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Isabelle : a generic theorem prover

Author: Lawrence C Paulson; Tobias Nipkow
Publisher: Berlin ; New York : Springer-Verlag, ©1994.
Series: Lecture notes in computer science, 828.
Edition/Format:  Print book : Document  Computer File : EnglishView all editions and formats
Summary:
"As 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  Read more...
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Genre/Form: Electronic resources (Books)
Material Type: Document, Internet resource
Document Type: Book, Computer File, Internet Resource
All Authors / Contributors: Lawrence C Paulson; Tobias Nipkow
ISBN: 3540582444 9783540582441 0387582444 9780387582443
OCLC Number: 30667004
Description: xvii, 321 pages : illustrations ; 24 cm
Contents: I. Introduction to Isabelle. 1. Foundations. 2. Getting Started with Isabelle. 3. Advanced Methods --
II. The Isabelle Reference Manual. 4. Basic Use of Isabelle. 5. Proof Management: The Subgoal Module. 6. Tactics. 7. Tacticals. 8. Theorems and Forward Proof. 9. Theories, Terms and Types. 10. Defining Logics. 11. Syntax Transformations. 12. Substitution Tactics. 13. Simplification. 14. The Classical Reasoner --
III. Isabelle's Object-Logics. 15. Basic Concepts. 16. First-Order Logic. 17. Zermelo-Fraenkel Set Theory. 18. Higher-Order Logic. 19. First-Order Sequent Calculus. 20. Constructive Type Theory --
A: Syntax of Isabelle Theories.
Series Title: Lecture notes in computer science, 828.
Responsibility: Lawrence C. Paulson ; with contributions by Tobias Nipkow.
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Abstract:

As 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  Read more...

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Primary Entity<\/h3>\n
<http:\/\/www.worldcat.org\/oclc\/30667004<\/a>> # Isabelle : a generic theorem prover<\/span>\n\u00A0\u00A0\u00A0\u00A0a \nschema:MediaObject<\/a>, schema:Book<\/a>, schema:CreativeWork<\/a> ;\u00A0\u00A0\u00A0\nlibrary:oclcnum<\/a> \"30667004<\/span>\" ;\u00A0\u00A0\u00A0\nlibrary:placeOfPublication<\/a> <http:\/\/id.loc.gov\/vocabulary\/countries\/gw<\/a>> ;\u00A0\u00A0\u00A0\nlibrary:placeOfPublication<\/a> <http:\/\/dbpedia.org\/resource\/New_York_City<\/a>> ; # New York<\/span>\n\u00A0\u00A0\u00A0\nlibrary:placeOfPublication<\/a> <http:\/\/experiment.worldcat.org\/entity\/work\/data\/866526351#Place\/berlin<\/a>> ; # Berlin<\/span>\n\u00A0\u00A0\u00A0\nschema:about<\/a> <http:\/\/dewey.info\/class\/511.3028553\/e20\/<\/a>> ;\u00A0\u00A0\u00A0\nschema:about<\/a> <http:\/\/experiment.worldcat.org\/entity\/work\/data\/866526351#Topic\/proof_theory<\/a>> ; # Proof theory<\/span>\n\u00A0\u00A0\u00A0\nschema:about<\/a> <http:\/\/experiment.worldcat.org\/entity\/work\/data\/866526351#Topic\/logic_programming<\/a>> ; # Logic programming<\/span>\n\u00A0\u00A0\u00A0\nschema:about<\/a> <http:\/\/experiment.worldcat.org\/entity\/work\/data\/866526351#CreativeWork\/isabelle_logiciel<\/a>> ; # Isabelle (Logiciel)<\/span>\n\u00A0\u00A0\u00A0\nschema:about<\/a> <http:\/\/experiment.worldcat.org\/entity\/work\/data\/866526351#Topic\/isabelle<\/a>> ; # Isabelle<\/span>\n\u00A0\u00A0\u00A0\nschema:about<\/a> <http:\/\/id.worldcat.org\/fast\/1382520<\/a>> ; # Isabelle (Computer file)<\/span>\n\u00A0\u00A0\u00A0\nschema:about<\/a> <http:\/\/id.worldcat.org\/fast\/822777<\/a>> ; # Automatic theorem proving<\/span>\n\u00A0\u00A0\u00A0\nschema:about<\/a> <http:\/\/experiment.worldcat.org\/entity\/work\/data\/866526351#CreativeWork\/isabelle_computer_file<\/a>> ; # Isabelle (Computer file)<\/span>\n\u00A0\u00A0\u00A0\nschema:about<\/a> <http:\/\/experiment.worldcat.org\/entity\/work\/data\/866526351#Topic\/theoremes_demonstration_automatique<\/a>> ; # Th\u00E9or\u00E8mes--D\u00E9monstration automatique<\/span>\n\u00A0\u00A0\u00A0\nschema:about<\/a> <http:\/\/experiment.worldcat.org\/entity\/work\/data\/866526351#Topic\/automatische_bewijsvoering<\/a>> ; # Automatische bewijsvoering<\/span>\n\u00A0\u00A0\u00A0\nschema:bookFormat<\/a> bgn:PrintBook<\/a> ;\u00A0\u00A0\u00A0\nschema:contributor<\/a> <http:\/\/viaf.org\/viaf\/113774856<\/a>> ; # Tobias Nipkow<\/span>\n\u00A0\u00A0\u00A0\nschema:copyrightYear<\/a> \"1994<\/span>\" ;\u00A0\u00A0\u00A0\nschema:creator<\/a> <http:\/\/viaf.org\/viaf\/91459151<\/a>> ; # Lawrence C. Paulson<\/span>\n\u00A0\u00A0\u00A0\nschema:datePublished<\/a> \"1994<\/span>\" ;\u00A0\u00A0\u00A0\nschema:description<\/a> \"\"As 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.\"--PUBLISHER\'S WEBSITE.<\/span>\"@en<\/a> ;\u00A0\u00A0\u00A0\nschema:description<\/a> \"I. Introduction to Isabelle. 1. Foundations. 2. Getting Started with Isabelle. 3. Advanced Methods -- II. The Isabelle Reference Manual. 4. Basic Use of Isabelle. 5. Proof Management: The Subgoal Module. 6. Tactics. 7. Tacticals. 8. Theorems and Forward Proof. 9. Theories, Terms and Types. 10. Defining Logics. 11. Syntax Transformations. 12. Substitution Tactics. 13. Simplification. 14. The Classical Reasoner -- III. Isabelle\'s Object-Logics. 15. Basic Concepts. 16. First-Order Logic. 17. Zermelo-Fraenkel Set Theory. 18. Higher-Order Logic. 19. First-Order Sequent Calculus. 20. Constructive Type Theory -- A: Syntax of Isabelle Theories.<\/span>\"@en<\/a> ;\u00A0\u00A0\u00A0\nschema:exampleOfWork<\/a> <http:\/\/worldcat.org\/entity\/work\/id\/866526351<\/a>> ;\u00A0\u00A0\u00A0\nschema:genre<\/a> \"Electronic resources (Books)<\/span>\"@en<\/a> ;\u00A0\u00A0\u00A0\nschema:inLanguage<\/a> \"en<\/span>\" ;\u00A0\u00A0\u00A0\nschema:isPartOf<\/a> <http:\/\/experiment.worldcat.org\/entity\/work\/data\/866526351#Series\/lecture_notes_in_computer_science<\/a>> ; # Lecture notes in computer science ;<\/span>\n\u00A0\u00A0\u00A0\nschema:name<\/a> \"Isabelle : a generic theorem prover<\/span>\"@en<\/a> ;\u00A0\u00A0\u00A0\nschema:productID<\/a> \"30667004<\/span>\" ;\u00A0\u00A0\u00A0\nschema:publication<\/a> <http:\/\/www.worldcat.org\/title\/-\/oclc\/30667004#PublicationEvent\/berlin_new_york_springer_verlag_1994<\/a>> ;\u00A0\u00A0\u00A0\nschema:publisher<\/a> <http:\/\/experiment.worldcat.org\/entity\/work\/data\/866526351#Agent\/springer_verlag<\/a>> ; # Springer-Verlag<\/span>\n\u00A0\u00A0\u00A0\nschema:url<\/a> <http:\/\/link.springer.com\/10.1007\/BFb0030541<\/a>> ;\u00A0\u00A0\u00A0\nschema:url<\/a> <https:\/\/doi.org\/10.1007\/BFb0030541<\/a>> ;\u00A0\u00A0\u00A0\nschema:url<\/a> <http:\/\/www.library.tufts.edu\/ezproxy\/ezproxy.asp?LOCATION=SpLinkLeNoCoSc<\/a>> ;\u00A0\u00A0\u00A0\nschema:url<\/a> <http:\/\/www.springerlink.com\/openurl.asp?genre=issue&issn=0302-9743&volume=828<\/a>> ;\u00A0\u00A0\u00A0\nschema:workExample<\/a> <http:\/\/worldcat.org\/isbn\/9783540582441<\/a>> ;\u00A0\u00A0\u00A0\nschema:workExample<\/a> <http:\/\/worldcat.org\/isbn\/9780387582443<\/a>> ;\u00A0\u00A0\u00A0\numbel:isLike<\/a> <http:\/\/d-nb.info\/941358577<\/a>> ;\u00A0\u00A0\u00A0\nwdrs:describedby<\/a> <http:\/\/www.worldcat.org\/title\/-\/oclc\/30667004<\/a>> ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n\n

Related Entities<\/h3>\n
