Alasdair Urquhart on Nonclassical and Algebraic Logic and Complexity of Proofs

Edwin Mares

ISBN 10: 3030714322 / ISBN 13: 9783030714321

Published by Springer International Publishing Sep 2022, 2022

About this Item

This item is printed on demand - it takes 3-4 days longer - Neuware -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, hehas 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. 600 pp. Englisch.

Seller Inventory # 9783030714321

Bibliographic Details

• Title: Alasdair Urquhart on Nonclassical and Algebraic Logic and Complexity of Proofs
• Publisher: Springer International Publishing Sep 2022
• Publication Date: 2022
• Language: English
• ISBN 10: 3030714322
• ISBN 13: 9783030714321
• Binding: Taschenbuch
• Condition: Neu
• Dimensions: 235W x 155H x 33D millimeters 235 millimeters width by 155 millimeters height by 33 millimeters depth
• Weight: 896 grams

About this title

Synopsis

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, hehas 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.

About the Author