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CALCO
2005
Springer
126views Mathematics» more  CALCO 2005»
13 years 10 months ago
Context-Free Languages via Coalgebraic Trace Semantics
In this paper we identify context-free grammars as coalgebras. To obtain the associated context-free languages (consisting of only finite-length strings) we introduce a general a...
Ichiro Hasuo, Bart Jacobs
ENTCS
2010
112views more  ENTCS 2010»
13 years 5 months ago
From Coalgebraic to Monoidal Traces
The main result of this paper shows how coalgebraic traces, in suitable Kleisli categories, give rise to traced monoidal structure in those Kleisli categories, with finite coprodu...
Bart Jacobs
CALCO
2011
Springer
205views Mathematics» more  CALCO 2011»
12 years 5 months ago
Bases as Coalgebras
Abstract. The free algebra adjunction, between the category of algebras of a monad and the underlying category, induces a comonad on the category of algebras. The coalgebras of thi...
Bart Jacobs
ENTCS
2006
124views more  ENTCS 2006»
13 years 5 months ago
Generic Trace Theory
Trace semantics has been defined for various non-deterministic systems with different input/output types, or with different types of "non-determinism" such as classical ...
Ichiro Hasuo, Bart Jacobs, Ana Sokolova
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