A computational logic handbook
A computational logic handbook
Functional instantiation in first-order logic
Artificial intelligence and mathematical theory of computation
Modular proof: the fundamental theorem of calculus
Computer-Aided reasoning
Computer-Aided Reasoning: An Approach
Computer-Aided Reasoning: An Approach
Structured Theory Development for a Mechanized Logic
Journal of Automated Reasoning
Journal of Automated Reasoning
Mechanical Verification of a Square Root Algorithm Using Taylor's Theorem
FMCAD '02 Proceedings of the 4th International Conference on Formal Methods in Computer-Aided Design
Proceedings of the Eighth International Workshop on the ACL2 Theorem Prover and its Applications
Using a first order logic to verify that some set of reals has no lesbegue measure
ITP'10 Proceedings of the First international conference on Interactive Theorem Proving
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ACL2(r) is a modified version of the theorem prover ACL2 that adds support for the irrational numbers using nonstandard analysis. It has been used to prove basic theorems of analysis, as well as the correctness of the implementation of transcendental functions in hardware. This paper presents the logical foundations of ACL2(r). These foundations are also used to justify significant enhancements to ACL2(r).