Logic for Concurrency and Synchronisation

1. Front Matter

   Pages i-xxi

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2. From a Structural Perspective

   1. Geometry of Deduction Via Graphs of Proofs

      • Anjolina Grisi de Oliveira, Ruy J. G. B. de Queiroz

      Pages 3-88

   2. Chu’s Construction: A Proof-Theoretic Approach

      • Gianluigi Bellin

      Pages 89-109

   3. Two Paradigms of Logical Computation in Affine Logic?

      • Gianluigi Bellin

      Pages 111-144

   4. Proof Systems for π-Calculus Logics

      • Mads Dam

      Pages 145-212

3. From a Descriptive Perspective

   1. A Tutorial Introduction to Symbolic Model Checking

      • David Déharbe

      Pages 215-237

   2. Modal Logics for Finite Graphs

      • Mario R. F. Benevides

      Pages 239-267

   3. Bisimulation and Language Equivalence

      • Colin Stirling

      Pages 269-284

4. Back Matter

   Pages 285-285

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The study of information-based actions and processes has been a vibrant - terface between logic and computer science for several decades now. Indeed, several natural perspectives come together here. On the one hand, logical s- tems may be used to describe the dynamics of arbitrary computational p- cesses – as in the many sophisticated process logics available today. But also, key logical notions such as model checking or proof search are themselves informational processes involving agents with goals. The interplay between these descriptive and dynamic aspects shows even in our ordinary language. A word like “proof” hdenotes both a static ‘certificate’ of truth, and an activity which humans or machines engage in. Increasing our understanding of l- ics of this sort tells us something about computer science, and about cognitive actions in general. The individual chapters of this book show the state of the art in current - vestigations of process calculi such as linear logic, and – with mainly two major paradigms at work, namely, linear logic and modal logic. These techniques are applied to the title themes of concurrency and synchronisation, but there are also many repercussions for topics such as the geometry of proofs, categorial semantics, and logics of graphs. Viewed - gether, the chapters also offer exciting glimpses of future integration, as the reader moves back and forth through the book.

• Bisimulation
• computer
• logic
• mathematical logic
• modal logic
• model theory
• proof theory

• Universidade Federal de Pernambuco, Recife, Brazil

  Ruy J. G. B. Queiroz

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