Linear logic in computer science
By: edited by Thomas Ehrhard ... [et al.].
Contributors: Ehrhard, Thomas, 1958-
Series: London Mathematical Society lecture note series ;; 316
Publisher: Cambridge University Press
Published: 2004
Place of publication: Cambridge, UK; New York
Language: eng
Number of pages: 381
Subjects: Proof theory.; Logic, Symbolic and mathematical.; Computer science -- Mathematics.
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.
Notes: Includes bibliographical references.