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VSDITLU: a verifiable symbolic definite integral table A. A. Adams, H. Gottliebsen, S. A. Linton, and U. Martin
 

Summary: VSDITLU: a verifiable symbolic definite integral table
look-up
A. A. Adams, H. Gottliebsen, S. A. Linton, and U. Martin
Department of Computer Science, University of St Andrews, St Andrews KY16 9ES, Scotland
{aaa,hago,sal,um}@cs.st-and.ac.uk
Abstract. We present a verifiable symbolic definite integral table look-up: a sys-
tem 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.
1 Introduction
In this paper we present a verifiable symbolic definite integral table look-up: a system
which matches a query, comprising a definite integral with parameters and side condi-
tions, against an entry in a verifiable table, and uses a call to a library of facts about

  

Source: Adams, Andrew A. - School of Systems Engineering, University of Reading

 

Collections: Computer Technologies and Information Sciences