10.5281/zenodo.810871
https://zenodo.org/records/810871
oai:zenodo.org:810871
Adams, A.A.
A.A.
Adams
University of St Andrew
Gottliebsen, H.
H.
Gottliebsen
University of St Andrew
Linton, S.A.
S.A.
Linton
University of St Andrew
Martin, U.
U.
Martin
University of St Andrew
VSDITLU: a verified symbolic definite integral table look-up.
Springer-Verlag
1999
1999-01-01
10.5281/zenodo.810870
https://zenodo.org/communities/opendepot
Creative Commons Attribution Non Commercial 2.0 Generic
We present a verifiable symbolic definite integral table look-up: a system which matches a query, comprising a definite integral with parameters and side conditions, against an entry in a verifiable table and uses a call to a library of facts about the reals in the theorem prover PVS to aid in the transformation of the table entry into an answer. Our system is able to obtain correct answers in cases where standard techniques implemented in computer algebra systems fail. We present the full model of such a system as well as a description of our prototype implementation showing the efficacy of such a system: for example, the prototype is able to obtain correct answers in cases where computer algebra systems [CAS] do not. We extend upon Fateman's web-based table by including parametric limits of integration and queries with side conditions. This record was migrated from the OpenDepot repository service in June, 2017 before shutting down.