2001, ISBN: 9789400703193

[ED: Buch], [PU: Springer-Verlag GmbH], Neuware - This is the first book on cut-elimination in first-order predicate logic from an algorithmic point of view. Instead of just proving the e… Más…

[ED: Buch], [PU: Springer-Verlag GmbH], Neuware - This is the first book on cut-elimination in first-order predicate logic from an algorithmic point of view. Instead of just proving the existence of cut-free proofs, it focuses on the algorithmic methods transforming proofs with arbitrary cuts to proofs with only atomic cuts (atomic cut normal forms, so-called ACNFs). The first part investigates traditional reductive methods from the point of view of proof rewriting. Within this general framework, generalizations of Gentzen's and Sch'utte-Tait's cut-elimination methods are defined and shown terminating with ACNFs of the original proof. Moreover, a complexity theoretic comparison of Gentzen's and Tait's methods is given.The core of the book centers around the cut-elimination method CERES (cut elimination by resolution) developed by the authors. CERES is based on the resolution calculus and radically differs from the reductive cut-elimination methods. The book shows that CERES asymptotically outperforms all reductive methods based on Gentzen's cut-reduction rules. It obtains this result by heavy use of subsumption theorems in clause logic. Moreover, several applications of CERES are given (to interpolation, complexity analysis of cut-elimination, generalization of proofs, and to the analysis of real mathematical proofs). Lastly, the book demonstrates that CERES can be extended to nonclassical logics, in particular to finitely-valued logics and to G'odel logic., DE, [SC: 0.00], Neuware, gewerbliches Angebot, 243x167x27 mm, 287, [GW: 578g], Banküberweisung, Offene Rechnung, Kreditkarte, PayPal, Offene Rechnung (Vorkasse vorbehalten), Internationaler Versand<

2011, ISBN: 9789400703193

Springer, Gebundene Ausgabe, Auflage: 2011, 296 Seiten, Publiziert: 2011-01-17T00:00:01Z, Produktgruppe: Buch, Hersteller-Nr.: biography, 2.89 kg, Verkaufsrang: 20178, Informatik, IT-Ausb… Más…

Springer, Gebundene Ausgabe, Auflage: 2011, 296 Seiten, Publiziert: 2011-01-17T00:00:01Z, Produktgruppe: Buch, Hersteller-Nr.: biography, 2.89 kg, Verkaufsrang: 20178, Informatik, IT-Ausbildung & -Berufe, Computer & Internet, Kategorien, Bücher, Programmierung & Webdesign, Mathematik, Naturwissenschaften & Technik, Fremdsprachige Bücher, Englische Bücher, Springer, 2011<

2011, ISBN: 9400703198

Gebundene Ausgabe Mathematik / Logik, Mathematik / Informatik, Computer, Theoretische Informatik, Programmier- und Skriptsprachen, allgemein, mit Schutzumschlag 11, [PU:Springer-Verlag G… Más…

Gebundene Ausgabe Mathematik / Logik, Mathematik / Informatik, Computer, Theoretische Informatik, Programmier- und Skriptsprachen, allgemein, mit Schutzumschlag 11, [PU:Springer-Verlag GmbH; Springer Netherland]<

2011, ISBN: 9789400703193

Hard cover, New., 290 p. Trends in Logic , 34. VI, 290 p. Intended for professional and scholarly audience., Dordrecht, [PU: Springer]