Panoramas et Synthèses 2009; 275 pp; softcover Number: 27 ISBN10: 2856292739 ISBN13: 9782856292730 List Price: US$72 Member Price: US$57.60 Order Code: PASY/27
 This volume contains three contributions in the field of logic and computation that reflect current trends towards an interactive account of the meaning of proofs and programs. The contributions can be read independently and use or introduce fundamental tools in the field: categories, realizability, abstract machines. Throughout the volume, a unifying theme is that of games and strategies, which turns the correspondence between proofs and programs (the socalled CurryHoward isomorphism) into a triangle whose third corner emphasizes interaction and duality between a program and its environment or between a proof and counterproofs. The introduction to the volume places the contributions in perspective and provides a gentle beginner's introduction to the lambdacalculus, which is and remains the backbone of the whole field. A publication of the Société Mathématique de France, Marseilles (SMF), distributed by the AMS in the U.S., Canada, and Mexico. Orders from other countries should be sent to the SMF. Members of the SMF receive a 30% discount from list. Readership Graduate students and research mathematicians interested in logic and foundations. Table of Contents  P.A. Melliès  Categorical semantics of linear logic
 J.L. Krivine  Realizability in classical logic
 P.L. Curien and H. Herbelin  Abstract machines for dialogue games
