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#### Handbook of Proof Theory

Elsevier Science 1998; US$ 235.00This 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...

#### Computability and Logic

Cambridge University Press 2007; US$ 28.00Computability and Logic is a classic because of its accessibility to students without a mathematical background. This fifth edition was first published in 2007. more...

#### How to Think About Algorithms

Cambridge University Press 2008; US$ 40.00Textbook that teaches students how to think about algorithms like an expert, without getting bogged down in formal proof. more...

#### Constructive Negations and Paraconsistency

Springer 2008; US$ 239.00This 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...

#### Computability, Complexity, Logic

Elsevier Science 1989; US$ 72.95The theme of this book is formed by a pair of concepts: the concept of formal language as carrier of the precise expression of meaning, facts and problems, and the concept of algorithm or calculus, i.e. a formally operating procedure for the solution of precisely described questions and problems. The book is a unified introduction to the modern theory... more...

#### The Lambda Calculus

Elsevier Science 1985; US$ 133.00The 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 Proof

Oxford University Press, USA 2000; US$ 22.99When 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...

#### The LLL Algorithm

Springer 2010; US$ 209.00The first book to offer a comprehensive view of the LLL algorithm, this text surveys computational aspects of Euclidean lattices and their main applications. It includes many detailed motivations, explanations and examples. more...

#### Logic and Computation

Cambridge University Press 1987; US$ 60.00This book is concerned with techniques for formal theorem-proving, with particular reference to Cambridge LCF (Logic for Computable Functions). Cambridge LCF is a computer program for reasoning about computation. It combines the methods of mathematical logic with domain theory, the basis of the denotational approach to specifying the meaning of program... more...

#### A Transition to Abstract Mathematics

Elsevier Science 2008; US$ 89.95Constructing concise and correct proofs is one of the most challenging aspects of learning to work with advanced mathematics. Meeting this challenge is a defining moment for those considering a career in mathematics or related fields. Mathematical Thinking and Writing teaches readers to construct proofs and communicate with the precision necessary... more...