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Adapting Proofs-as-Programs
Springer 2007; US$ 94.99Details 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...
Applied Proof Theory
Springer 2008; US$ 79.99This is the first treatment in book format of proof-theoretic transformations - known as proof interpretations - that focuses on applications to ordinary mathematics. It covers both the necessary logical machinery behind the proof interpretations that are used in recent applications as well as - via extended case studies - carrying out some of these... more...
Around and Beyond the Square of Opposition
Springer 2012; US$ 69.99aiThe 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...
A Framework for Priority Arguments
Cambridge University Press 2010; US$ 68.00This book presents a unifying framework for using priority arguments to prove theorems in computability. more...
Frege's Notations
Palgrave Macmillan 2012; US$ 85.00A faithful reading of Frege's ideographic notations makes terms and well-formed formulas disjoint categories. Where ? is a function term, ?? is a well-formed formula. We can at last read Frege in the original. And when we do, new solutions to the many problems of interpreting his philosophy are revealed. more...
Handbook of Proof Theory
Elsevier Science 1998; US$ 182.00This 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...
Learning to Reason
Wiley 2011; US$ 174.00Learn how to develop your reasoning skills and how to write well-reasoned proofs Learning to Reason shows you how to use the basic elements of mathematical language to develop highly sophisticated, logical reasoning skills. You'll get clear, concise, easy-to-follow instructions on the process of writing proofs, including the necessary reasoning techniques... more...
Lectures on the Curry-Howard Isomorphism
Elsevier Science 2006; US$ 160.00The 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...
Linear Logic in Computer Science
Cambridge University Press 2004; US$ 108.00This book illustrates linear logic in the application of proof theory to computer science. more...
Logic in algebraic form
Elsevier Science 2000; US$ 250.00Provability, Computability and Reflection more...