<http:\/\/dbpedia.org\/resource\/New_York_City<\/a>> # New York<\/span>\n\u00A0\u00A0\u00A0\u00A0a \nschema:Place<\/a> ;\u00A0\u00A0\u00A0\nschema:name<\/a> \"New York<\/span>\" ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/dewey.info\/class\/511.3028553\/e20\/<\/a>>\u00A0\u00A0\u00A0\u00A0a \nschema:Intangible<\/a> ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/experiment.worldcat.org\/entity\/work\/data\/866526351#Agent\/springer_verlag<\/a>> # Springer-Verlag<\/span>\n\u00A0\u00A0\u00A0\u00A0a \nbgn:Agent<\/a> ;\u00A0\u00A0\u00A0\nschema:name<\/a> \"Springer-Verlag<\/span>\" ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/experiment.worldcat.org\/entity\/work\/data\/866526351#CreativeWork\/isabelle_computer_file<\/a>> # Isabelle (Computer file)<\/span>\n\u00A0\u00A0\u00A0\u00A0a \nschema:CreativeWork<\/a> ;\u00A0\u00A0\u00A0\nschema:name<\/a> \"Isabelle (Computer file)<\/span>\" ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/experiment.worldcat.org\/entity\/work\/data\/866526351#CreativeWork\/isabelle_logiciel<\/a>> # Isabelle (Logiciel)<\/span>\n\u00A0\u00A0\u00A0\u00A0a \nschema:CreativeWork<\/a> ;\u00A0\u00A0\u00A0\nschema:name<\/a> \"Isabelle (Logiciel)<\/span>\" ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/experiment.worldcat.org\/entity\/work\/data\/866526351#Place\/berlin<\/a>> # Berlin<\/span>\n\u00A0\u00A0\u00A0\u00A0a \nschema:Place<\/a> ;\u00A0\u00A0\u00A0\nschema:name<\/a> \"Berlin<\/span>\" ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/experiment.worldcat.org\/entity\/work\/data\/866526351#Series\/lecture_notes_in_computer_science<\/a>> # Lecture notes in computer science ;<\/span>\n\u00A0\u00A0\u00A0\u00A0a \nbgn:PublicationSeries<\/a> ;\u00A0\u00A0\u00A0\nschema:hasPart<\/a> <http:\/\/www.worldcat.org\/oclc\/30667004<\/a>> ; # Isabelle : a generic theorem prover<\/span>\n\u00A0\u00A0\u00A0\nschema:name<\/a> \"Lecture notes in computer science ;<\/span>\" ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/experiment.worldcat.org\/entity\/work\/data\/866526351#Topic\/automatische_bewijsvoering<\/a>> # Automatische bewijsvoering<\/span>\n\u00A0\u00A0\u00A0\u00A0a \nschema:Intangible<\/a> ;\u00A0\u00A0\u00A0\nschema:name<\/a> \"Automatische bewijsvoering<\/span>\"@en<\/a> ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/experiment.worldcat.org\/entity\/work\/data\/866526351#Topic\/isabelle<\/a>> # Isabelle<\/span>\n\u00A0\u00A0\u00A0\u00A0a \nschema:Intangible<\/a> ;\u00A0\u00A0\u00A0\nschema:name<\/a> \"Isabelle<\/span>\"@en<\/a> ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/experiment.worldcat.org\/entity\/work\/data\/866526351#Topic\/logic_programming<\/a>> # Logic programming<\/span>\n\u00A0\u00A0\u00A0\u00A0a \nschema:Intangible<\/a> ;\u00A0\u00A0\u00A0\nschema:name<\/a> \"Logic programming<\/span>\"@en<\/a> ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/experiment.worldcat.org\/entity\/work\/data\/866526351#Topic\/proof_theory<\/a>> # Proof theory<\/span>\n\u00A0\u00A0\u00A0\u00A0a \nschema:Intangible<\/a> ;\u00A0\u00A0\u00A0\nschema:name<\/a> \"Proof theory<\/span>\"@en<\/a> ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/experiment.worldcat.org\/entity\/work\/data\/866526351#Topic\/theoremes_demonstration_automatique<\/a>> # Th\u00E9or\u00E8mes--D\u00E9monstration automatique<\/span>\n\u00A0\u00A0\u00A0\u00A0a \nschema:Intangible<\/a> ;\u00A0\u00A0\u00A0\nschema:name<\/a> \"Th\u00E9or\u00E8mes--D\u00E9monstration automatique<\/span>\"@en<\/a> ;\u00A0\u00A0\u00A0\nschema:name<\/a> \"Th\u00E9or\u00E8mes--D\u00E9monstration