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Advances in the Design of Symbolic Computation Systems : Wiener Studien - Alfonso Miola

Advances in the Design of Symbolic Computation Systems

Wiener Studien

By: Alfonso Miola (Editor), Marco Temperini (Editor)

Paperback Published: 27th March 1997
ISBN: 9783211828441
Number Of Pages: 276

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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.

List of contributors
Mathematica: doing mathematics by computer?p. 2
An overview of the TASSO projectp. 21
The uniform representation of mathematical objects by truncated power seriesp. 32
p-adic arithmetic: a tool for error-free computationsp. 53
Exact solution of computational problems via parallel truncated p-adic arithmeticp. 68
A canonical form guide to symbolic summationp. 84
Indexes in sums and series: from formal definition to object-oriented implementationp. 111
Equational specifications: design, implementation, and reasoningp. 126
On the algebraic specification of classes and inheritance in object-oriented programmingp. 145
On subtyping in languages for symbolic computation systemsp. 164
Enhanced strict inheritance in TASSO-Lp. 179
Deduction and abduction using a sequent calculusp. 198
A sequent calculus machine for symbolic computation systemsp. 217
Automated deduction by connection method in an object-oriented environmentp. 230
A general reasoning apparatus for intelligent tutoring systems in mathematicsp. 245
Subject indexp. 257
Table of Contents provided by Blackwell. All Rights Reserved.

ISBN: 9783211828441
ISBN-10: 3211828443
Series: Wiener Studien
Audience: General
Format: Paperback
Language: English
Number Of Pages: 276
Published: 27th March 1997
Publisher: SPRINGER VERLAG GMBH
Country of Publication: AT
Dimensions (cm): 23.39 x 15.6  x 1.47
Weight (kg): 0.39