Advances in the design of symbolic computation systems

Considers methodological aspects related to design and implementation of symbolic computation systems. This volume describes the proposed treatment of mathematical objects, via techniques for method abstraction, structures classification, and exact representation, the programming methodology which s...

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Bibliographic Details
Other Authors: Miola, A. (Alfonso) 1944-, Temperini, M. (Marco)
Format: Book
Language:English
Published: Linz Springer Wein 1997
Series:Texts and monographs in symbolic computation
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Table of Contents:
  • State of the art and motivations.- Mathematica: doing mathematics by computer?.- An overview of the TASSO project.- Mathematical objects.- The uniform representation of mathematical objects by truncated power series.- p-adic arithmetic: a tool for error-free computations.- Exact solution of computational problems via parallel truncated p-adic arithmetic.
  • A canonical form guide to symbolic summation.
  • Indexes in sums and series: from formal definition to object-oriented implementation.
  • Programming methodologies.
  • Equational specifications: design, implementation, and reasoning.
  • On the algebraic specification of classes and inheritance in object-oriented programming.
  • On subtyping in languages for symbolic computation systems.
  • Enhanced strict inheritance in TASSO-L.
  • Reasoning capabilities.
  • Deduction and abduction using a sequent calculus.
  • A sequent calculus machine for symbolic computation systems.
  • Automated deduction by connection method in an object-oriented environment.
  • A general reasoning apparatus for intelligent tutoring systems in mathematics.