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CALCO
2009
Springer
159views Mathematics» more  CALCO 2009»
13 years 11 months ago
Complete Iterativity for Algebras with Effects
Abstract. Completely iterative algebras (cias) are those algebras in which recursive equations have unique solutions. In this paper we study complete iterativity for algebras with ...
Stefan Milius, Thorsten Palm, Daniel Schwencke
CALCO
2009
Springer
138views Mathematics» more  CALCO 2009»
13 years 11 months ago
Kleene Monads: Handling Iteration in a Framework of Generic Effects
Abstract. Monads are a well-established tool for modelling various computational effects. They form the semantic basis of Moggi’s computational metalanguage, the metalanguage of ...
Sergey Goncharov, Lutz Schröder, Till Mossako...
LICS
2000
IEEE
13 years 9 months ago
Complete Axioms for Categorical Fixed-Point Operators
We give an axiomatic treatment of fixed-point operators in categories. A notion of iteration operator is defined, embodying the equational properties of iteration theories. We p...
Alex K. Simpson, Gordon D. Plotkin
ORDER
2010
177views more  ORDER 2010»
13 years 3 months ago
Sharp and Meager Elements in Orthocomplete Homogeneous Effect Algebras
We prove that every orthocomplete homogeneous effect algebra is sharply dominating. Let us denote the greatest sharp element below x by x↓. For every element x of an orthocomple...
Gejza Jenca