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#### Adapting Proofs-as-Programs

Springer 2007; US$ 169.00Details developments in the direction of a practical proofs-as-programs paradigm, which constitutes a set of approaches to developing programs from proofs in constructive logic with applications to industrial-scale, complex software engineering problems. 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...

#### 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...

#### Frege's Notations

Palgrave Macmillan 2012; US$ 90.00A new approach to reading Frege's notations that adheres to the modern view that terms and well-formed formulas are any disjoint syntactic categories. On this new approach, we can at last read Frege's notations in their original form revealing striking new solutions to many of the outstanding problems of interpreting his philosophy. more...

#### Linear Logic in Computer Science

Cambridge University Press 2004; US$ 109.00This book illustrates linear logic in the application of proof theory to computer science. more...

#### Lesniewski's Systems of Logic and Foundations of Mathematics

Springer 2013; US$ 129.00This meticulous critical assessment of the ground-breaking work of philosopher StanislawÂ Lesniewski focuses exclusively on primary texts and explores the full range of output by one of the master logicians of the Lvov-Warsaw school. The authorâ??s nuanced survey eschews secondary commentary, analyzing Lesniewski's core philosophical views and evaluating... more...

#### 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...

#### Lectures on the Curry-Howard Isomorphism

Elsevier Science 2006; US$ 165.00The Curry-Howard isomorphism states an amazing correspondence between systems of formal logic as encountered in proof theory and computational calculi as found in type theory. For instance, minimal propositional logic corresponds to simply typed lambda-calculus, first-order logic corresponds to dependent types, second-order logic corresponds to polymorphic... more...

#### Proof, Logic and Formalization

Taylor and Francis 2005; US$ 155.00The mathematical proof is the most important form of justification in mathematics. It is not, however, the only kind of justification for mathematical propositions. The existence of other forms, some of very significant strength, places a question mark over the prominence given to proof within mathematics. This collection of essays, by leading figures... more...

#### The Proof is in the Pudding

Springer 2011; US$ 49.99This text explores the many transformations that the mathematical proof has undergone from its inception to its versatile, present-day use, considering the advent of high-speed computing machines. Though there are many truths to be discovered in this book, by the end it is clear that there is no formalized approach or standard method of discovery to... more...