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Alasdair Urquhart on nonclassical and algebraic logic and complexity of proofs

Record Type:	Electronic resources : Monograph/item
Title/Author:	Alasdair Urquhart on nonclassical and algebraic logic and complexity of proofsedited by Ivo Duntsch, Edwin Mares.
other author:	Duntsch, Ivo.
Published:	Cham :Springer International Publishing :2022.
Description:	xiii, 586 p. :ill. (some col.), digital ;24 cm.
Contained By:	Springer Nature eBook
Subject:	Logic, Symbolic and mathematical.
Online resource:	https://doi.org/10.1007/978-3-030-71430-7
ISBN:	9783030714307$q(electronic bk.)

Alasdair Urquhart on nonclassical and algebraic logic and complexity of proofs
Alasdair Urquhart on nonclassical and algebraic logic and complexity of proofs[electronic resource] /edited by Ivo Duntsch, Edwin Mares. - Cham :Springer International Publishing :2022. - xiii, 586 p. :ill. (some col.), digital ;24 cm. - Outstanding contributions to logic,v. 222211-2766 ;. - Outstanding contributions to logic ;v.3..

Part 1: Introduction -- Chapter 1. Brief introduction by the editors -- Chapter2. Overview of Urquhart's work -- Chapter 3. Autobiographical Essay by Urquhart -- Part 2: Papers on algebraic logic and lattice theory -- Part 3: Papers on the complexity of proofs -- Part 4: Papers on philosophical logic and papers on history of logic -- Part 5: A response to the papers by Urquhart.

This book is dedicated to the work of Alasdair Urquhart. The book starts out with an introduction to and an overview of Urquhart's work, and an autobiographical essay by Urquhart. This introductory section is followed by papers on algebraic logic and lattice theory, papers on the complexity of proofs, and papers on philosophical logic and history of logic. The final section of the book contains a response to the papers by Urquhart. Alasdair Urquhart has made extremely important contributions to a variety of fields in logic. He produced some of the earliest work on the semantics of relevant logic. He provided the undecidability of the logics R (of relevant implication) and E (of relevant entailment), as well as some of their close neighbors. He proved that interpolation fails in some of those systems. Urquhart has done very important work in complexity theory, both about the complexity of proofs in classical and some nonclassical logics. In pure algebra, he has produced a representation theorem for lattices and some rather beautiful duality theorems. In addition, he has done important work in the history of logic, especially on Bertrand Russell, including editing Volume four of Russell's Collected Papers.

ISBN: 9783030714307$q(electronic bk.)

Standard No.: 10.1007/978-3-030-71430-7doiSubjects--Personal Names:

918256
Urquhart, Alasdair.
Subjects--Topical Terms:

180452
Logic, Symbolic and mathematical.

LC Class. No.: QA9.2 / .A43 2022

Dewey Class. No.: 511.3

Alasdair Urquhart on nonclassical and algebraic logic and complexity of proofs
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520 $a This book is dedicated to the work of Alasdair Urquhart. The book starts out with an introduction to and an overview of Urquhart's work, and an autobiographical essay by Urquhart. This introductory section is followed by papers on algebraic logic and lattice theory, papers on the complexity of proofs, and papers on philosophical logic and history of logic. The final section of the book contains a response to the papers by Urquhart. Alasdair Urquhart has made extremely important contributions to a variety of fields in logic. He produced some of the earliest work on the semantics of relevant logic. He provided the undecidability of the logics R (of relevant implication) and E (of relevant entailment), as well as some of their close neighbors. He proved that interpolation fails in some of those systems. Urquhart has done very important work in complexity theory, both about the complexity of proofs in classical and some nonclassical logics. In pure algebra, he has produced a representation theorem for lattices and some rather beautiful duality theorems. In addition, he has done important work in the history of logic, especially on Bertrand Russell, including editing Volume four of Russell's Collected Papers.
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