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» On Monadic Theories of Monadic Predicates
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CSL
2008
Springer
14 years 11 months ago
Model Transformations in Decidability Proofs for Monadic Theories
We survey two basic techniques for showing that the monadic second-order theory of a structure is decidable. In the first approach, one deals with finite fragments of the theory (g...
Wolfgang Thomas
ENTCS
2007
132views more  ENTCS 2007»
14 years 9 months ago
The Category Theoretic Understanding of Universal Algebra: Lawvere Theories and Monads
Lawvere theories and monads have been the two main category theoretic formulations of universal algebra, Lawvere theories arising in 1963 and the connection with monads being esta...
Martin Hyland, John Power
LATA
2009
Springer
15 years 4 months ago
Monadic Second-Order Logic for Graphs: Algorithmic and Language Theoretical Applications
This tutorial will present an overview of the use of Monadic Second-Order Logic to describe sets of finite graphs and graph transformations, in relation with the notions of tree-w...
Bruno Courcelle
FUIN
2010
83views more  FUIN 2010»
14 years 7 months ago
Expressing Cardinality Quantifiers in Monadic Second-Order Logic over Trees
We study an extension of monadic second-order logic of order with the uncountability quantifier "there exist uncountably many sets". We prove that, over the class of fini...
Vince Bárány, Lukasz Kaiser, Alexand...
LICS
1994
IEEE
15 years 1 months ago
A General Semantics for Evaluation Logic
The original semantics of Evaluation Logic in [Mog93] relies on additional properties of strong monads. This paper extends the original semantics by dropping all additional requir...
Eugenio Moggi