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Titlebook: Alasdair Urquhart on Nonclassical and Algebraic Logic and Complexity of Proofs; Ivo Düntsch,Edwin Mares Book 2022 Springer Nature Switzerl

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發(fā)表于 2025-3-21 16:11:09 | 只看該作者 |倒序瀏覽 |閱讀模式
期刊全稱Alasdair Urquhart on Nonclassical and Algebraic Logic and Complexity of Proofs
影響因子2023Ivo Düntsch,Edwin Mares
視頻videohttp://file.papertrans.cn/153/152237/152237.mp4
發(fā)行地址Celebrates the important work and career of Alasdair Urquhart.Brings together authors from Europe and North America.Contains original papers and responses
學科分類Outstanding Contributions to Logic
圖書封面Titlebook: Alasdair Urquhart on Nonclassical and Algebraic Logic and Complexity of Proofs;  Ivo Düntsch,Edwin Mares Book 2022 Springer Nature Switzerl
影響因子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 Russe
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https://doi.org/10.1007/978-981-16-9368-7to finitely many variables, presented by Tarski and Givant their book, ., and summarized in the first nine sections. . is closely related to the well-known logic .. Every formula of relevance logic has a corresponding sentence in Tarski’s extended first-order logic of binary relations with operators
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State-of-the-Art DCN Topologiesof relevance logics with respect to their standard Routley–Meyer relational semantics. We develop the non-deterministic algorithmic procedure . for computing first-order equivalents of formulae of the language ., in terms of that semantics. . is an adaptation of the previously developed algorithmic
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https://doi.org/10.1007/978-3-319-01949-9ing toolkit, or just ’the toolkit’ for short. It is clear that the toolkit is tightly connected to logic in a variety of ways. Beall, for example, has argued that logic just is the toolkit. This paper avoids making a stand on that issue and instead investigates reasons for thinking that, logic or no
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