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Brand New, Unread Copy in Perfect Condition. A+ Customer Service! Summary: Introduction. On the book. Mathematical Prerequisites. Exercises. Notes for Mathematical Prerquisites. 0. Basic definitions and facts. Part I: Protoalgebraic Logics. The Leibniz Operator. 1. Protoalgebraic logics. 2. Protoalgebraicity and the Deduction Theorem. 3. Equivalential logics. Part II: Algebraizable Sentential Logics. Q. Quasivarieties of algebras. 4. Algebraizable logics. 5. Regularly algebraizable logics. 6. Fregean logics. Bibliography. Symbol Index. Index of definitions. Buchnummer des Verkäufers

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Inhaltsangabe: The main aim of this monograph is to provide a structured study of the algebraic method in metalogic. In contrast to traditional algebraic logic, where the focus is on the algebraic forms of specific deductive systems, abstract algebraic logic is concerned with the process of algebraization itself. This book presents in a systematic way recent ideas in abstract algebraic logic centered around the notion of the Leibniz operator. The stress is put on the taxonomy of deductive systems. Isolating a list of plausible properties of the Leibniz operator serves as a basis for distinguishing certain natural classes of sentential logics. The hierarchy of deductive systems presented in the book comprises, among others, the following classes: protoalgebraic logics, equivalential logics, algebraizable logics, and Fregean logics. Because of the intimate connection between algebraic and logical structures, the book also provides a uniform treatment of various topics concerning deduction theorems and quasivarieties of algebras.
The presentation of the above classes of logics is accompanied by a wealth of examples illustrating the general theory. An essential part of the book is formed by the numerous exercises integrated into the text.
This book is both suitable for logically and algebraically minded graduate and advanced graduate students of mathematics, computer science and philosophy, and as a reference work for the expert.

Inhaltsangabe: The main aim of this book is to present recent ideas in logic centered around the notion of a consequence operation. We wish to show these ideas in a factually and materially connected way, i.e., in the form of a consistent theory derived from several simple assumptions and definitions. These ideas have arisen in many research centers. The thorough study of their history can certainly be an exciting task for the historian of logic; in the book this aspect of the theory is being played down. The book belongs to abstract algebraic logic, the area of research that explores to a large extent interconnections between algebra and logic. The results presented here concern logics defined in zero-order languages (Le., quantifier-free sentential languages without predicate symbols). The reach of the theory expounded in the book is, in fact, much wider. The theory is also valid for logics defined in languages of higer orders. The problem of transferring the theory to the level of first-order languages has been satisfactorily solved and new ideas within this area have been put forward in the work of Blok and Pigozzi [1989].

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Czelakowski, Janusz
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Buchbeschreibung Springer, 2001. Buchzustand: New. This item is printed on demand for shipment within 3 working days. Buchnummer des Verkäufers LP9780792369400

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Buchbeschreibung Kluwer Academic Publishers, 2001. HRD. Buchzustand: New. New Book. Delivered from our US warehouse in 10 to 14 business days. THIS BOOK IS PRINTED ON DEMAND. Established seller since 2000. Buchnummer des Verkäufers I1-9780792369400

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Buchbeschreibung Springer, 2001. Hardback. Buchzustand: NEW. 9780792369400 This listing is a new book, a title currently in-print which we order directly and immediately from the publisher. Buchnummer des Verkäufers HTANDREE0282831

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Buchbeschreibung Springer, 2016. Paperback. Buchzustand: New. PRINT ON DEMAND Book; New; Publication Year 2016; Not Signed; Fast Shipping from the UK. No. book. Buchnummer des Verkäufers ria9780792369400_lsuk

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Buchbeschreibung Buchzustand: New. Brand new book, sourced directly from publisher. Dispatch time is 24-48 hours from our warehouse. Book will be sent in robust, secure packaging to ensure it reaches you securely. Buchnummer des Verkäufers NU-ING-00706547

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Buchbeschreibung Kluwer Academic Publishers, 2001. HRD. Buchzustand: New. New Book. Shipped from US within 10 to 14 business days. THIS BOOK IS PRINTED ON DEMAND. Established seller since 2000. Buchnummer des Verkäufers I1-9780792369400

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Buchbeschreibung Springer, 2001. Hardcover. Buchzustand: New. book. Buchnummer des Verkäufers 0792369408

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Buchbeschreibung Kluwer Academic Publishers, United States, 2001. Hardback. Buchzustand: New. 2001 ed.. 249 x 160 mm. Language: English . Brand New Book ***** Print on Demand *****. The main aim of this book is to present recent ideas in logic centered around the notion of a consequence operation. We wish to show these ideas in a factually and materially connected way, i.e., in the form of a consistent theory derived from several simple assumptions and definitions. These ideas have arisen in many research centers. The thorough study of their history can certainly be an exciting task for the historian of logic; in the book this aspect of the theory is being played down. The book belongs to abstract algebraic logic, the area of research that explores to a large extent interconnections between algebra and logic. The results presented here concern logics defined in zero-order languages (Le., quantifier-free sentential languages without predicate symbols). The reach of the theory expounded in the book is, in fact, much wider. The theory is also valid for logics defined in languages of higer orders. The problem of transferring the theory to the level of first-order languages has been satisfactorily solved and new ideas within this area have been put forward in the work of Blok and Pigozzi [1989]. Buchnummer des Verkäufers APC9780792369400

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Buchbeschreibung Kluwer Academic Publishers, United States, 2001. Hardback. Buchzustand: New. 2001 ed.. 249 x 160 mm. Language: English . Brand New Book ***** Print on Demand *****.The main aim of this book is to present recent ideas in logic centered around the notion of a consequence operation. We wish to show these ideas in a factually and materially connected way, i.e., in the form of a consistent theory derived from several simple assumptions and definitions. These ideas have arisen in many research centers. The thorough study of their history can certainly be an exciting task for the historian of logic; in the book this aspect of the theory is being played down. The book belongs to abstract algebraic logic, the area of research that explores to a large extent interconnections between algebra and logic. The results presented here concern logics defined in zero-order languages (Le., quantifier-free sentential languages without predicate symbols). The reach of the theory expounded in the book is, in fact, much wider. The theory is also valid for logics defined in languages of higer orders. The problem of transferring the theory to the level of first-order languages has been satisfactorily solved and new ideas within this area have been put forward in the work of Blok and Pigozzi [1989]. Buchnummer des Verkäufers APC9780792369400

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Buchbeschreibung Springer, 2001. Hardcover. Buchzustand: New. 2001. This item is printed on demand. Buchnummer des Verkäufers DADAX0792369408

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