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Combinatory logic

  • Computable Structures and the Hyperarithmetical Hierarchyby C.J. Ash; J. Knight

    Elsevier Science 2000; US$ 133.00

    This book describes a program of research in computable structure theory. The goal is to find definability conditions corresponding to bounds on complexity which persist under isomorphism. The results apply to familiar kinds of structures (groups, fields, vector spaces, linear orderings Boolean algebras, Abelian p-groups, models of arithmetic). There... more...

  • Tracking Reasonby Jody Azzouni

    Oxford University Press 2006; US$ 23.99

    When ordinary people - mathematicians among them - take something to follow (deductively) from something else, they are exposing the backbone of our self-ascribed ability to reason. This book investigates the connection between that ordinary notion of consequence and the formal analogues invented by logicians. more...

  • The Lambda Calculusby H.P. Barendregt

    Elsevier 1985; US$ 133.00

    The revised edition contains a new chapter which provides an elegant description of the semantics. The various classes of lambda calculus models are described in a uniform manner. Some didactical improvements have been made to this edition. An example of a simple model is given and then the general theory (of categorical models) is developed. Indications... more...

  • The Moment of Proofby Donald C. Benson

    Oxford University Press, USA 2000; US$ 22.99

    When Archimedes, while bathing, suddenly hit upon the principle of buoyancy, he ran wildly through the streets of Syracuse, stark naked, crying "eureka!" In The Moment of Proof, Donald Benson attempts to convey to general readers the feeling of eureka--the joy of discovery--that mathematicians feel when they first encounter an elegant proof.... more...

  • Computability and Logicby George S. Boolos; John P. Burgess; Richard C. Jeffrey

    Cambridge University Press 2007; US$ 27.00

    Computability and Logic is a classic because of its accessibility to students without a mathematical background. more...

  • Computability and Logicby George S. Boolos; John P. Burgess; Richard C. Jeffrey

    Cambridge University Press 2002; US$ 28.00

    Now in its fourth edition, this book has become a classic because it covers not simply the staple topics of intermediate logic courses but also a large number of other topics. John Burgess has enhanced the book by adding problems at the end of each chapter and by rewriting chapters. more...

  • Apartness and Uniformityby D. S. Bridges; Luminita Simona Vîta

    Springer 2011; US$ 79.99

    This 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...

  • Varieties of Constructive Mathematicsby Douglas Bridges; Fred Richman

    Cambridge University Press 1987; US$ 45.00

    This is an introduction to, and survey of, the constructive approaches to pure mathematics. more...

  • Handbook of Proof Theoryby S.R. Buss

    Elsevier Science 1998; US$ 182.00

    This volume contains articles covering a broad spectrum of proof theory, with an emphasis on its mathematical aspects. The articles should not only be interesting to specialists of proof theory, but should also be accessible to a diverse audience, including logicians, mathematicians, computer scientists and philosophers. Many of the central topics... more...

  • Around and Beyond the Square of Oppositionby Jean-Yves Béziau; Dale Jacquette

    Springer 2012; US$ 69.99

    aiThe theory of oppositions based on Aristotelian foundations of logic has been pictured in a striking square diagram which can be understood and applied in many different ways having repercussions in various fields: epistemology, linguistics, mathematics, psychology. The square can also be generalized in other two-dimensional or multi-dimensional... more...