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#### Frege's Notations

Palgrave Macmillan 2012; US$ 95.00A 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...

#### Bounded Arithmetic, Propositional Logic and Complexity Theory

Cambridge University Press 1995; US$ 152.00 US$ 124.64Discusses the deep connections between logic and complexity theory, and lists a number of intriguing open problems. more...

#### Linear Logic in Computer Science

Cambridge University Press 2004; US$ 116.00 US$ 95.12This book illustrates linear logic in the application of proof theory to computer science. more...

#### Proof Theory

CRC Press 2014; US$ 99.95Although sequent calculi constitute an important category of proof systems, they are not as well known as axiomatic and natural deduction systems. Addressing this deficiency, Proof Theory: Sequent Calculi and Related Formalisms presents a comprehensive treatment of sequent calculi, including a wide range of variations. It focuses on sequent calculi... more...

#### Constructivism in Mathematics, Vol 2

Elsevier Science 2014; US$ 72.95Studies in Logic and the Foundations of Mathematics, Volume 123: Constructivism in Mathematics: An Introduction, Vol. II focuses on various studies in mathematics and logic, including metric spaces, polynomial rings, and Heyting algebras. The publication first takes a look at the topology of metric spaces, algebra, and finite-type arithmetic and... more...

#### The Road to Universal Logic

Springer International Publishing 2015; US$ 67.38This second volume of a collection of papers offers new perspectives and challenges in the study of logic. It is presented in honor of the fiftieth birthday of Jean-Yves Béziau. The papers touch upon a wide range of topics including paraconsistent logic, quantum logic, geometry of oppositions, categorical logic, computational logic, fundamental logic... more...

#### Logic for Concurrency and Synchronisation

Springer Netherlands 2006; US$ 157.24The study of information-based actions and processes has been a vibrant - terface between logic and computer science for several decades now. Indeed, several natural perspectives come together here. On the one hand, logical s- tems may be used to describe the dynamics of arbitrary computational p- cesses ? as in the many sophisticated process logics... more...

#### Le?niewski's Systems of Logic and Foundations of Mathematics

Springer International Publishing 2013; US$ 101.08Offering an expansive critical commentary, this meticulous assessment of the ground-breaking work of the philosopher Stanislaw Le?niewski focuses exclusively on primary texts and explores the full range of work by a master logician of the Lvov-Warsaw school. more...

#### Constructive Negations and Paraconsistency

Springer Netherlands 2008; US$ 168.47This 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...

#### Essays in Constructive Mathematics

Springer New York 2007; US$ 101.08This book aims to promote constructive mathematics not by defining it or formalizing it but by practicing it. This means that its definitions and proofs use finite algorithms, not `algorithms' that require surveying an infinite number of possibilities to determine whether a given condition is met. The topics covered derive from classic works of... more...