Reactive Synthesis from Extended Bounded Response LTL Specifications

Alessandro Cimatti; Luca Geatti; Nicola Gigante; Angelo Montanari; Stefano Tonetta

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arXiv · 2008.05335

Reactive Synthesis from Extended Bounded Response LTL Specifications

Alessandro Cimatti·Luca Geatti·Nicola Gigante·Angelo Montanari·Stefano Tonetta

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Abstract

Reactive synthesis is a key technique for the design of correct-by-construction systems and has been thoroughly investigated in the last decades. It consists in the synthesis of a controller that reacts to environment's inputs satisfying a given temporal logic specification. Common approaches are based on the explicit construction of automata and on their determinization, which limit their scalability. In this paper, we introduce a new fragment of Linear Temporal Logic, called Extended Bounded Response LTL (\LTLEBR), that allows one to combine bounded and universal unbounded temporal operators (thus covering a large set of practical cases), and we show that reactive synthesis from \LTLEBR specifications can be reduced to solving a safety game over a deterministic symbolic automaton built directly from the specification. We prove the correctness of the proposed approach and we successfully evaluate it on various benchmarks.

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Alessandro Cimatti, Luca Geatti, Nicola Gigante, Angelo Montanari, Stefano Tonetta. 2020-08-12. Reactive Synthesis from Extended Bounded Response LTL Specifications. https://arxiv.org/abs/2008.05335

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