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» Weak Representations of Interval Algebras
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LOGCOM
2010
158views more  LOGCOM 2010»
13 years 7 months ago
Applying Universal Algebra to Lambda Calculus
The aim of this paper is double. From one side we survey the knowledge we have acquired these last ten years about the lattice of all λ-theories (= equational extensions of untype...
Giulio Manzonetto, Antonino Salibra
FSS
2008
94views more  FSS 2008»
13 years 9 months ago
Lattices of convex normal functions
The algebra of truth values of type-2 fuzzy sets is the set of all functions from the unit interval into itself, with operations de ned in terms of certain convolutions of these f...
John Harding, Carol L. Walker, Elbert A. Walker
WG
2005
Springer
14 years 2 months ago
Algebraic Operations on PQ Trees and Modular Decomposition Trees
Partitive set families are families of sets that can be quite large, but have a compact, recursive representation in the form of a tree. This tree is a common generalization of PQ...
Ross M. McConnell, Fabien de Montgolfier
CALCO
2009
Springer
161views Mathematics» more  CALCO 2009»
14 years 3 months ago
Free Heyting Algebras: Revisited
Abstract. We use coalgebraic methods to describe finitely generated free Heyting algebras. Heyting algebras are axiomatized by rank 0-1 axioms. In the process of constructing free...
Nick Bezhanishvili, Mai Gehrke
IJAR
2008
143views more  IJAR 2008»
13 years 9 months ago
A characterization of interval-valued residuated lattices
As is well-known, residuated lattices (RLs) on the unit interval correspond to leftcontinuous t-norms. Thus far, a similar characterization has not been found for RLs on the set o...
Bart Van Gasse, Chris Cornelis, Glad Deschrijver, ...