automatique<\/span>\"@fr<\/a> ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/id.loc.gov\/vocabulary\/countries\/gw<\/a>>\u00A0\u00A0\u00A0\u00A0a \nschema:Place<\/a> ;\u00A0\u00A0\u00A0\ndcterms:identifier<\/a> \"gw<\/span>\" ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/id.worldcat.org\/fast\/1382520<\/a>> # Isabelle (Computer file)<\/span>\n\u00A0\u00A0\u00A0\u00A0a \nschema:CreativeWork<\/a> ;\u00A0\u00A0\u00A0\nschema:name<\/a> \"Isabelle (Computer file)<\/span>\" ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/id.worldcat.org\/fast\/822777<\/a>> # Automatic theorem proving<\/span>\n\u00A0\u00A0\u00A0\u00A0a \nschema:Intangible<\/a> ;\u00A0\u00A0\u00A0\nschema:name<\/a> \"Automatic theorem proving<\/span>\"@en<\/a> ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/link.springer.com\/10.1007\/BFb0030541<\/a>>\u00A0\u00A0\u00A0\nrdfs:comment<\/a> \"eBook available for UOIT via SpringerLink. Click link to access<\/span>\" ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/viaf.org\/viaf\/113774856<\/a>> # Tobias Nipkow<\/span>\n\u00A0\u00A0\u00A0\u00A0a \nschema:Person<\/a> ;\u00A0\u00A0\u00A0\nschema:birthDate<\/a> \"1958<\/span>\" ;\u00A0\u00A0\u00A0\nschema:familyName<\/a> \"Nipkow<\/span>\" ;\u00A0\u00A0\u00A0\nschema:givenName<\/a> \"Tobias<\/span>\" ;\u00A0\u00A0\u00A0\nschema:name<\/a> \"Tobias Nipkow<\/span>\" ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/viaf.org\/viaf\/91459151<\/a>> # Lawrence C. Paulson<\/span>\n\u00A0\u00A0\u00A0\u00A0a \nschema:Person<\/a> ;\u00A0\u00A0\u00A0\nschema:familyName<\/a> \"Paulson<\/span>\" ;\u00A0\u00A0\u00A0\nschema:givenName<\/a> \"Lawrence C.<\/span>\" ;\u00A0\u00A0\u00A0\nschema:name<\/a> \"Lawrence C. Paulson<\/span>\" ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/worldcat.org\/isbn\/9780387582443<\/a>>\u00A0\u00A0\u00A0\u00A0a \nschema:ProductModel<\/a> ;\u00A0\u00A0\u00A0\nschema:isbn<\/a> \"0387582444<\/span>\" ;\u00A0\u00A0\u00A0\nschema:isbn<\/a> \"9780387582443<\/span>\" ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/worldcat.org\/isbn\/9783540582441<\/a>>\u00A0\u00A0\u00A0\u00A0a \nschema:ProductModel<\/a> ;\u00A0\u00A0\u00A0\nschema:isbn<\/a> \"3540582444<\/span>\" ;\u00A0\u00A0\u00A0\nschema:isbn<\/a> \"9783540582441<\/span>\" ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/www.worldcat.org\/title\/-\/oclc\/30667004<\/a>>\u00A0\u00A0\u00A0\u00A0a \ngenont:InformationResource<\/a>, genont:ContentTypeGenericResource<\/a> ;\u00A0\u00A0\u00A0\nschema:about<\/a> <http:\/\/www.worldcat.org\/oclc\/30667004<\/a>> ; # Isabelle : a generic theorem prover<\/span>\n\u00A0\u00A0\u00A0\nschema:dateModified<\/a> \"2020-11-23<\/span>\" ;\u00A0\u00A0\u00A0\nvoid:inDataset<\/a> <http:\/\/purl.oclc.org\/dataset\/WorldCat<\/a>> ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/www.worldcat.org\/title\/-\/oclc\/30667004#PublicationEvent\/berlin_new_york_springer_verlag_1994<\/a>>\u00A0\u00A0\u00A0\u00A0a \nschema:PublicationEvent<\/a> ;\u00A0\u00A0\u00A0\nschema:location<\/a> <http:\/\/dbpedia.org\/resource\/New_York_City<\/a>> ; # New York<\/span>\n\u00A0\u00A0\u00A0\nschema:location<\/a> <http:\/\/experiment.worldcat.org\/entity\/work\/data\/866526351#Place\/berlin<\/a>> ; # Berlin<\/span>\n\u00A0\u00A0\u00A0\nschema:organizer<\/a> <http:\/\/experiment.worldcat.org\/entity\/work\/data\/866526351#Agent\/springer_verlag<\/a>> ; # Springer-Verlag<\/span>\n\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n\n

Content-negotiable representations<\/p>\n