : [proceedings] pp. 698 - 709
Main Authors: Samuel, Stanly, D'Souza, Deepak, Komondoor, Raghavan
Format: Conference Proceeding
Language:English
Published: IEEE 11.09.2023
Subjects:
Benchmark testing
Games
Maintenance engineering
program repair
program synthesis
reactive synthesis
Safety
Software algorithms
symbolic algorithms
Synchronization
Task analysis
two-player games
ISSN:2643-1572
Online Access:Get full text
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Summary: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.
ISSN:2643-1572
DOI:10.1109/ASE56229.2023.00212