An industrial strength theorem prover for a logic based on common lisp

IEEE Transactions on Software Engineering

Volumn 23, Issue 4, 1997, Pages 203-213

  Kaufmann, Matt ^a   Moore, J S ^b  

^a MOTOROLA INC   (United States)

^b University of Texas at Austin   (United States)

Author keywords

Automatic theorem proving; Computational logic; Digital signal processing; Floating point division; Formal verification; Microcode verification; Partial functions; Total functions; Type checking

Indexed keywords

ALGORITHMS; COMPUTATIONAL METHODS; DIGITAL ARITHMETIC; DIGITAL SIGNAL PROCESSING; FORMAL LOGIC; LISP (PROGRAMMING LANGUAGE); LOGIC PROGRAMMING; MATHEMATICAL TECHNIQUES;

A COMPUTATIONAL LOGIC FOR APPLICATIVE COMMON LISP (ACL2); AUTOMATIC THEOREM PROVING; COMMON LISP PROGRAMMING LANGUAGE; FORMAL VERIFICATION; INDUSTRIAL STRENGTH THEOREM PROVER; MICROCODE VERIFICATION; PARTIAL FUNCTIONS; TOTAL FUNCTIONS; TYPE CHECKING;

THEOREM PROVING;

EID: 0031124371     PISSN: 00985589     EISSN: None     Source Type: Journal    
DOI: 10.1109/32.588534     Document Type: Article

References (42)

