Proof Theory of Modal Logic is devoted to a thorough study of proof systems for modal logics, that is, logics of necessity, possibility, knowledge, belief, time, computations etc. It contains many new technical results and presentations of novel proof procedures. The volume is of immense importance for the interdisciplinary fields of logic, knowledge representation, and automated deduction.
Linear logic, introduced in 1986 by J.-Y. Girard, is based upon a fine grain analysis of the main proof-theoretical notions of logic. The subject develops along the lines of denotational semantics, proof nets and the geometry of interaction. Its basic dynamical nature has attracted computer scientists, and various promising connections have been made in the areas of optimal program execution, interaction nets and knowledge representation. This book is the refereed proceedings of the first international meeting on linear (...) class='Hi'>logic held at Cornell University, in June 1993. Survey papers devoted to specific areas of linear logic, as well as an extensive general introduction to the subject by J.-Y. Girard, have been added, so as to make this book a valuable tool both for the beginner and for the advanced researcher. (shrink)
Together, Models and Computability and its sister volume Sets and Proofs will provide readers with a comprehensive guide to the current state of mathematical logic. All the authors are leaders in their fields and are drawn from the invited speakers at 'Logic Colloquium '97' (the major international meeting of the Association of Symbolic Logic). It is expected that the breadth and timeliness of these two volumes will prove an invaluable and unique resource for specialists, post-graduate researchers, and (...) the informed and interested nonspecialist. (shrink)
The International Union of History and Philosophy of Science organizing the 10th International Congress of Logic, Methodology and Philosophy of Science is at its cross-road: the alternative is mass-performance or creative exchange of ideas. The program is criticized because the thematic center in History and Philosophy of Science has been shifted too far into the realm of micro-fields of Logic and the time reduction for presentation and discussion of papers to 20 minutes should be reconsidered. Several outstanding papers (...) are shortly discussed: Martin-Löw on "Formalized Tarski-Semantics of Type Theory", Hoyningen-Huene on "Feyerabend and Kuhn", Leroux on "Helmholtz and Hertz", and Muller on "Bell meets Dirac". Finally the visiting-program is gratefully appreciated. (shrink)