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Linking HOL Light to Mathematica using OpenMath

Title:

Linking HOL Light to Mathematica using OpenMath

Seddiki, Ons (2014) Linking HOL Light to Mathematica using OpenMath. Masters thesis, Concordia University.

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Abstract

One of the most important benefits of using a theorem prover system is the absolute accuracy of the obtained result. However, solving mathematical problems
often requires both deductive reasoning and algebraic computation. This issue is due to the fact that many real-life problems can be described with equations for which
we cannot find easily symbolic (or closed-form) solutions and therefore we are not able to formalize them using the theorem prover. In other cases, some applications
require well developed libraries and a deep knowledge of the theories to formalize simple expressions. A straightforward way to overcome these issues is the use of
computer algebra systems or numerical approaches which are known to be the most efficient tools in symbolic computation. However, to preserve the soundness of the
computation, the results of these systems should be formally verified. In this thesis, we present a general architecture to connect HOL Light, a higher-order logic theorem prover, to any mechanized mathematical system that supports the mathematical standard OpenMath. We implemented a prototype, called HolMatica, which links HOL Light to the computer algebra system Mathematica through OpenMath. We
describe our implementation of a HOL Light translator which converts HOL Light statements into OpenMath object and vice-versa.

Divisions:Concordia University > Gina Cody School of Engineering and Computer Science > Electrical and Computer Engineering
Item Type:Thesis (Masters)
Authors:Seddiki, Ons
Institution:Concordia University
Degree Name:M.A. Sc.
Program:Electrical and Computer Engineering
Date:22 August 2014
Thesis Supervisor(s):Tahar, Sofiene
ID Code:978965
Deposited By: ONS SEDDIKI
Deposited On:04 Nov 2014 15:24
Last Modified:18 Jan 2018 17:48
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