Linear Logic in Computer Science (London Mathematical Society Lecture Note Series)

Ehrhard, Thomas

Softcover

ISBN 10: 0521608570 ISBN 13: 9780521608572

Publisher: Cambridge University Press, 2004

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.