810871
doi
10.5281/zenodo.810871
oai:zenodo.org:810871
user-opendepot
Gottliebsen, H.
University of St Andrew
Linton, S.A.
University of St Andrew
Martin, U.
University of St Andrew
VSDITLU: a verified symbolic definite integral table look-up.
Adams, A.A.
University of St Andrew
info:eu-repo/semantics/openAccess
Creative Commons Attribution Non Commercial 2.0 Generic
https://creativecommons.org/licenses/by-nc/2.0/legalcode
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.
Springer-Verlag
1999-01-01
info:eu-repo/semantics/bookPart
810870
user-opendepot
1579541906.394144
104250
md5:17acac62531afcaf2c42104565e8afe8
https://zenodo.org/records/810871/files/CADE99.pdf
public
10.5281/zenodo.810870
isVersionOf
doi
Automated Deduction -- CADE-16 16th International Conference on Automated Deduction
3-540-66222-7
Berlin
1999-01-01