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This work was funded in part by PRODIGY Project (TED2021-132464BI00)-funded by MCIN/AEI/10.13039/501100011033/and the European Union NextGenerationEU/PRTR-by the DECO Project (PID2022-138072OB-I00)-funded by MCIN/AEI/10.13039/501100011033 and by the ESF, as well as by a research grant from Nomadic Labs and the Tezos Foundation.

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Predictable and Performant Reactive Synthesis Modulo Theories via Functional Synthesis

Publicat a:Lecture Notes In Computer Science. 15055 28-50 - 2025-01-01 15055(), DOI: 10.1007/978-3-031-78750-8_2

Autors: Rodriguez, Andoni; Gorostiaga, Felipe; Sanchez, Cesar

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Reactive synthesis is the process of generating correct controllers from temporal logic specifications. Classical LTL reactive synthesis handles (propositional) LTL as a specification language. Boolean abstractions allow reducing LTLT specifications (i.e., LTL with propositions replaced by literals from a theory T), into equi-realizable LTL specifications. In this paper we extend these results into a full static synthesis procedure. The synthesized system receives from the environment valuations of variables from a rich theory T and outputs valuations of system variables from T. We use the abstraction method to synthesize a reactive Boolean controller from the LTL specification, and we combine it with functional synthesis to obtain a static controller for the original LTLT specification. We also show that our method allows adaptive responses in the sense that the controller can optimize its outputs in order to e.g., always provide the smallest safe values. This is the first full static synthesis method for LTLT, which is a deterministic program (hence predictable and efficient).

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