Linear logic in computer science by Jean-Yves Girard, Paul Ruet, Philip Scott, Thomas Ehrhard

Linear logic in computer science



Download Linear logic in computer science




Linear logic in computer science Jean-Yves Girard, Paul Ruet, Philip Scott, Thomas Ehrhard
Language: English
Page: 392
Format: djvu
ISBN: 0521608570, 9780521608572
Publisher: CUP

Linear Logic is a branch of proof theory which provides refined tools for the study of the computational aspects of proofs. These tools include a duality-based categorical semantics, an intrinsic graphical representation of proofs, the introduction of well-behaved non-commutative logical connectives, and the concepts of polarity and focalisation. These various aspects are illustrated here through introductory tutorials as well as more specialised contributions, with a particular emphasis on applications to computer science: denotational semantics, lambda-calculus, logic programming and concurrency theory. The volume is rounded-off by two invited contributions on new topics rooted in recent developments of linear logic. The book derives from a summer school that was the climax of the EU Training and Mobility of Researchers project 'Linear Logic in Computer Science'. It is an excellent introduction to some of the most active research topics in the area.

Book Description

The purpose of this book is to illustrate the use of linear logic in the application of proof theory to computer science. It contains tutorials introducing the application of linear logic, as well as advanced contributions on recent trends. It is an excellent introduction to research topics in the area.

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