Alasdair Urquhart on nonclassical and algebraic logic and complexity of proofs / Ivo Düntsch, Edwin Mares, editors.
Düntsch, Ivo, editor.; Mares, Edwin David, editor.
2022
QA9.2 .A43 2022
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Title Alasdair Urquhart on nonclassical and algebraic logic and complexity of proofs / Ivo Düntsch, Edwin Mares, editors.
ISBN 9783030714307 (electronic bk.)
3030714306 (electronic bk.)
9783030714291
3030714292
DOI https://doi.org/10.1007/978-3-030-71430-7
Published Cham : Springer, [2022]
Copyright ©2022
Language English
Description 1 online resource : illustrations (some color)
Other Standard Identifiers 10.1007/978-3-030-71430-7 doi
Call Number QA9.2 .A43 2022
Dewey Decimal Classification 511.3
Summary 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.
Access Note Access limited to authorized users.
Source of Description Online resource; title from PDF title page (SpringerLink, viewed October 6, 2021).
Added Author Düntsch, Ivo, editor.
Mares, Edwin David, editor.
Series Outstanding contributions to logic ; volume 22. 2211-2766
Available in Other Form Alasdair Urquhart on nonclassical and algebraic logic and complexity of proofs.
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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.

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