Nonstandard analysis in ACL2

Journal of Automated Reasoning

Volumn 27, Issue 4, 2001, Pages 323-351

  Gamboa, Ruben A ^a   Kaufmann, Matt ^b  

^a Loop One Inc   (United States)

^b ADVANCED MICRO DEVICES   (United States)

Author keywords

Automated theorem proving with the reals; Nonstandard analysis

Indexed keywords

DIFFERENTIATION (CALCULUS); FORMAL LOGIC; NUMBER THEORY; PROBLEM SOLVING;

NONSTANDARD ANALYSIS; NUMERIC SYSTEM;

THEOREM PROVING;

EID: 0035500042     PISSN: 01687433     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1011908113514     Document Type: Article

References (35)

1. Automatic proofs of theorems in analysis using non-standard techniques
2. The metatheorist: Automatic proofs of theorems in analysis using non-standard techniques, Part II
3. The UT natural deduction prover
4. Some automatic proofs in analysis
5. Functional instantiation in first order logic
6. ACL2 theorems about commercial microprocessors
7. Elements of mathematical analysis in PVS
8. IMPS: An interactive mathematical proof system
9. Square roots in ACL2: A study in sonata form
10. Mechanically verifying the correctness of the fast Fourier transform in ACL2
11. Continuity and differentiability in ACL2
12. Modular proof: The fundamental theorem of calculus
13. ACL2: A computational logic for applicative common lisp, the user's manual
14. A precise description of the ACL2 logic
15. Design goals for ACL2
16. Structured theory development for a mechanized logic
17. K86 floating-point division program
18. On-line books: Internal set theory
19. Internal set theory
20. PVS: Combining specification, proof checking, and model checking
21. An overview of the MIZAR project
22. A mechanically checked proof of IEEE compliance of a register-transfer-level specification of the AMD-K7 floating-point multiplication, division, and square root instructions
23. A mechanically checked proof of correctness of the AMD-K5 floating-point square root microcode
24. The Mizar-QC/6000 logic information language