A computational logic handbook
A computational logic handbook
Common LISP: the language (2nd ed.)
Common LISP: the language (2nd ed.)
Functional instantiation in first-order logic
Artificial intelligence and mathematical theory of computation
IMPS: an interactive mathematical proof system
Journal of Automated Reasoning
A Mechanically Checked Proof of the AMD5K86TM Floating-Point Division Program
IEEE Transactions on Computers
Automatic Proofs of Theorems in Analysis Using Nonstandard Techniques
Journal of the ACM (JACM)
Modular proof: the fundamental theorem of calculus
Computer-Aided reasoning
Continuity and differentiability
Computer-Aided reasoning
Computer-Aided Reasoning: An Approach
Computer-Aided Reasoning: An Approach
Structured Theory Development for a Mechanized Logic
Journal of Automated Reasoning
A Mechanically Checked Proof of Correctness of the AMD K5 Floating Point Square Root Microcode
Formal Methods in System Design
ACL2 Theorems About Commercial Microprocessors
FMCAD '96 Proceedings of the First International Conference on Formal Methods in Computer-Aided Design
Elements of Mathematical Analysis in PVS
TPHOLs '96 Proceedings of the 9th International Conference on Theorem Proving in Higher Order Logics
PVS: Combining Specification, Proof Checking, and Model Checking
CAV '96 Proceedings of the 8th International Conference on Computer Aided Verification
Square Roots in ACL2: A Study in Sonata Form
Square Roots in ACL2: A Study in Sonata Form
Mechanically verifying real-valued algorithms in acl2
Mechanically verifying real-valued algorithms in acl2
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
Journal of Automated Reasoning
Agent-oriented modeling of the dynamics of biological organisms
Applied Intelligence
Analysis of meeting protocols by formalisation, simulation, and verification
Computational & Mathematical Organization Theory
TPHOLs '08 Proceedings of the 21st International Conference on Theorem Proving in Higher Order Logics
Formal Verification of Exact Computations Using Newton's Method
TPHOLs '09 Proceedings of the 22nd International Conference on Theorem Proving in Higher Order Logics
Proceedings of the Eighth International Workshop on the ACL2 Theorem Prover and its Applications
Automatic differentiation in ACL2
ITP'11 Proceedings of the Second international conference on Interactive theorem proving
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
Formal proof of a wave equation resolution scheme: the method error
ITP'10 Proceedings of the First international conference on Interactive Theorem Proving
A temporal-interactivist perspective on the dynamics of mental states
Cognitive Systems Research
Exercises in nonstandard static analysis of hybrid systems
CAV'12 Proceedings of the 24th international conference on Computer Aided Verification
Improving real analysis in coq: a user-friendly approach to integrals and derivatives
CPP'12 Proceedings of the Second international conference on Certified Programs and Proofs
Wave Equation Numerical Resolution: A Comprehensive Mechanized Proof of a C Program
Journal of Automated Reasoning
Computation in real closed infinitesimal and transcendental extensions of the rationals
CADE'13 Proceedings of the 24th international conference on Automated Deduction
Verifying a plaftorm for digital imaging: a multi-tool strategy
CICM'13 Proceedings of the 2013 international conference on Intelligent Computer Mathematics
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ACL2 refers to a mathematical logic based on applicative Common Lisp, as well as to an automated theorem prover for this logic. The numeric system of ACL2 reflects that of Common Lisp, including the rational and complex-rational numbers and excluding the real and complex irrationals. In conjunction with the arithmetic completion axioms, this numeric type system makes it possible to prove the nonexistence of specific irrational numbers, such as √2. This paper describes ACL2(r), a version of ACL2 with support for the real and complex numbers. The modifications are based on nonstandard analysis, which interacts better with the discrete flavor of ACL2 than does traditional analysis.