Automated Practical Reasoning

1. Front Matter

   Pages i-xi

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2. Introduction

   • Jochen Pfalzgraf, Dongming Wang

   Pages 1-5

3. An Algorithm for Solving Systems of Algebraic Equations in Three Variables

   • Michael Kalkbrener

   Pages 7-37

4. On a General Notion of a Hull

   • Jochen Pfalzgraf

   Pages 39-51

5. On Robotics Scenarios and Modeling with Fibered Structures

   • Jochen Pfalzgraf, Karel Stokkermans

   Pages 53-80

6. On Algorithmic Parametrization Methods in Algebraic Geometry

   • Josef Schicho

   Pages 81-89

7. Towards a Categorical Calculus for Critical-Pair/Completion

   • Karel Stokkermans

   Pages 91-124

8. CASA: Computer Algebra Software for Computing with Algebraic Sets

   • Bernhard Wall

   Pages 125-146

9. Reasoning about Geometric Problems using an Elimination Method

   • Dongming Wang

   Pages 147-185

10. An Implementation of the Characteristic Set Method in Maple

    • Dongming Wang

    Pages 187-201

11. A Nonmonotonic Extension to Horn-Clause Logic

    • Thomas J. Weigert

    Pages 203-220

12. Back Matter

    Pages 221-227

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This book is a collection of selected papers written by researchers qf our "RISC" institute (Research Institute for Symbolic Computation) along with the ESPRIT MEDLAR Project (Mechanizing Deduction in the Logics of Practical Reason­ ing). Naturally, the MEDLAR Project was and is the focal point for our institute whose main objective is the combination of foundational research in the area of symbolic computation and possible applications thereof for high-tech industrial projects. I am grateful to the director of the MEDLAR project, Jim Cunningham, for his enthusiasm, profound expertise, and continuous effort to manage a fruitful cooperation between various European working groups in the area of the project and for giving us the opportunity to be part of this challenging endeavor. I also acknowledge and feel indebted to Jochen Pfalzgraf for managing the RISC part of the MEDLAR project and to both him and Dongming Wang for editing this volume and organizing the refereeing process.

• Reasoning
• algorithm
• algorithms
• computer
• computer algebra
• geometry
• logic
• modeling
• proving
• robot
• robotics
• theorem proving

• Research Institute for Symbolic Computation, Johannes-Kepler-University Linz, Linz, Austria

  Jochen Pfalzgraf

• Laboratoire d’Informatique Fondamentale et d’Intelligence Artificielle, Institut National Polytechnique de Grenoble, Grenoble, France

  Dongming Wang

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