@article{ITA_1994__28_2_125_0,
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},
volume = {28},
year = {1994},
pages = {125-149},
mrnumber = {1282249},
zbl = {0890.68089},
language = {fr},
url = {http://dml.mathdoc.fr/item/ITA_1994__28_2_125_0}
}
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) pp. 125-149. http://gdmltest.u-ga.fr/item/ITA_1994__28_2_125_0/
1. , Binary Decision Diagrams, IEEE Trans. on Computers, 1978, vol. C-27. | Zbl 0377.94038
2. , , , Theory and Design of Digital Machines, McGraw-Hill, 1962. | MR 154452 | Zbl 0114.06504
3. , Perfect Normal Forms for Discrete Functions, BULL Research Report n° 87019, juin 1987.
4. , Introduction to Logic and Switching Theory, Gordon & Breach Science, 1975. | Zbl 0314.94021
5. , , , , Logic Minimization Algorithms for VLSI Synthesis, Kluwer Academic Publishers, 1984. | Zbl 0565.94020
6. , Boolean Reasoning, Kluwer Academic Publishers, 1990. | MR 1166188 | Zbl 0719.03002
7. , Graph-Based Algorithms for Boolean Functions Manipulation, IEEE Trans. on Computers, 1986, vol. C35. | Zbl 0593.94022
8. , 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. , , , , 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. , , A Unified Framework for the Formal Verification of Sequential Circuits, Proc. of ICCAD '90, novembre 1990, Santa Clara CA, U.S.A.
11. , 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. , , 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. , , Implicit and Incremental Computation of Primes and Essential Primes of Boolean Functions, Proc. of 29th DAC, juin 1992, Anaheim CA, U.S.A.
14. , , A New Implicit DAG Based Prime and Essential Prime Computation Technique, Proc. of International Symposium on Information Sciences, juillet 1992, Fukuoka, Japon.
15. , , A Computing Procedure for Quantification Theory, Journal of the ACM, 1960, vol. 7, 201-215. | MR 134439 | Zbl 0212.34203
16. , , Finding the Optimal Variable Ordering for Binary Decision Diagrams, IEEE Trans. on Computer, 1990, vol. C-39, 710-713. | MR 1059769
17. , Advanced Concepts in Fault Tree Analysis, Proc. of System Safety Symposium, juin 1965, Seatle.
18. , , Absolute Minimization of Completely Specified Switching Functions, IEEE Trans. on Computers, 1991, vol. 40, 53-65. | MR 1093496
19. , A Method for Generating Prime Implicants of a Boolean Expression, IEEE Trans. on Computers, 1974, 637-641. | MR 441563 | Zbl 0281.94025
20. , , , A New Technique for the Minimization of Switching Functions, IEEE Southeastcon'85, 1985, 299-304.
21. , An Assumption-Based TMS, Artificial Intelligence, 1986, vol. 28, 127-162.
22. , , Diagnosing Multiple Faults, Artificial Intelligence, 1987, vol. 32, 97-130. | Zbl 0642.94045
23. , , 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. , Minimization of Boolean Functions, Bell System Techniques, 1959, vol. 35, 1417-1444. | MR 82876
25. , , Proving Circuit Correctness Using Formal Comparison Between Expected and Extracted Behaviour, Proc. of the 25th DAC, juillet 1988, Anaheim CA, U.S.A.
26. , , A Logically Complete Reasoning Maintenance System Based on Logical Constrain Solver, Proc. of IJCAI'91, août 1991, Sydney, Australia. | Zbl 0747.68072
27. , , , , Logic Verification using Binary Decision Diagrams in a Logic Synthesis Environment, Proc. of ICCAD'88, Santa Clara, 1988, U.S.A.
28. , , , 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. , , Fiabilité des systèmes, Eyrolles, 1980. | MR 596408 | Zbl 0491.90029
30. , The Problem of Simplifying Truth Functions, American Mathematics Monthly, 1952, vol. 59, 521-531. | MR 51191 | Zbl 0048.24503
31. , A Way to Simplify Truth Functions, American Mathematics. Monthly, 1955, vol. 62, 627-631. | MR 75886 | Zbl 0068.24209
32. , On Cores and Prime Implicants of Truth Functions, American Mathematics Monthly, 1959, vol. 66. | MR 108439 | Zbl 0201.32203
33. , A Theory of Diagnosis From First Principles, Artificial Intelligence, 1987, vol.32. | MR 884192 | Zbl 0643.68122
34. , , Foundation of Assumption-Based Truth Maintenance Systems: Preliminary Report, Proc. of 6th AAAI, 1987, 183-188.
35. , , , , A New Technique for the Fast Minimization of Switching Functions, IEEE Trans, on Computers, 1977, vol. C-26/8, 757-764. | MR 530246 | Zbl 0365.94048
36. , A Machine-Oriented Logic Based on the Resolution Principle, Journal of ACM, 1965, vol. 12, 23-41. | MR 170494 | Zbl 0139.12303
37. , Algebraic Topological Methods for the Synthesis of Switching Systems, Trans. of American Mathematical Society, 1958, vol. 88/2, 301-326. | MR 97285 | Zbl 0083.13103
38. , , Multiple Valued Minimization for PLA Optimization, IEEE Trans. on CAD, 1987, vol 6, 727-750.
39. , 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 565416
40. , , , Completeness Theorems for Semantics Resolution in Consequence Finding, Proc. of IJCAI'69, 1969, 281-285.
41. , , , A New Algorithm for Generating Prime Implicants, IEEE Trans, on Computers, 1970, vol. C-19(4), 304-310. | MR 456994 | Zbl 0197.14601
42. , The Theory of Representations for Boolean Algebra, Trans. Amer. Math. Soc., 1936, vol. 40, 37-111. | JFM 62.0033.04 | MR 1501865
43. , Generalized Consensus Theory and Application to the Minimization of Boolean Functions, IEEE Trans, on Electronic Computers, 1967, vol. EC-16/4, 446-456. | Zbl 0158.16102
44. , Sûreté de fonctionnement des systèmes industriels, Eyroles, 1988.
45. , Logic Synthesis and Optimization Benchmarks User Guide, Microelectronics Center of North Carolina, January 1991.