
Alasdair Urquhart on Nonclassical and Algebraic Logic and Complexity of Proofs
Springer (Publisher)
Published on 26. September 2022
Book
Paperback/Softback
XIII, 586 pages
978-3-030-71432-1 (ISBN)
Description
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.
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.
More details
Series
Edition
2022 ed.
Language
English
Place of publication
Cham
Switzerland
Publishing group
Springer International Publishing
Target group
Professional and scholarly
Illustrations
61 s/w Abbildungen, 5 farbige Abbildungen
XIII, 586 p. 66 illus., 5 illus. in color.
Dimensions
Height: 235 mm
Width: 155 mm
Thickness: 33 mm
Weight
896 gr
ISBN-13
978-3-030-71432-1 (9783030714321)
DOI
10.1007/978-3-030-71430-7
Schweitzer Classification
Other editions
Additional editions

Ivo Düntsch | Edwin Mares
Alasdair Urquhart on Nonclassical and Algebraic Logic and Complexity of Proofs
Book
09/2021
Springer
€149.79
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Persons
Content
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.