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Apartness and Uniformity
Springer 2011; US$ 79.99This book presents a theory of apartness encompassing both point-set topology and the theory of uniform spaces. The first book on the apartness approach to constructive topology, it is a valuable addition to the literature on topology in computer science. more...
Bounded Arithmetic, Propositional Logic and Complexity Theory
Cambridge University Press 1995; US$ 134.00Discusses the deep connections between logic and complexity theory, and lists a number of intriguing open problems. more...
Constructive Negations and Paraconsistency
Springer 2008; US$ 189.99This book presents the author's recent investigations of the two main concepts of negation developed in the constructive logic: the negation as reduction to absurdity (L.E.J. Brouwer) and the strong negation (D. Nelson) are studied in the setting of paraconsistent logic.The paraconsistent logics are those, which admit inconsistent but non-trivial... more...
Essays in Constructive Mathematics
Springer 2007; US$ 69.99This book aims to promote constructive mathematics not by defining it or formalizing it but by practicing it. This means that its definitions and proofs use finite algorithms, not `algorithms' that require surveying an infinite number of possibilities to determine whether a given condition is met. The topics covered derive from classic works of... more...
Varieties of Constructive Mathematics
Cambridge University Press 1987; US$ 45.00This is an introduction to, and survey of, the constructive approaches to pure mathematics. more...
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