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» On Coalgebras over Algebras
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CALCO
2011
Springer
214views Mathematics» more  CALCO 2011»
12 years 7 months ago
Indexed Induction and Coinduction, Fibrationally
This paper extends the fibrational approach to induction and coinduction pioneered by Hermida and Jacobs, and developed by the current authors, in two key directions. First, we pr...
Clément Fumex, Neil Ghani, Patricia Johann
CORR
2008
Springer
110views Education» more  CORR 2008»
13 years 7 months ago
Rational streams coalgebraically
Abstract. We study rational streams (over a field) from a coalgebraic perspective. Exploiting the finality of the set of streams, we present an elementary and uniform proof of the ...
Jan J. M. M. Rutten
ENTCS
2008
126views more  ENTCS 2008»
13 years 7 months ago
Admissibility of Cut in Coalgebraic Logics
We study sequent calculi for propositional modal logics, interpreted over coalgebras, with admissibility of cut being the main result. As applications we present a new proof of th...
Dirk Pattinson, Lutz Schröder
SBMF
2010
Springer
164views Formal Methods» more  SBMF 2010»
13 years 2 months ago
A Decision Procedure for Bisimilarity of Generalized Regular Expressions
A notion of generalized regular expressions for a large class of systems modeled as coalgebras, and an analogue of Kleene's theorem and Kleene algebra, were recently proposed ...
Marcello M. Bonsangue, Georgiana Caltais, Eugen-Io...
BIRTHDAY
2009
Springer
14 years 2 months ago
Formal Series of General Algebras over a Field and Their Syntactic Algebras
Any mapping S : C → K, where K is a field and C = (C, Σ) is a Σ-algebra, is called a KC-series. These series are natural generalizations of both formal series on strings over...
Zoltán Fülöp, Magnus Steinby