Advances in The Design of Symbolic Computation Systems by Alfonso MiolaAdvances in The Design of Symbolic Computation Systems by Alfonso Miola

Advances in The Design of Symbolic Computation Systems

EditorAlfonso Miola, Marco Temperini

Paperback | March 27, 1997

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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.
Title:Advances in The Design of Symbolic Computation SystemsFormat:PaperbackDimensions:286 pagesPublished:March 27, 1997Publisher:Springer Vienna

The following ISBNs are associated with this title:

ISBN - 10:3211828443

ISBN - 13:9783211828441

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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.