no. 2
Une approche intentionnelle du calcul des implicants premiers et essentiels des fonctions booléennes
RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications, Tome 28 (1994) no. 2, pp. 125-149. 
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     author = {Coudert, Olivier and Madre, Jean-Christophe},
     title = {Une approche intentionnelle du calcul des implicants premiers et essentiels des fonctions bool\'eennes},
     journal = {RAIRO - Theoretical Informatics and Applications - Informatique Th\'eorique et Applications},
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     number = {2},
     year = {1994},
     mrnumber = {1282249},
     zbl = {0890.68089},
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     url = {http://www.numdam.org/item/ITA_1994__28_2_125_0/}
}
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Coudert, Olivier; Madre, Jean-Christophe. Une approche intentionnelle du calcul des implicants premiers et essentiels des fonctions booléennes. RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications, Tome 28 (1994) no. 2, pp. 125-149. http://www.numdam.org/item/ITA_1994__28_2_125_0/

1. S. B. Akers, Binary Decision Diagrams, IEEE Trans. on Computers, 1978, vol. C-27. | Zbl

2. T. C. Bartee, I. L. Lebow, I. S. Reed, Theory and Design of Digital Machines, McGraw-Hill, 1962. | MR | Zbl

3. J.-P. Billon, Perfect Normal Forms for Discrete Functions, BULL Research Report n° 87019, juin 1987.

4. N. N. Biswas, Introduction to Logic and Switching Theory, Gordon & Breach Science, 1975. | Zbl

5. R. E. Brayton, G. D. Hachtel, C. T. Mcmullen, A. L. Sangiovanni-Vincentelli, Logic Minimization Algorithms for VLSI Synthesis, Kluwer Academic Publishers, 1984. | Zbl

6. F. M. Brown, Boolean Reasoning, Kluwer Academic Publishers, 1990. | MR | Zbl

7. R. E. Bryant, Graph-Based Algorithms for Boolean Functions Manipulation, IEEE Trans. on Computers, 1986, vol. C35. | Zbl

8. R. E. Bryant, On the Complexity of VLSI Implementations and Graph Representations of Boolean Functions with Application to Integer Multiplication, Carnegie Mellon University Research Report, September 1988.

9. K. M. Butler, D. E. Ross, R. Kapur, M. R. Mercer, Heuristics to Compute Variable Orderings for Efficient Manipulations of Ordered Binary Decision Diagrams, in Proc. of 28th Design Automation Conference, San Francisco, California, June 1991, 417-420.

10. O. Coudert, J. C. Madre, A Unified Framework for the Formal Verification of Sequential Circuits, Proc. of ICCAD '90, novembre 1990, Santa Clara CA, U.S.A.

11. O. Coudert, S.I.A.M.: Une boîte à outils pour la preuve formelle de systèmes séquentiels, Thèse de troisième cycle, École Nationale Supérieure des Télécommunications, Paris, France, octobre 1991.

12. O. Coudert, J. C. Madre, A New Method to Compute Prime and Essential Prime Implicants of Boolean Functions, Proc. of Brown/MIT Conference on Advanced Research in VLSI and Parallel Systems, mars 1992, Cambridge MA, U.S.A.

13. O. Coudert, J. C. Madre, Implicit and Incremental Computation of Primes and Essential Primes of Boolean Functions, Proc. of 29th DAC, juin 1992, Anaheim CA, U.S.A.

14. O. Coudert, J. C. Madre, A New Implicit DAG Based Prime and Essential Prime Computation Technique, Proc. of International Symposium on Information Sciences, juillet 1992, Fukuoka, Japon.

15. M. Davis, H. Putnam, A Computing Procedure for Quantification Theory, Journal of the ACM, 1960, vol. 7, 201-215. | MR | Zbl

16. S. J. Friedman, K. J. Supowit, Finding the Optimal Variable Ordering for Binary Decision Diagrams, IEEE Trans. on Computer, 1990, vol. C-39, 710-713. | MR

17. D. F. Hasl, Advanced Concepts in Fault Tree Analysis, Proc. of System Safety Symposium, juin 1965, Seatle.

18. S. J. Hong, S. Muroga, Absolute Minimization of Completely Specified Switching Functions, IEEE Trans. on Computers, 1991, vol. 40, 53-65. | MR

19. H. R. Hwa, A Method for Generating Prime Implicants of a Boolean Expression, IEEE Trans. on Computers, 1974, 637-641. | MR | Zbl

20. H. Y. Hwang, D. S. Chao, M. E. Valdez, A New Technique for the Minimization of Switching Functions, IEEE Southeastcon'85, 1985, 299-304.

