- Shopping Bag ( 0 items )
This book is for researchers in computer science, mathematical logic, and philosophical logic. It shows the state of the art in current investigations of process calculi with mainly two major paradigms at work: linear logic and modal logic. The combination of approaches and pointers for further integration also suggests a grander vision for the field.
List of Figures. List of Tables.
Foreword; J. van Benthem. Preface. Contributing Authors.
I: From a Structural Perspective. 1. Geometry of Deduction via Graphs of Proofs; A. Grisi de Oliveira, R.J.B.G. Queiroz. 1. Motivation. 2. The idea of stuying proofs as geometric objects. 3. Proof-nets. 4. Logical flow graphs. 5. Multiple-conclusion classical calculi. 6. Finale. 2. Chu's Construction: A Proof-Theoretic Approach; G. Bellin. 1. Preface. 2. The trip translation. 3. Chu's construction. 4. Proof-nets, trips and translations. 3. Two Paradigms of Logical Computation in Affine Logic? G. Bellin. 1. Introduction. 2. Sequent calculus of MAL + Mix. 3. Additive mix. 4. Proof-nets for MAL + Mix. 5. Cut-elimination modulo irrelevance. 6. Symmetric reductions require Mix. 4. Proof Systems for pi-Calculus Logics; M. Dam. 1. Introduction. 2. Preliminaries on the pi-calculus. 3. A pi-mu-calculus. 4. Example specifications. 5. Proof system, modal fragment. 6. Soundness and completeness for the modal fragment. 7. Proof rules for recursive formulas. 8. Finite control completeness. 9. Natural numbers. 10. Buffers. 11. Conclusion.
II: From a Descriptive Perspective. 5. A Tutorial Introduction to Symbolic Model Checking; D. Déharbe. 1. Introduction. 2. Kripke structures. 3. Temporal logic model checking. 4. Symbolic model checking. 5. Loopless undirected graphs. 6. Modal definability. 7. k-Colourable graphs. 8. Conclusions. 7. Bisimulation and Language Equivalence; C. Stirling. 1. Introduction. 2. Background. 3. Caucal's hierarchy. 4. Richer logics. 5. Finite model theory.