Logic : a brief course
This short book, geared towards undergraduate students of computer science and mathematics, is specifically designed for a first course in mathematical logic. A proof of Gödel's completeness theorem and its main consequences is given using Robinson's completeness theorem and Gödel's c...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Livre numérique |
| Sprache: | Anglais |
| Veröffentlicht: |
Milano :
Springer Milan
[20..].
Cham : Springer Nature |
| Ausgabe: | 1st ed. 2012. |
| Schriftenreihe: | La Matematica per il 3+2
|
| Schlagworte: | |
| Online Zugang: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Anmerkung: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Logic, Texte imprimé, 978-88-470-2360-4 • Logic: a Brief Course, Texte imprimé, 9788847023628 • Logic: a Brief Course, Texte imprimé, 9788847023604 • Logic: a Brief Course, Texte imprimé, 9788847023628 • Logic: a Brief Course, Texte imprimé, 9788847023604 |
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| 100 | 1 | |a Mundici, Daniele, |d 1946- | |
| 245 | 1 | 0 | |a Logic : |b a brief course |c by Daniele Mundici. |
| 250 | |a 1st ed. 2012. | ||
| 260 | |a Milano : |b Springer Milan. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 0 | |a La Matematica per il 3+2 |x 2038-5757 | |
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 505 | 1 | |a Introduction Fundamental Logical Notions The Resolution Method Robinson Completeness Theorem Fast Classes for DPP Godel Compactness Theorem Propositional Logic: Syntax Propositional Logic: Semantics Normal Forms Recap: Expressivity and Efficiency The Quantifiers There Exists and For All Syntax of Predicate Logic The Meaning of Clauses Godel Completeness Theorem for the Logic of Clauses Equality Axioms The Predicate Logic L | |
| 505 | 0 | |a Introduction -- Fundamental Logical Notions -- The Resolution Method -- Robinson Completeness Theorem -- Fast Classes for DPP -- Godel Compactness Theorem -- Propositional Logic: Syntax -- Propositional Logic: Semantics -- Normal Forms -- Recap: Expressivity and Efficiency -- The Quantifiers There Exists and For All -- Syntax of Predicate Logic -- The Meaning of Clauses -- Godel Completeness Theorem for the Logic of Clauses -- Equality Axioms -- The Predicate Logic L | |
| 506 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | ||
| 506 | |a Accès soumis à abonnement pour tout autre établissement | ||
| 506 | |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 520 | |a This short book, geared towards undergraduate students of computer science and mathematics, is specifically designed for a first course in mathematical logic. A proof of Gödel's completeness theorem and its main consequences is given using Robinson's completeness theorem and Gödel's compactness theorem for propositional logic. The reader will familiarize himself with many basic ideas and artifacts of mathematical logic: a non-ambiguous syntax, logical equivalence and consequence relation, the Davis-Putnam procedure, Tarski semantics, Herbrand models, the axioms of identity, Skolem normal forms, nonstandard models and, interestingly enough, proofs and refutations viewed as graphic objects. The mathematical prerequisites are minimal: the book is accessible to anybody having some familiarity with proofs by induction. Many exercises on the relationship between natural language and formal proofs make the book also interesting to a wide range of students of philosophy and linguistics | ||
| 650 | |a Logique symbolique et mathématique | ||
| 650 | |a Informatique | ||
| 650 | |a Langages formels | ||
| 776 | 0 | |t Logic |b Texte imprimé |z 978-88-470-2360-4 | |
| 776 | 0 | |t Logic: a Brief Course |b Texte imprimé |z 9788847023628 | |
| 776 | 0 | |t Logic: a Brief Course |b Texte imprimé |z 9788847023604 | |
| 776 | 0 | |t Logic: a Brief Course |b Texte imprimé |z 9788847023628 | |
| 776 | 0 | |t Logic: a Brief Course |b Texte imprimé |z 9788847023604 | |
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| 997 | |0 958463 |1 Livre numérique |a Ressource numérique |b INSA |b ENSA |c 0/Bibliothèque numérique/ |c 1/Bibliothèque numérique/Autre ressource numérique/ | ||