Proceedings of the 1995 international symposium on Symbolic and algebraic computation
International Symposium on Symbolic and Algebraic Computation
Searching techniques for integral tables
ISSAC '95 Proceedings of the 1995 international symposium on Symbolic and algebraic computation
Introduction to Maple (2nd ed.)
Introduction to Maple (2nd ed.)
Symbolic integration I: transcendental functions
Symbolic integration I: transcendental functions
An OpenMath 1.0 implementation
ISSAC '97 Proceedings of the 1997 international symposium on Symbolic and algebraic computation
Simplification of truth-invariant cylindrical algebraic decompositions
ISSAC '98 Proceedings of the 1998 international symposium on Symbolic and algebraic computation
DISCO '96 Proceedings of the International Symposium on Design and Implementation of Symbolic Computation Systems
TACAS '97 Proceedings of the Third International Workshop on Tools and Algorithms for Construction and Analysis of Systems
Proceedings of the 9th International Conference on Theorem Proving in Higher Order Logics
TPHOLs '96 Proceedings of the 9th International Conference on Theorem Proving in Higher Order Logics
Proceedings of the 12th International Conference on Automated Deduction
CADE-12 Proceedings of the 12th International Conference on Automated Deduction
Proceedings of the 15th International Conference on Automated Deduction: Automated Deduction
CADE-15 Proceedings of the 15th International Conference on Automated Deduction: Automated Deduction
A Deductive Database for Mathematical Formulas
DISCO '96 Proceedings of the International Symposium on Design and Implementation of Symbolic Computation Systems
Integrating Computer Algebra with Proof Planning
DISCO '96 Proceedings of the International Symposium on Design and Implementation of Symbolic Computation Systems
Integration in PVS: Tables, Types, and Model Checking
TACAS '97 Proceedings of the Third International Workshop on Tools and Algorithms for Construction and Analysis of Systems
Elements of Mathematical Analysis in PVS
TPHOLs '96 Proceedings of the 9th International Conference on Theorem Proving in Higher Order Logics
Combining Symbolic Computation and Theorem Proving: Some Problems of Ramanujan
CADE-12 Proceedings of the 12th International Conference on Automated Deduction
CADE-15 Proceedings of the 15th International Conference on Automated Deduction: Automated Deduction
Combining Theorem Proving and Symbolic Mathematical Computing
AISMC-2 Selected Papers from the Second International Conference on Integrating Symbolic Mathematical Computation and Artificial Intelligence
Theorem Proving with the Real Numbers
Theorem Proving with the Real Numbers
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We present a verifiable symbolic definite integral table lookup: 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.