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» On Monadic Theories of Monadic Predicates
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LICS
2006
IEEE
13 years 10 months ago
The Boundedness Problem for Monadic Universal First-Order Logic
We consider the monadic boundedness problem for least fixed points over FO formulae as a decision problem: Given a formula ϕ(X, x), positive in X, decide whether there is a unif...
Martin Otto
LICS
2006
IEEE
13 years 10 months ago
Monadic Chain Logic Over Iterations and Applications to Pushdown Systems
Logical properties of iterations of relational structures are studied and these decidability results are applied to the model checking of a powerful extension of pushdown systems....
Dietrich Kuske, Markus Lohrey
AML
1999
135views more  AML 1999»
13 years 4 months ago
Random graphs in the monadic theory of order
We continue the works of Gurevich-Shelah and Lifsches-Shelah by showing that it is consistent with ZFC that the first-order theory of random graphs is not interpretable in the mon...
Shmuel Lifsches, Saharon Shelah
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
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...