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arXiv · 2509.24616

LTL$_f$ Learning Meets Boolean Set Cover

Gabriel Bathie·Nathanaël Fijalkow·Théo Matricon·Baptiste Mouillon·Pierre Vandenhove
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Abstract

Learning formulas in Linear Temporal Logic (LTLf) from finite traces is a fundamental research problem which has found applications in artificial intelligence, software engineering, programming languages, formal methods, control of cyber-physical systems, and robotics. We implement a new CPU tool called Bolt improving over the state of the art by learning formulas more than 100x faster over 70% of the benchmarks, with smaller or equal formulas in 98% of the cases. Our key insight is to leverage a problem called Boolean Set Cover as a subroutine to combine existing formulas using Boolean connectives. Thanks to the Boolean Set Cover component, our approach offers a novel trade-off between efficiency and formula size.

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Gabriel Bathie, Nathanaël Fijalkow, Théo Matricon, Baptiste Mouillon, Pierre Vandenhove. 2025-09-29. LTL$_f$ Learning Meets Boolean Set Cover. https://arxiv.org/abs/2509.24616

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