Warenkorb
€ 0,00 0 Buch dabei,
portofrei
Admissibility of Logical Inference Rules als Buch
PORTO-
FREI

Admissibility of Logical Inference Rules

Sprache: Englisch.
Buch (gebunden)
Ihr 13%-Rabatt auf alle Spielwaren, Hörbücher, Filme, Musik u.v.m
 
13% Rabatt sichern mit Gutscheincode: GIBMIR13
 
The aim of this book is to present the fundamental theoretical results concerning inference rules in deductive formal systems. Primary attention is focused on: - admissible or permissible inference rules- the derivability of the admissible inference … weiterlesen
Dieses Buch ist auch verfügbar als:
Buch

176,99*

inkl. MwSt.
Portofrei
Lieferbar innerhalb von zwei Wochen
Admissibility of Logical Inference Rules als Buch

Produktdetails

Titel: Admissibility of Logical Inference Rules
Autor/en: V. V. Rybakov

ISBN: 0444895051
EAN: 9780444895059
Sprache: Englisch.
ELSEVIER LTD

März 1997 - gebunden - 616 Seiten

Beschreibung

The aim of this book is to present the fundamental theoretical results concerning inference rules in deductive formal systems. Primary attention is focused on: - admissible or permissible inference rules- the derivability of the admissible inference rules- the structural completeness of logics- the bases for admissible and valid inference rules.There is particular emphasis on propositional non-standard logics (primary, superintuitionistic and modal logics) but general logical consequence relations and classical first-order theories are also considered.The book is basically self-contained and special attention has been made to present the material in a convenient manner for the reader. Proofs of results, many of which are not readily available elsewhere, are also included.The book is written at a level appropriate for first-year graduate students in mathematics or computer science. Although some knowledge of elementary logic and universal algebra are necessary, the first chapter includes all the results from universal algebra and logic that the reader needs. For graduate students in mathematics and computer science the book is an excellent textbook.

Inhaltsverzeichnis

Preface and acknowledgments. Introduction. Syntaxes and Semantics. Syntax of formal logic systems. First-order semantics and universal algebra. Algebraic semantics for propositional logics. Admissible rules in algebraic logics. Logical consequence relations. Algebraizable consequence relations. Admissibility for consequence relations. Lattices of logical consequences. Semantics for Non-Standard Logics. Algebraic semantics for intuitionistic logic. Algebraic semantics, modal and tense logics. Kripke semantics for modal and temporal logic. Kripke semantics for intuitionistic logic. Stone's theory and Kripke semantics. The finite model property. Relation of intuitionistic and modal logics. Advanced tools for the finite model property. Kripke incomplete logics. Advanced tools for Kripke completeness.Criteria for Admissibility. Reduced forms. T--translation of inference rules. Semantic criteria for admissibility. Some technical lemmas. Criteria for determining admissibility. Elementary theories of free algebras. Scheme--logics of first--order theories. Some counterexamples. Admissibility through reduced forms. Bases for Inference Rules. Initial auxiliary results. The absence of finite bases. Bases for some strong logics. Bases for valid rules of tabular logics. Tabular logics without independent bases. Structural Completeness. General properties, descriptions. Quasi--characteristic inference rules. Some preliminary technical results. Hereditary structural completeness. Structurally complete fragments. Related Questions. Rules with meta--variables. The preservation of admissible for S4 rules. The preservation of admissibility for H. Non-compact modal logics. Decidable Kripke non--compact logics. Non--compact superintuitionistic logics. Index. Bibliography.
Servicehotline
089 - 70 80 99 47

Mo. - Fr. 8.00 - 20.00 Uhr
Sa. 10.00 - 20.00 Uhr
Filialhotline
089 - 30 75 75 75

Mo. - Sa. 9.00 - 20.00 Uhr
Bleiben Sie in Kontakt:
Sicher & bequem bezahlen:
akzeptierte Zahlungsarten: Überweisung, offene Rechnung,
Visa, Master Card, American Express, Paypal
Zustellung durch:
* Alle Preise verstehen sich inkl. der gesetzlichen MwSt. Informationen über den Versand und anfallende Versandkosten finden Sie hier.
** Deutschsprachige eBooks und Bücher dürfen aufgrund der in Deutschland geltenden Buchpreisbindung und/oder Vorgaben von Verlagen nicht rabattiert werden. Soweit von uns deutschsprachige eBooks und Bücher günstiger angezeigt werden, wurde bei diesen kürzlich von den Verlagen der Preis gesenkt oder die Buchpreisbindung wurde für diese Titel inzwischen aufgehoben. Angaben zu Preisnachlässen beziehen sich auf den dargestellten Vergleichspreis.