Formal Concept Analysis: 4th International Conference, ICFCA by Rudolf Wille (auth.), Rokia Missaoui, Jürg Schmidt (eds.)

By Rudolf Wille (auth.), Rokia Missaoui, Jürg Schmidt (eds.)

This ebook constitutes the refereed complaints of the 4th overseas convention on Formal proposal research, ICFCA 2006, held in Dresden, Germany in February 2006.

The 17 revised complete papers provided including four invited papers have been conscientiously reviewed and chosen for inclusion within the booklet.

The papers express advances in utilized lattice and order thought and particularly clinical advances concerning formal thought research and its useful purposes: info and information processing together with facts visualization, info retrieval, computer studying, facts research and information management.

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Extra resources for Formal Concept Analysis: 4th International Conference, ICFCA 2006, Dresden, Germany, February 13-17, 2006. Proceedings

Example text

2. The Automorphism Problem. What is lim |P |→∞ |Aut(P )| |Aut(P )| := lim max ? n→∞ |P |=n |End(P )| |End(P )| The common conjecture is that the limit is zero. 3. The Automorphism Conjecture [11]. lim |P |→∞ |Aut(P )| = 0. |End(P )| The automorphism conjecture was proved for the class of finite lattices in [7]. 288, 289 that prove the automorphism conjecture for some easy classes of ordered sets, such as interval ordered sets and sets of width ≤ 3. To get some experimental insight into the problem, it is natural to use an enumeration algorithm to compute the numbers of endomorphisms and automorphisms for specific ordered sets and investigate these quotients.

Barwise, J. Seligman: Information flow: the logic of distributive systems. Cambridge University Press, Cambridge 1997. [BH05] P. Becker, J. Hereth Correia: The ToscanaJ Suite for implementing conceptual information systems. In: [GSW05], 324–348. [Br94] R. B. Brandom: Making it explicit. Reasoning, representing, and discursive commitment. Havard University Press, Cambridge 1994. [Bu00] P. Burmeister: ConImp - Ein Programm zur Formalen Begriffsanalyse. In: [SW00], 25–56. [CR04] C. Carpineto, G. Romano: Concept data analysis: theory and applications.

Sands, R. Woodrow. Enumeration of order-preserving maps. Order, 9:15-29, 1992. 4. D. E. Knuth. Estimating the efficiency of backtrack programs. Math. , 29:121-136, 1975. 5. T. Kulkarni. Experimental evaluation of selected algorithms for estimating the cost of solving a constraint satisfaction problem. MS. Thesis, Louisiana Tech University, 2001. 6. G. Kondrak and P. van Beek. A theoretical evaluation of selected backtracking algorithms. Artificial Intelligence, 89:365-387, 1997. 7. -P. Liu and H. Wan.

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