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» On the relation of aspects and monads
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CSL
2005
Springer
13 years 11 months ago
The Modular Decomposition of Countable Graphs: Constructions in Monadic Second-Order Logic
We show that the modular decomposition of a countable graph can be defined from this graph, given with an enumeration of its set of vertices, by formulas of Monadic Second-Order l...
Bruno Courcelle, Christian Delhommé
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
APAL
2005
93views more  APAL 2005»
13 years 5 months ago
Logical aspects of Cayley-graphs: the group case
Abstract. We prove that a finitely generated group is context-free whenever its Cayleygraph has a decidable monadic second-order theory. Hence, by the seminal work of Muller and Sc...
Dietrich Kuske, Markus Lohrey
ASIAN
2006
Springer
140views Algorithms» more  ASIAN 2006»
13 years 9 months ago
On Completeness of Logical Relations for Monadic Types
Interesting properties of programs can be expressed using contextual equivalence. The latter is difficult to prove directly, hence (pre-)logical relations are often used as a tool ...
Slawomir Lasota, David Nowak, Yu Zhang
JCSS
2000
121views more  JCSS 2000»
13 years 5 months ago
The Closure of Monadic NP
It is a well-known result of Fagin that the complexity class NP coincides with the class of problems expressible in existential second-order logic ( 1 1), which allows sentences c...
Miklós Ajtai, Ronald Fagin, Larry J. Stockm...