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Alasdair Urquhart on Nonclassical and Algebraic Logic and Complexity of Proofs (Paperback, 1st ed. 2022)
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Alasdair Urquhart on Nonclassical and Algebraic Logic and Complexity of Proofs (Paperback, 1st ed. 2022)
Series: Outstanding Contributions to Logic, 22
Expected to ship within 10 - 15 working days
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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.
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