Towards certification of TLA+ proof obligations with SMT solvers
Identifieur interne : 004F00 ( Hal/Corpus ); précédent : 004E99; suivant : 004F01Towards certification of TLA+ proof obligations with SMT solvers
Auteurs : Stephan Merz ; Hernán VanzettoSource :
English descriptors
Abstract
TLA+ is a formal specification language that is based on Zermelo-Fränkel set theory and the Temporal Logic of Actions TLA. The TLA+ proof system TLAPS assists users in deductively verifying safety properties of TLA+ specifications. TLAPS is built around a proof manager, which interprets the TLA+ proof language, generates corresponding proof obligations, and passes them to backend verifiers. In this paper we present a new backend for use with SMT solvers that supports elementary set theory, functions, arithmetic, tuples, and records. We introduce a typing discipline for TLA+ proof obligations, which helps us to disambiguate the translation of expressions of (untyped) TLA+, while ensuring its soundness. Our work is a first step towards the certification of proofs generated by proof-producing SMT solvers in Isabelle/TLA+, which is intended to be the only trusted component of TLAPS.
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<front><div type="abstract" xml:lang="en">TLA+ is a formal specification language that is based on Zermelo-Fränkel set theory and the Temporal Logic of Actions TLA. The TLA+ proof system TLAPS assists users in deductively verifying safety properties of TLA+ specifications. TLAPS is built around a proof manager, which interprets the TLA+ proof language, generates corresponding proof obligations, and passes them to backend verifiers. In this paper we present a new backend for use with SMT solvers that supports elementary set theory, functions, arithmetic, tuples, and records. We introduce a typing discipline for TLA+ proof obligations, which helps us to disambiguate the translation of expressions of (untyped) TLA+, while ensuring its soundness. Our work is a first step towards the certification of proofs generated by proof-producing SMT solvers in Isabelle/TLA+, which is intended to be the only trusted component of TLAPS.</div>
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<sourceDesc><biblStruct><analytic><title xml:lang="en">Towards certification of TLA+ proof obligations with SMT solvers</title>
<author role="aut"><persName><forename type="first">Stephan</forename>
<surname>Merz</surname>
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<email>Stephan.Merz@loria.fr</email>
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<author role="aut"><persName><forename type="first">Hernán</forename>
<surname>Vanzetto</surname>
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<monogr><meeting><title>First International Workshop on Proof eXchange for Theorem Proving - PxTP 2011</title>
<date type="start">2011-08-01</date>
<date type="end">2011-08-01</date>
<settlement>Wroclaw</settlement>
<country key="PL">Poland</country>
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<editor>Pascal Fontaine and Aaron Stump</editor>
<imprint><date type="datePub">2011-07</date>
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<ref type="publisher">http://pxtp2011.loria.fr</ref>
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<textClass><keywords scheme="author"><term xml:lang="en">theorem proving</term>
<term xml:lang="en">SMT solver</term>
<term xml:lang="en">system verification</term>
<term xml:lang="en">temporal logic of actions</term>
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<abstract xml:lang="en">TLA+ is a formal specification language that is based on Zermelo-Fränkel set theory and the Temporal Logic of Actions TLA. The TLA+ proof system TLAPS assists users in deductively verifying safety properties of TLA+ specifications. TLAPS is built around a proof manager, which interprets the TLA+ proof language, generates corresponding proof obligations, and passes them to backend verifiers. In this paper we present a new backend for use with SMT solvers that supports elementary set theory, functions, arithmetic, tuples, and records. We introduce a typing discipline for TLA+ proof obligations, which helps us to disambiguate the translation of expressions of (untyped) TLA+, while ensuring its soundness. Our work is a first step towards the certification of proofs generated by proof-producing SMT solvers in Isabelle/TLA+, which is intended to be the only trusted component of TLAPS.</abstract>
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