1. R.L. Akers, "Strong Static Type Checking for Functional Common Lisp," PhD thesis, Univ. of Texas at Austin, 1993. Also available as Technical Report 96, Computational Logic, Inc., Suite 290, 1717 W. Sixth Street, Austin, Tex. URL http://www.cli.com/.
2. K. Albin, "68020 Model Validation Testing," CLI Note 280, Aug. 1993.
3. D. Basin and M. Kaufmann, "The Boyer-Moore Prover and Nuprl: An Experimental Comparison," Proc. First Workshop on "Logical Frameworks," Antibes, France, May 1990.
4. W.R. Bevier, W.A. Hunt, J. Strother Moore, and W.D. Young, "Special Issue on System Verification," J. Automated Reasoning, vol. 5, no. 4, pp. 409-530, 1989.
5. W.R. Bevier and W.D. Young, "Machine Checked Proofs of the Design of a Fault-Tolerant Circuit," Formal Aspects of Computing, vol. 4, pp. 755-775, 1992. Also available as Technical Report 62, Computational Logic, Inc., Suite 290, 1717 West Sixth Street, Austin, Tex 78703, Aug., 1990 (URL http://www.cli.com/), and as NASA CR-182099, Nov. 1990.
6. R.S. Boyer, D. Goldschlag, M. Kaufmann, and J S. Moore, "Functional Instantiation in First Order Logic," Artificial Intelligence and Mathematical Theory of Computation: Papers in Honor of John McCarthy, pp. 7-26, Academic Press, 1991.
7. R.S. Boyer, M. Kaufmann, and J S. Moore, "The Boyer-Moore Theorem Prover and Its Interactive Enhancement," Computers and Mathematics with Applications, vol. 29, no. 2, pp. 27-62, 1995.
8. R.S. Boyer and J S. Moore, A Computational Logic. New York: Academic Press, 1979.
9. S. Boyer and J S. Moore, A Computational Logic Handbook. New York: Academic Press, 1988.
10. R.S. Boyer and Y. Yu, "Automated Correctness Proofs of Machine Code Programs for a Commercial Microprocessor," D. Kapur, ed., Automated Deduction - CADE-11, Lecture Notes in Computer Science 607, pp. 416-430, Springer-Verlag, 1992.
11. R.K. Brayton, G.D. Hachtel, A. Sangiovanni-Vincentelli, F. Somenzi, A. Aziz, S.-T. Cheng, S. Edwards, S. Khatri, Y. Kukimoto, A. Pardo, S. Qadeer, R.K. Ranjan, S. Sarwary, T.R. Shiple, G. Swamy, and T. Villa, "VIS: A System for Verification and Synthesis," Proc. Eighth Int'l Conf. Computer-Aided Verification, July, 1996.
12. B. Brock, M. Kaufmann, and J S. Moore, "ACL2 Theorems about Commercial Microprocessors," M. Srivas and A. Camilleri, eds., Formal Methods in Computer-Aided Design (FMCAD'96), Springer-Verlag, Nov. 1996.
13. S.-C. Chou, Mechanical Geometry Theorem Proving. Dordrecht, Holland: D. Reidel Publishing Co., 1988.
14. E.M. Clarke and X. Zhao, "Analytica: A Theorem Prover for Mathematica," The J. of Mathematica, vol. 3, no. 1, pp. 56-71, Winter 1993.
15. R.L. Constable et al., Implementing Mathematics with the Nuprl Proof Development System. Prentice Hall, 1986.
16. C. Cornes, J. Courant, J.-C. Filliatre, G. Huet, and P. Manoury, et al., "The Coq Proof Assistant, Reference Manual," Version 5.10. RT-0177, INRIA, B.P. 105, 78153 Le Chesnay Cedex, France.
17. D. Craigen, S. Kromodimoeljo, I. Meisels, B. Pase, and M. Saaltink, EVES: An Overview, "Odyssey Research Center," ORA Conf., Paper CP-91-5402-43, Mar. 1991.
18. J. Crow, S. Owre, J. Rushby, N. Shankar, and M. Srivas, "A Tutorial Introduction to PVS," Workshop on Industrial-Strength Formal Specification Techniques, Boca Raton, Fla., Apr. 1995. (http:// www.csl.sri.com/pvs.html)
19. S. Gilfeather, J. Gehman, and C. Harrison, "Architecture of a Complex Arithmetic Processor for Communication Signal Processing," SPIE Proc., Int'l Symp. Optics, Imaging, and Instrumentation, 2296 Advanced Signal Processing: Algorithms, Architectures, and Implementations V, pp. 624-625, July, 1994.
20. M.J.C. Gordon and T.F. Melham, eds., Introduction to HOL: A Theorem Proving Environment for Higher-Order Logic. Cambridge Univ. Press, 1993.
21. W.M. Farmer, J.D. Guttman, and F.J. Thayer, "IMPS: An Interactive Mathematical Proof System," J. Automated Reasoning, vol. 11, no. 2, pp. 213-248, 1993.
22. W.A. Hunt Jr. and B. Brock, "A Formal HDL and Its Use in the FM9001 Verification," Proc. Royal Society, 1992.
23. M. Kaufmann, "A User's Manual for an Interactive Enhancement to the Boyer-Moore Theorem Prover," Technical Report 19, Computational Logic, Inc., May, 1988. URL http: //www.cli.com/
24. M. Kaufmann and P. Pecchiari, "Interaction with the Boyer-Moore Theorem Prover: A Tutorial Study Using the Arithmetic-Geometric Mean Theorem," J. Automated Reasoning 16, nos. 1/2, pp. 181-222, 1996.
25. M. Kaufmann and J S. Moore, "High-Level Correctness of ACL2: A Story (DRAFT)," Sept. 1995. URL ftp://ftp.cli.com/pub/ acl2/vl-8/ac12-sources/reports/story.txt
26. K. Kunen, "A Ramsey Theorem in Boyer-Moore Logic," J. Automated Reasoning," vol. 15, no. 2, Oct. 1995.
27. L. Lamport, "Types are Not Harmless," July, 1995. http:// www.research.digital.com/SRC/tla/tla.html
28. W. McCune, "Otter 3.0 Reference Manual and Guide. Report ANl-94/6," Argonne National Lab., 1994.
29. K.L. McMillan, Symbolic Model Checking. Kluwer Academic, 1993.
30. S.P. Miller and M. Srivas, "Formal Verification of the AAMP5 Microprocessor: A Case Study in the Industrial Use of Formal Methods," Proc. WIFT '95: Workshop on Industrial-Strength Formal Specification Techniques, IEEE Computer Society, pp. 2-16, Apr., 1995.
31. K86 Floating Point Division Algorithm," Mar. 1996. URL http:// devil.ece.utexas.edu:80/lynch/divide/divide.html
32. J S. Moore, "A Formal Model of Asynchronous Communication and Its Use in Mechanically Verifying a Biphase Mark Protocol," Formal Aspects of Computing vol. 6, no. 1, pp. 60-91, 1994.
33. J S. Moore, "Introduction to the OBDD Algorithm for the ATP Community," J. Automated Reasoning, vol. 12, pp. 33-45, 1994.
34. L.C. Paulson, Isabelle: A Generic Theorem Prover, Lecture Notes in Computer Science 828. Springer-Verlag, 1994.
35. K.M. Pitman et al., draft proposed American National Standard for Information Systems - Programming Language - Common Lisp; X3J13/ 93-102. Global Eng. Documents, Inc., 1994.
36. D.M. Russinoff, "A Mechanical Proof of Quadratic Reciprocity," J. Automated Reasoning, vol. 8, no. 1, pp. 3-21, 1992.
37. K86 Floating-Point Square Root Microcode," Feb. 1997. http://www.onr.com/user/russ/david/fsqrt.html
38. N. Shankar, Metamathematics, Machines, and Gödel's Proof. Cambridge Univ. Press, 1994.
39. G.L. Steele Jr., Common LISP: The Language, Bedford, Mass.: Digital Press, 1984.
40. G.L. Steele Jr., Common Lisp The Language, Second Edition. Burlington, Mass.: Digital Press, 1990.
41. A. Trybulec, "Built-in Concepts," J. Formalized Mathematics, Axiomatics, 1989.
42. W.D. Young, "Comparing Verification Systems: Interactive Consistency in ACL2," IEEE Trans. Software Eng., Apr. 1997.