LEADER 03886nam 22006735 450 001 996466091903316 005 20200701012452.0 010 $a3-540-48586-4 024 7 $a10.1007/BFb0030541 035 $a(CKB)1000000000234145 035 $a(SSID)ssj0000324193 035 $a(PQKBManifestationID)11236835 035 $a(PQKBTitleCode)TC0000324193 035 $a(PQKBWorkID)10304645 035 $a(PQKB)11704877 035 $a(DE-He213)978-3-540-48586-5 035 $a(PPN)155163639 035 $a(EXLCZ)991000000000234145 100 $a20121227d1994 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt 182 $cc 183 $acr 200 10$aIsabelle$b[electronic resource] $eA Generic Theorem Prover /$fby Lawrence C. Paulson 205 $a1st ed. 1994. 210 1$aBerlin, Heidelberg :$cSpringer Berlin Heidelberg :$cImprint: Springer,$d1994. 215 $a1 online resource (XIX, 329 p.) 225 1 $aLecture Notes in Computer Science,$x0302-9743 ;$v828 300 $aBibliographic Level Mode of Issuance: Monograph 311 $a3-540-58244-4 327 $aFoundations -- Getting started with Isabelle -- Advanced methods -- Basic use of Isabelle -- Proof management: The subgoal module -- Tactics -- Tacticals -- Theorems and forward proof -- Theories, terms and types -- Defining logics -- Syntax transformations -- Substitution tactics -- Simplification -- The classical reasoner -- Basic concepts -- First-order logic -- Zermelo-Fraenkel set theory -- Higher-order logic -- First-order sequent calculus -- Constructive Type Theory -- Syntax of Isabelle Theories. 330 $aAs a generic theorem prover, Isabelle supports a variety of logics. Distinctive features include Isabelle's representation of logics within a meta-logic and the use of higher-order unification to combine inference rules. Isabelle can be applied to reasoning in pure mathematics or verification of computer systems. This volume constitutes the Isabelle documentation. It begins by outlining theoretical aspects and then demonstrates the use in practice. Virtually all Isabelle functions are described, with advice on correct usage and numerous examples. Isabelle's built-in logics are also described in detail. There is a comprehensive bebliography and index. The book addresses prospective users of Isabelle as well as researchers in logic and automated reasoning. 410 0$aLecture Notes in Computer Science,$x0302-9743 ;$v828 606 $aMathematical logic 606 $aComputer logic 606 $aSoftware engineering 606 $aArtificial intelligence 606 $aMathematical Logic and Formal Languages$3https://scigraph.springernature.com/ontologies/product-market-codes/I16048 606 $aLogics and Meanings of Programs$3https://scigraph.springernature.com/ontologies/product-market-codes/I1603X 606 $aSoftware Engineering$3https://scigraph.springernature.com/ontologies/product-market-codes/I14029 606 $aArtificial Intelligence$3https://scigraph.springernature.com/ontologies/product-market-codes/I21000 606 $aMathematical Logic and Foundations$3https://scigraph.springernature.com/ontologies/product-market-codes/M24005 615 0$aMathematical logic. 615 0$aComputer logic. 615 0$aSoftware engineering. 615 0$aArtificial intelligence. 615 14$aMathematical Logic and Formal Languages. 615 24$aLogics and Meanings of Programs. 615 24$aSoftware Engineering. 615 24$aArtificial Intelligence. 615 24$aMathematical Logic and Foundations. 676 $a511.3/0285/53 700 $aPaulson$b Lawrence C$4aut$4http://id.loc.gov/vocabulary/relators/aut$062096 701 $aNipkow$b Tobias$f1958-$062010 906 $aBOOK 912 $a996466091903316 996 $aIsabelle$92860225 997 $aUNISA