Introduction to mathematical logic (3rd ed.)
Introduction to mathematical logic (3rd ed.)
A pragmatic approach to extending provers by computer algebra — with applications to coding theory
Fundamenta Informaticae - Special issue on symbolic computation and artificial intelligence
A Skeptic’s Approach to Combining HOL and Maple
Journal of Automated Reasoning
An Assume Facility for CAS, with a Sample Implementation for Maple
DISCO '92 Proceedings of the International Symposium on Design and Implementation of Symbolic Computation Systems
Termination of Constraint Contextual Rewriting
FroCoS '00 Proceedings of the Third International Workshop on Frontiers of Combining Systems
System Description: RDL : Rewrite and Decision Procedure Laboratory
IJCAR '01 Proceedings of the First International Joint Conference on Automated Reasoning
Combining Generic and Domain Specific Reasoning by Using Contexts
AISC '02/Calculemus '02 Proceedings of the Joint International Conferences on Artificial Intelligence, Automated Reasoning, and Symbolic Computation
Constraint contextual rewriting
Journal of Symbolic Computation - Special issue: First order theorem proving
A reconstruction and extension of Maple's assume facility via constraint contextual rewriting
Journal of Symbolic Computation
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Maple's evaluator, together with a feature that is usually known as the assume facility, is a combination of modules with specialised resoaning capabilities. These modules are identified, their interfaces are specified, and their interplay is reconstructed as Constraint Contextual Rewriting (CCR), a powerful form of conditional rewriting that incorporates the services provided by a decision procedure. Finally we show how Maple's evaluation process can be strengthened by borrowing ideas from CCR.