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Relations and Kleene Algebra in Computer Science

11th International Conference on Relational Methods in Computer Science, RelMiCS 2009, and 6th International Conference on Applications of Kleene Algebra, AKA 2009, Doha, Qatar, November 1-5, 2009, Proceedings

  • Conference proceedings
  • © 2009

Overview

Editors:
  1. Rudolf Berghammer

    1. Institut für Informatik, Christian-Albrechts-Universität zu Kiel, Kiel, Germany

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  2. Ali Mohamed Jaoua

    1. College of Engineering, Qatar University, Doha,  

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    You can also search for this editor in PubMed   Google Scholar

  3. Bernhard Möller

    1. Institut für Informatik, Universität Augsburg, Augsburg, Germany

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Part of the book series: Lecture Notes in Computer Science (LNCS, volume 5827)

Part of the book sub series: Theoretical Computer Science and General Issues (LNTCS)

Included in the following conference series:

Conference proceedings info: RelMiCS 2009.

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Table of contents (24 papers)

  1. Front Matter

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  2. Knowledge and Structure in Social Algorithms

    • Rohit Parikh
    Pages 1-12

  3. Computational Social Choice Using Relation Algebra and RelView

    • Harrie de Swart, Rudolf Berghammer, Agnieszka Rusinowska
    Pages 13-28

  4. A Model of Internet Routing Using Semi-modules

    • John N. Billings, Timothy G. Griffin
    Pages 29-43

  5. Visibly Pushdown Kleene Algebra and Its Use in Interprocedural Analysis of (Mutually) Recursive Programs

    • Claude Bolduc, Béchir Ktari
    Pages 44-58

  6. Towards Algebraic Separation Logic

    • Han-Hing Dang, Peter Höfner, Bernhard Möller
    Pages 59-72

  7. Domain and Antidomain Semigroups

    • Jules Desharnais, Peter Jipsen, Georg Struth
    Pages 73-87

  8. Composing Partially Ordered Monads

    • Patrik Eklund, Robert Helgesson
    Pages 88-102

  9. A Relation-Algebraic Approach to Liveness of Place/Transition Nets

    • Alexander Fronk, Rudolf Berghammer
    Pages 103-118

  10. ∗-Continuous Idempotent Left Semirings and Their Ideal Completion

    • Hitoshi Furusawa, Fumiya Sanda
    Pages 119-133

  11. A Semiring Approach to Equivalences, Bisimulations and Control

    • Roland Glück, Bernhard Möller, Michel Sintzoff
    Pages 134-149

  12. General Correctness Algebra

    • Walter Guttmann
    Pages 150-165

  13. Foundations of Concurrent Kleene Algebra

    • C. A. R. Hoare, Bernhard Möller, Georg Struth, Ian Wehrman
    Pages 166-186

  14. Armstrong’s Inference Rules in Dedekind Categories

    • Toshikazu Ishida, Kazumasa Honda, Yasuo Kawahara
    Pages 187-198

  15. Data Mining, Reasoning and Incremental Information Retrieval through Non Enlargeable Rectangular Relation Coverage

    • Ali Jaoua, Rehab Duwairi, Samir Elloumi, Sadok Ben Yahia
    Pages 199-210

  16. Collagories for Relational Adhesive Rewriting

    • Wolfram Kahl
    Pages 211-226

  17. Cardinal Addition in Distributive Allegories

    • Yasuo Kawahara, Michael Winter
    Pages 227-241

  18. Relational Methods in the Analysis of While Loops: Observations of Versatility

    • Asma Louhichi, Olfa Mraihi, Lamia Labed Jilani, Khaled Bsaies, Ali Mili
    Pages 242-259

  19. Modalities, Relations, and Learning

    • Martin Eric Müller
    Pages 260-275

  20. The Cube of Kleene Algebras and the Triangular Prism of Multirelations

    • Koki Nishizawa, Norihiro Tsumagari, Hitoshi Furusawa
    Pages 276-290
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Keywords

About this book

The book constitutes the joint refereed proceedings of the 11th International Conference on Relational Methods in Computer Science, RelMiCS 2009, and the 6th International Conference on Applications of Kleene Algebras, AKA 2009, held in Doha, Qatar in November 2009. The 22 revised full papers presented together with 2 invited papers were carefully reviewed and selected from numerous submissions. The papers describe the calculus of relations and similar algebraic formalisms as methodological and conceptual tools with special focus on formal methods for software engineering, logics of programs and links to neighbouring disciplines. Their scope comprises relation relation algebras and Kleene algebras, related formalisms such as process algebras, fixed point calculi, idempotent semirings, quantales, allegories, dynamic algebras, cylindric algebras and their applications in areas such as verification, analysis and development of programs and algorithms relational formal methods such as B or Z, tabular methods, algebraic approaches to logics of programs, modal and dynamic logics, interval and temporal logics, algebraic semantics of programming languages , graph theory and combinatorial optimization, games, automata and language theory, mechanised and automated reasoning, decision procedures, spatio-temporal reasoning, knowledge acquisition, preference and scaling methods or information systems.

Editors and Affiliations

  • Institut für Informatik, Christian-Albrechts-Universität zu Kiel, Kiel, Germany

    Rudolf Berghammer

  • College of Engineering, Qatar University, Doha,  

    Ali Mohamed Jaoua

  • Institut für Informatik, Universität Augsburg, Augsburg, Germany

    Bernhard Möller

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