21. J. De Kleer, An Assumption-Based TMS, Artificial Intelligence, 1986, vol. 28, 127-162.

22. J. De Kleer, B. C. Williams, Diagnosing Multiple Faults, Artificial Intelligence, 1987, vol. 32, 97-130. | Zbl

23. M. C. Loui, G. Bilardi, The Correctness of Tison's Method for Generating Prime Implicants, Report R-952, UILU-ENG 82-2218, Coordinated Science Laboratory, University of Illinois at Urbana-Champaign, 1982.

24. E. L. Jr. Mccluskey, Minimization of Boolean Functions, Bell System Techniques, 1959, vol. 35, 1417-1444. | MR

25. J. C. Madre, J. P. Billon, Proving Circuit Correctness Using Formal Comparison Between Expected and Extracted Behaviour, Proc. of the 25th DAC, juillet 1988, Anaheim CA, U.S.A.

26. J. C. Madre, O. Coudert, A Logically Complete Reasoning Maintenance System Based on Logical Constrain Solver, Proc. of IJCAI'91, août 1991, Sydney, Australia. | Zbl

27. S. Malik, A. R. Wang, R. K. Brayton, A. Sangiovanni-Vincentelli, Logic Verification using Binary Decision Diagrams in a Logic Synthesis Environment, Proc. of ICCAD'88, Santa Clara, 1988, U.S.A.

28. S. Minato, N. Ishiura, S. Yajima, Shared Binary Decision Diagrams with Attributed Edges for Efficient Boolean Function Manipulation, Proc. of the 27 th Design Automation Conference, June 1990, Las Vegas, Nevada, 52-57.

29. A. Pagès, M. Gondran, Fiabilité des systèmes, Eyrolles, 1980. | MR | Zbl

30. W. V. O. Quine, The Problem of Simplifying Truth Functions, American Mathematics Monthly, 1952, vol. 59, 521-531. | MR | Zbl

31. W. V. O. Quine, A Way to Simplify Truth Functions, American Mathematics. Monthly, 1955, vol. 62, 627-631. | MR | Zbl

32. W.V. O. Quine, On Cores and Prime Implicants of Truth Functions, American Mathematics Monthly, 1959, vol. 66. | MR | Zbl

33. R. Reiter, A Theory of Diagnosis From First Principles, Artificial Intelligence, 1987, vol.32. | MR | Zbl

34. R. Reiter, J. De Kleer, Foundation of Assumption-Based Truth Maintenance Systems: Preliminary Report, Proc. of 6th AAAI, 1987, 183-188.

35. V. T. Rhyne, P. S. Noe, M. H. Mckinney, U. W. Pooch, A New Technique for the Fast Minimization of Switching Functions, IEEE Trans, on Computers, 1977, vol. C-26/8, 757-764. | MR | Zbl

36. J. A. Robinson, A Machine-Oriented Logic Based on the Resolution Principle, Journal of ACM, 1965, vol. 12, 23-41. | MR | Zbl

37. J. P. Roth, Algebraic Topological Methods for the Synthesis of Switching Systems, Trans. of American Mathematical Society, 1958, vol. 88/2, 301-326. | MR | Zbl

38. R. L. Rudell, A. L. Sangiovanni-Vincentelli, Multiple Valued Minimization for PLA Optimization, IEEE Trans. on CAD, 1987, vol 6, 727-750.

39. T. Sasao, An Application of Multiple-Valued Logic to a Design of Programmable Logic Arrays, Proc. of 8th Int'l Symposium on Multiple Valued Logic, 1978. | MR

40. J. R. Slage, C. L. Chang, R. C. T. Lee, Completeness Theorems for Semantics Resolution in Consequence Finding, Proc. of IJCAI'69, 1969, 281-285.

41. J. R. Slage, C. L. Chang, R. C. T. Lee, A New Algorithm for Generating Prime Implicants, IEEE Trans, on Computers, 1970, vol. C-19(4), 304-310. | MR | Zbl

42. M. Stone, The Theory of Representations for Boolean Algebra, Trans. Amer. Math. Soc., 1936, vol. 40, 37-111. | JFM | MR

43. P. Tison, Generalized Consensus Theory and Application to the Minimization of Boolean Functions, IEEE Trans, on Electronic Computers, 1967, vol. EC-16/4, 446-456. | Zbl

44. A. Villemeur, Sûreté de fonctionnement des systèmes industriels, Eyroles, 1988.

45. S. Yang, Logic Synthesis and Optimization Benchmarks User Guide, Microelectronics Center of North Carolina, January 1991.