Dr. Lucien Haddad

Dr. Lucien Haddad
Professor
Office:
Girouard building, room 339
Telephone:
(613) 541-6000 ext 6474
Fax:
(613) 541-6584
E-mail:
Department of Mathematics and Computer Science

College Address

Royal Military College of Canada
PO Box 17000, Station Forces
Kingston, Ontario, CANADA
K7K 7B4

Research Interests

  • Multiple-Valued Logic and Discrete Mathematics.

Short Biography

I completed my Licence ès sciences / Licence d’enseignement en mathématiques pures at the Lebanese University in 1979. I received my Master's degree in 1982 from the University of Montreal on the topic of ring theory, and I received my Ph.D. also from the University of Montreal in 1987 under the supervision of Dr. I. G. Rosenberg on the topic of Multiple-Valued Logic. I spent one year (1987–1988) as a postdoctoral fellow at the University of Waterloo, where I met several experts in discrete mathematics. I was an assistant professor of mathematics at the University of Toronto during the period 1988–1991. I came to RMC in August 1991, and I've been at RMC ever since, except for two sabbaticals where I visited the Université Claude Bernard, Lyon (France), the University of Luxembourg (Luxembourg), the University of Dresden, and the University of Rostock (Germany).

Selected Publications

  • Hereditary rigidity, separation and density: In memory of Professor IG Rosenberg, by L. Haddad, M. Miyakawa, M. Pouzet and H. Tatsumi. 2021 IEEE 51st International Symposium on Multiple-Valued Logic, pages 62-67.Bruen, A.A., Haddad, L., & Wehlau, D.L. (1998). Binary Codes and Caps. Journal of Combinatorial Designs 6, 438-450.
  • A survey on the fine-grained complexity of constraint satisfaction problems based on partial polymorphisms, by M. Couceiro, L. Haddad and V. Lagerkvist. Journal of Multiple-Valued Logic and Soft Computing 38 (1-2), pages115-136.
  • Hereditarily Rigid Relations: M. Couceiro, L. Haddad, M. Pouzet and K. Schölzel. 2015 IEEE International Symposium on Multiple-Valued Logic, pages 84-89.
  • On the interval of strong partial clones of Boolean functions containing Pol ({(0, 0),(0, 1),(1, 0)}), by M. Couceiro, L. Haddad, K. Schölzel and T. Waldhauser. Algebra Universalis 77, pages 101-123.
  • A solution to a problem of D. Lau: Complete classification of intervals in the lattice of partial Boolean clones, by M. Couceiro, L. Haddad, K. Schölzel and T. Waldhauser. Journal of Multiple-Valued Logic and Soft Computing 28 (1), pages 47-58.
  • Intervals of Boolean partial clones, by L. Haddad and G.E. Simons. Italian Journal of Pure and Applied Mathematics, 21, pages 147-162.
  • Maximal partial clones of 4-valued logic, by L. Haddad and G.E. Simons. Multiple-valued Logic, an International Journal, 8 no. 4 pages 531-562.
  • A clone-theoretic formulation of the Erdös-Faber-Lovász conjecture, by L. Haddad and C. Tardif. Discuss. Math. Graph Theory 24(3), pages 545-549.
  • 5-chromatic STS's, by J. Fugere, L. Haddad and D. Wehlau. JCD, Vol. 2, No. 5, pages 287–299.
  • Binary Codes and Caps, by A. Bruen, L. Haddad and D. Wehlau. JCD 6, pages 438-450.

  • Completeness theory for finite partial algebras, by L. Haddad and I.G. Rosenberg. Algebra Universalis 29, pages 378-401.

More publications available on  Google Scholar

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