04012nam 22006735 450 991029898940332120200630053954.03-319-10542-610.1007/978-3-319-10542-0(CKB)3710000000324994(SSID)ssj0001408025(PQKBManifestationID)11787282(PQKBTitleCode)TC0001408025(PQKBWorkID)11339716(PQKB)11210506(DE-He213)978-3-319-10542-0(MiAaPQ)EBC5586501(MiAaPQ)EBC6314781(Au-PeEL)EBL5586501(OCoLC)902703932(Au-PeEL)EBL6314781(PPN)183148606(EXLCZ)99371000000032499420141203d2014 u| 0engurnn#008mamaatxtccrConcrete Semantics With Isabelle/HOL /by Tobias Nipkow, Gerwin Klein1st ed. 2014.Cham :Springer International Publishing :Imprint: Springer,2014.1 online resource (XIII, 298 p. 87 illus., 1 illus. in color.)Bibliographic Level Mode of Issuance: Monograph3-319-10541-8 Introduction -- Programming and Proving -- Case Study: IMP Expressions -- Logic and Proof Beyond Equality -- Isar: A Language for Structured Proofs -- IMP: A Simple Imperative Language -- Compiler -- Types -- Program Analysis -- Denotational Semantics -- Hoare Logic -- Abstract Interpretation -- App. A, Auxiliary Definitions -- App. B, Symbols -- References.Part I of this book is a practical introduction to working with the Isabelle proof assistant. It teaches you how to write functional programs and inductive definitions and how to prove properties about them in Isabelle’s structured proof language. Part II is an introduction to the semantics of imperative languages with an emphasis on applications like compilers and program analysers. The distinguishing feature is that all the mathematics has been formalised in Isabelle and much of it is executable. Part I focusses on the details of proofs in Isabelle; Part II can be read even without familiarity with Isabelle’s proof language, all proofs are described in detail but informally. The book teaches the reader the art of precise logical reasoning and the practical use of a proof assistant as a surgical tool for formal proofs about computer science artefacts. In this sense it represents a formal approach to computer science, not just semantics. The Isabelle formalisation, including the proofs and accompanying slides, are freely available online, and the book is suitable for graduate students, advanced undergraduate students, and researchers in theoretical computer science and logic.Computer logicProgramming languages (Electronic computers)Mathematical logicLogics and Meanings of Programshttps://scigraph.springernature.com/ontologies/product-market-codes/I1603XProgramming Languages, Compilers, Interpretershttps://scigraph.springernature.com/ontologies/product-market-codes/I14037Mathematical Logic and Formal Languageshttps://scigraph.springernature.com/ontologies/product-market-codes/I16048Computer logic.Programming languages (Electronic computers).Mathematical logic.Logics and Meanings of Programs.Programming Languages, Compilers, Interpreters.Mathematical Logic and Formal Languages.005.1015113Nipkow Tobiasauthttp://id.loc.gov/vocabulary/relators/aut62010Klein Gerwinauthttp://id.loc.gov/vocabulary/relators/autMiAaPQMiAaPQMiAaPQBOOK9910298989403321Concrete Semantics1906162UNINA