Structural temporal logic for mechanized program verification

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Vydáno v:arXiv.org (Nov 18, 2024), p. n/a
Hlavní autor: Ioannidis, Eleftherios
Další autoři: Zakowski, Yannick, Zdancewic, Steve, Angel, Sebastian
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Cornell University Library, arXiv.org
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Popis
Abstrakt:Mechanized verification of liveness properties for programs with effects, nondeterminism, and nontermination is difficult. Existing temporal reasoning frameworks operate on the level of models (traces, automata) not executable code, creating a verification gap and losing the benefits of modularity and composition enjoyed by structural program logics. Reasoning about infinite traces and automata requires complex (co-)inductive proof techniques and familiarity with proof assistant mechanics (e.g., guardedness checker). We propose a structural approach to the verification of temporal properties with a new temporal logic that we call Ticl. Using Ticl, we internalize complex (co-)inductive proof techniques to structural lemmas and reasoning about variants and invariants. We show that it is possible to perform mechanized proofs of general temporal properties, while working in a high-level of abstraction. We demonstrate the benefits of ticl by giving short, structural proofs of safety and liveness properties for programs with queues, secure memory, and distributed consensus.
ISSN:2331-8422
Zdroj:Engineering Database