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#### Computable Structures and the Hyperarithmetical Hierarchy

Elsevier Science 2000; US$ 175.00This 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...

#### Algorithms and Complexity

World Scientific Publishing Company 1990; US$ 67.00This proceedings contains contributions on topics such as the models of computation, analysis and design of sequential and parallel algorithms, data structures and their applications, approximating algorithms and probabilistic analysis, and computational complexity. Contents: Analysis and Implementation of Parallel Uniform Hashing (F Luccio et al);... more...

#### Tracking Reason

Oxford University Press 2006; US$ 27.99When 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 Calculus

Elsevier Science 2013; 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...

#### Around and Beyond the Square of Opposition

Springer Basel 2012; US$ 89.95This book collects previously unpublished papers exploring the theory of oppositions based on Aristotelian foundations of logic, reflecting renewed interest and challenging re-interpretations which extend the original theory in breadth and depth. more...

#### Computability and Logic

Cambridge University Press 1753; US$ 28.00Now in its fourth edition, this book on logic has been enhanced and rewritten. 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...

#### Varieties of Constructive Mathematics

Cambridge University Press 1987; US$ 52.00This is an introduction to, and survey of, the constructive approaches to pure mathematics. more...

#### Apartness and Uniformity

Springer Berlin Heidelberg 2011; US$ 149.00This 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...