Linear logic in computer science

Description

This book illustrates linear logic in the application of proof theory to computer science.

Description

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.

Subjects

Series Statement

• London Mathematical Society lecture note series ;

Other Editions

• Linear logic in computer scienceCambridge University Press2004-01-01
• Linear Logic in Computer ScienceCambridge University Press2004-01-01
• Linear Logic in Computer ScienceCambridge University Press2010-01-01
• Linear Logic in Computer ScienceCambridge University Press2011-01-01