AXIOM: the scientific computation system
AXIOM: the scientific computation system
Theorems and algorithms: an interface between Isabelle and Maple
ISSAC '95 Proceedings of the 1995 international symposium on Symbolic and algebraic computation
A report on OpenMath: a protocol for the exchange of mathematical information
ACM SIGSAM Bulletin
Journal of Symbolic Computation - Special issue on computer algebra and mechanized reasoning: selected St. Andrews' ISSAC/Calculemus 2000 contributions
A Skeptic’s Approach to Combining HOL and Maple
Journal of Automated Reasoning
Equality in computer algebra and beyond
Journal of Symbolic Computation - Integrated reasoning and algebra systems
Computer Algebra Meets Automated Theorem Proving: Integrating Maple and PVS
TPHOLs '01 Proceedings of the 14th International Conference on Theorem Proving in Higher Order Logics
Intensional polymorphism in type-erasure semantics
Journal of Functional Programming
Efficient parallel programming in Poly/ML and Isabelle/ML
Proceedings of the 5th ACM SIGPLAN workshop on Declarative aspects of multicore programming
Dealing with algebraic expressions over a field in Coq using Maple
Journal of Symbolic Computation
A quantitative study of reductions in algebraic libraries
Proceedings of the 4th International Workshop on Parallel and Symbolic Computation
An automatic parallelization framework for algebraic computation systems
Proceedings of the 36th international symposium on Symbolic and algebraic computation
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This paper presents an ongoing effort to integrate the AXIOM family of computer algebra systems with Poly/ML-based proof assistants in the same framework. A long-term goal is to make a large set of efficient implementations of algebraic algorithms available to popular proof assistants, and also to bring the power of mechanized formal verification to a family of strongly typed computer algebra systems at a modest cost. Our approach is based on retargeting the code generator of the OpenAxiom compiler to the Poly/ML abstract machine.