Advances in the Design of Symbolic Computation Systems

  • Alfonso Miola
  • Marco Temperini

Part of the Texts and Monographs in Symbolic Computation book series (TEXTSMONOGR)

Table of contents

  1. Front Matter
    Pages i-x
  2. State of the art and motivations

    1. Front Matter
      Pages 1-1
    2. A. Miola
      Pages 21-29
  3. Mathematical objects

  4. Programming methodologies

    1. Front Matter
      Pages 125-125
    2. S. Antoy, P. Forcheri, J. Gannon, M. T. Molfino
      Pages 126-144
    3. P. Di Blasio, M. Temperini
      Pages 164-178
    4. P. Di Blasio, M. Temperini, P. Terlizzi
      Pages 179-195
  5. Reasoning capabilities

    1. Front Matter
      Pages 197-197
    2. G. Cioni, A. Colagrossi, A. Miola
      Pages 198-216
    3. P. Bertoli, G. Cioni, A. Colagrossi, P. Terlizzi
      Pages 217-229
    4. G. Cioni, G. Patrizi, M. Temperini
      Pages 230-244

About this book

Introduction

New methodological aspects related to design and implementation of symbolic computation systems are considered in this volume aiming at integrating such aspects into a homogeneous software environment for scientific computation. The proposed methodology is based on a combination of different techniques: algebraic specification through modular approach and completion algorithms, approximated and exact algebraic computing methods, object-oriented programming paradigm, automated theorem proving through methods à la Hilbert and methods of natural deduction. In particular the proposed treatment of mathematical objects, via techniques for method abstraction, structures classification, and exact representation, the programming methodology which supports the design and implementation issues, and reasoning capabilities supported by the whole framework are described.

Keywords

Action Natural algorithm algorithms classification design programming

Editors and affiliations

  • Alfonso Miola
    • 1
  • Marco Temperini
    • 2
  1. 1.Dipartimento di Informatica e AutomazioneUniversità degli Studi di Roma TreRomeItaly
  2. 2.Dipartimento di Informatica e SistemisticaUniversità degli Studi di Roma “La Sapienza”RomeItaly

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-7091-6531-7
  • Copyright Information Springer-Verlag/Wien 1997
  • Publisher Name Springer, Vienna
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-211-82844-1
  • Online ISBN 978-3-7091-6531-7
  • Series Print ISSN 0943-853X
  • About this book