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_a9783540459491 _9978-3-540-45949-1 |
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024 | 7 |
_a10.1007/3-540-45949-9 _2doi |
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_aUYA _2bicssc |
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_aCOM014000 _2bisacsh |
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_aUYA _2thema |
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_a005.131 _223 |
100 | 1 |
_aNipkow, Tobias. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut |
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245 | 1 | 0 |
_aIsabelle/HOL _h[electronic resource] : _bA Proof Assistant for Higher-Order Logic / _cby Tobias Nipkow, Lawrence C. Paulson, Markus Wenzel. |
250 | _a1st ed. 2002. | ||
264 | 1 |
_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg : _bImprint: Springer, _c2002. |
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300 |
_aXIV, 226 p. _bonline resource. |
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_atext _btxt _2rdacontent |
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_acomputer _bc _2rdamedia |
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_aonline resource _bcr _2rdacarrier |
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_atext file _bPDF _2rda |
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490 | 1 |
_aLecture Notes in Computer Science, _x1611-3349 ; _v2283 |
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505 | 0 | _aElementary Techniques -- 1. The Basics -- 2. Functional Programming in HOL -- 3. More Functional Programming -- 4. Presenting Theories -- Logic and Sets -- 5. The Rules of the Game -- 6. Sets, Functions, and Relations -- 7. Inductively Defined Sets -- Advanced Material -- 8. More about Types -- 9. Advanced Simplification, Recursion, and Induction -- 10. Case Study: Verifying a Security Protocol. | |
520 | _aThis volume is a self-contained introduction to interactive proof in high- order logic (HOL), using the proof assistant Isabelle 2002. Compared with existing Isabelle documentation, it provides a direct route into higher-order logic, which most people prefer these days. It bypasses ?rst-order logic and minimizes discussion of meta-theory. It is written for potential users rather than for our colleagues in the research world. Another departure from previous documentation is that we describe Markus Wenzel’s proof script notation instead of ML tactic scripts. The l- ter make it easier to introduce new tactics on the ?y, but hardly anybody does that. Wenzel’s dedicated syntax is elegant, replacing for example eight simpli?cation tactics with a single method, namely simp, with associated - tions. The book has three parts. – The ?rst part, Elementary Techniques, shows how to model functional programs in higher-order logic. Early examples involve lists and the natural numbers. Most proofs are two steps long, consisting of induction on a chosen variable followed by the auto tactic. But even this elementary part covers such advanced topics as nested and mutual recursion. – The second part, Logic and Sets, presents a collection of lower-level tactics that you can use to apply rules selectively. It also describes I- belle/HOL’s treatment of sets, functions, and relations and explains how to de?ne sets inductively. One of the examples concerns the theory of model checking, and another is drawn from a classic textbook on formal languages. | ||
650 | 0 | _aMachine theory. | |
650 | 0 | _aLogic. | |
650 | 0 | _aComputer science. | |
650 | 0 | _aArtificial intelligence. | |
650 | 0 | _aCompilers (Computer programs). | |
650 | 1 | 4 | _aFormal Languages and Automata Theory. |
650 | 2 | 4 | _aLogic. |
650 | 2 | 4 | _aTheory of Computation. |
650 | 2 | 4 | _aArtificial Intelligence. |
650 | 2 | 4 | _aComputer Science Logic and Foundations of Programming. |
650 | 2 | 4 | _aCompilers and Interpreters. |
700 | 1 |
_aPaulson, Lawrence C. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut |
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700 | 1 |
_aWenzel, Markus. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut |
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710 | 2 | _aSpringerLink (Online service) | |
773 | 0 | _tSpringer Nature eBook | |
776 | 0 | 8 |
_iPrinted edition: _z9783540433767 |
776 | 0 | 8 |
_iPrinted edition: _z9783662182291 |
830 | 0 |
_aLecture Notes in Computer Science, _x1611-3349 ; _v2283 |
|
856 | 4 | 0 | _uhttps://doi.org/10.1007/3-540-45949-9 |
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