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LeanLTL: A Unifying Framework for Linear Temporal Logics in Lean (Short Paper)

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Název: LeanLTL: A Unifying Framework for Linear Temporal Logics in Lean (Short Paper)
Autoři: Vin, Eric, Miller, Kyle A., Fremont, Daniel J.
Přispěvatelé: Eric Vin and Kyle A. Miller and Daniel J. Fremont
Informace o vydavateli: Schloss Dagstuhl – Leibniz-Zentrum für Informatik, 2025.
Rok vydání: 2025
Témata: Interactive Theorem Proving, Lean 4, ddc:004, Linear Temporal Logic
Popis: We propose LeanLTL, a unifying framework for linear temporal logics in Lean 4. LeanLTL supports reasoning about traces that represent either infinite or finite linear time. The library allows traditional LTL syntax to be combined with arbitrary Lean expressions, making it straightforward to define properties involving numerical or other types. We prove that standard flavors of LTL can be embedded in our framework. The library also provides automation for reasoning about LeanLTL formulas in a way that facilitates using Lean’s existing tactics. Finally, we provide examples illustrating the utility of the library in reasoning about systems that come from applications.
Druh dokumentu: Conference object
Popis souboru: application/pdf
Jazyk: English
DOI: 10.4230/lipics.itp.2025.37
Přístupová URL adresa: https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.ITP.2025.37
Rights: CC BY
Přístupové číslo: edsair.od......1814..ee988a36e6869bcd85a179b283bf660f
Databáze: OpenAIRE
Popis
Abstrakt:We propose LeanLTL, a unifying framework for linear temporal logics in Lean 4. LeanLTL supports reasoning about traces that represent either infinite or finite linear time. The library allows traditional LTL syntax to be combined with arbitrary Lean expressions, making it straightforward to define properties involving numerical or other types. We prove that standard flavors of LTL can be embedded in our framework. The library also provides automation for reasoning about LeanLTL formulas in a way that facilitates using Lean’s existing tactics. Finally, we provide examples illustrating the utility of the library in reasoning about systems that come from applications.
DOI:10.4230/lipics.itp.2025.37