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Alasdair Urquhart on Nonclassical and Algebraic Logic and Complexity of Proofs

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Alasdair Urquhart on Nonclassical and Algebraic Logic and Complexity of Proofs/ edited by Ivo Düntsch, Edwin Mares.
其他作者:	Mares, Edwin.
面頁冊數:	XIII, 586 p. 66 illus., 5 illus. in color.online resource. :
Contained By:	Springer Nature eBook
標題:	Mathematical Logic and Foundations. -
電子資源:	https://doi.org/10.1007/978-3-030-71430-7
ISBN:	9783030714307

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 Düntsch, Edwin Mares. - 1st ed. 2022. - XIII, 586 p. 66 illus., 5 illus. in color.online resource. - Outstanding Contributions to Logic,222211-2766 ;. - Outstanding Contributions to Logic,7.

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

Standard No.: 10.1007/978-3-030-71430-7doiSubjects--Topical Terms:

669393
Mathematical Logic and Foundations.

LC Class. No.: BC1-199

Dewey Class. No.: 160

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