Sciweavers

77 search results - page 1 / 16
» Algebras for Parameterised Monads
Sort
View
CALCO
2009
Springer
163views Mathematics» more  CALCO 2009»
13 years 11 months ago
Algebras for Parameterised Monads
Abstract. Parameterised monads have the same relationship to adjunctions with parameters as monads do to adjunctions. In this paper, we investigate algebras for parameterised monad...
Robert Atkey
CALCO
2011
Springer
205views Mathematics» more  CALCO 2011»
12 years 4 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
CSL
2009
Springer
13 years 11 months ago
On the Parameterised Intractability of Monadic Second-Order Logic
One of Courcelle’s celebrated results states that if C is a class of graphs of bounded tree-width, then model-checking for monadic second order logic (MSO2) is fixed-parameter t...
Stephan Kreutzer
CSL
2003
Springer
13 years 10 months ago
Comparing the Succinctness of Monadic Query Languages over Finite Trees
Abstract. We study the succinctness of monadic second-order logic and a variety of monadic fixed point logics on trees. All these languages are known to have the same expressive p...
Martin Grohe, Nicole Schweikardt
IANDC
2010
107views more  IANDC 2010»
13 years 2 months ago
Equational properties of iterative monads
Iterative monads of Calvin Elgot were introduced to treat the semantics of recursive equations purely algebraically. They are Lawvere theories with the property that all ideal sys...
Jirí Adámek, Stefan Milius, Jiri Vel...