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About this Seminar

Since their inception in 1979 the Linz Seminars on Fuzzy Sets have emphasized the development of mathematical aspects of fuzzy sets by bringing together researchers in fuzzy sets and established mathematicians whose work outside the fuzzy setting can provide direction for further research. The seminar is deliberately kept small and intimate so that informal critical discussion remains central. There are no parallel sessions and during the week there are several round tables to discuss open problems and promising directions for further work.

LINZ 2008 will be the 29th seminar carrying on this tradition and is devoted to the theme “Foundations of Lattice-Valued Mathematics with Applications to Algebra and Topology”. The last decade has witnessed a significant development of the categorical, logical, and order-theoretic foundations of lattice-valued mathematics and their impact on algebra and topology. These developments have created or significantly strengthened bridges between lattice-valued mathematics, logic, sheaves, algebraic theories, quantales and order-theoretic structures, various subdisciplines of topology, and theoretical computer science. The purpose of the 29th Seminar is to discuss the synergy between these fields as well as identify important open questions.

Accordingly, the topics of the Seminar will include but not be limited to:

  • Categorical and logical approaches to lattice valued algebraic structures, powerset theories, topological structures
  • Lattice valued categories, equivalences, locales, orders, topologies
  • Presheaf and sheaf theoretic approaches to lattice valued structures
  • Programming semantics, semantic domains, topological systems

The "Linz" tradition has these key features: the number of participants of the Linz Seminars is usually bounded above by 40 with broad international representation and a mix of pure and applied interests; there are no parallel sessions so that all participants focus on each presentation and fully engage each topic; and there is ample time for discussion of each presentation, with followup round tables for discussion of open problems and issues raised in the talks.