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» Algebras and Coalgebras
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ITA
2007
13 years 7 months ago
Recursive coalgebras of finitary functors
Abstract For finitary set functors preserving inverse images several concepts of coalgebras A are proved to be equivalent: (i) A has a homomorphism into the initial algebra, (ii) ...
Jirí Adámek, Dominik Lücke, Ste...
IANDC
2010
102views more  IANDC 2010»
13 years 6 months ago
Presenting functors on many-sorted varieties and applications
This paper studies several applications of the notion of a presentation of a functor by operations and equations. We show that the technically straightforward generalisation of th...
Alexander Kurz, Daniela Petrisan
FOSSACS
2008
Springer
13 years 9 months ago
Beyond Rank 1: Algebraic Semantics and Finite Models for Coalgebraic Logics
Coalgebras provide a uniform framework for the semantics of a large class of (mostly non-normal) modal logics, including e.g. monotone modal logic, probabilistic and graded modal l...
Dirk Pattinson, Lutz Schröder
ACS
2008
13 years 7 months ago
Covering Coalgebras and Dual Non-singularity
Abstract Localisation is an important technique in ring theory and yields the construction of various rings of quotients. Colocalisation in comodule categories has been investigate...
Christian Lomp, Virgínia Rodrigues
ENTCS
2006
161views more  ENTCS 2006»
13 years 7 months ago
Algebraic Specification and Coalgebraic Synthesis of Mealy Automata
We introduce the notion of functional stream derivative, generalising the notion of input derivative of rational expressions (Brzozowski 1964) to the case of stream functions over...
Jan J. M. M. Rutten