Specification and integration of theorem provers and computer algebra systems

• Autorzy: Bertoli P.G. , Calmet J. , Giunchiglia F. , Homann K.
• Języki publikacji: EN

Abstrakty

EN

Computer algebra systems (CASs) and automated theorem provers (ATPs) exhibit complementary abilities. CASs focus on efficiently solving domain-specific problems. ATPs are designed to allow for the formalization and solution of wide classes of problems within some logical framework. Integrating CASs and ATPs allows for the solution of problems of a higher complexity than those confronted by each class alone. However, most experiments conducted so far followed an ad-hoc approach, resulting in solutions tailored to specific problems. A structured and principled approach is necessary to allow for the sound integration of systems in a modular way. The Open Mechanized Reasoning Systems (OMRS) framework was introduced for the specification and implementation of mechanized reasoning systems, e.g. ATPs. In this paper, we introduce a generalization of OMRS, named OMSCS (Open Mechanized Symbolic Computation Systems). We show how OMSCS can be used to soundly express CASs, ATPs, and their integration, by formalizing a combination between the Isabelle prover and the Maple algebra system. We show how the integrated system solves a problem which could not be tackled by each single system alone.

Słowa kluczowe

EN

computer algebra systems; theorem provers; integration; formal frameworks

• Wydawca: IOS Press
• Czasopismo: Fundamenta Informaticae
• Rocznik: 1999
• Tom: Vol. 39, Nr 1,2
• Strony: 39--57
• Opis fizyczny: 24 poz.

Twórcy

autor

Bertoli P.G.

autor

Calmet J.

autor

Giunchiglia F.

autor

Homann K.

• IRST Instituto per la Ricerca Scientifica e Tecnologica, Loc. Pante' di Povo - 38100(Tn) Italy,