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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...
ICFP
2007
ACM
14 years 5 months ago
Inductive reasoning about effectful data types
We present a pair of reasoning principles, definition and proof by rigid induction, which can be seen as proper generalizations of lazy-datatype induction to monadic effects other...
Andrzej Filinski, Kristian Støvring
JCT
2007
107views more  JCT 2007»
13 years 5 months ago
Vertex-minors, monadic second-order logic, and a conjecture by Seese
We prove that one can express the vertex-minor relation on finite undirected graphs by formulas of monadic second-order logic (with no edge set quantification) extended with a p...
Bruno Courcelle, Sang-il Oum
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
CSL
2010
Springer
13 years 6 months ago
New Algorithm for Weak Monadic Second-Order Logic on Inductive Structures
We present a new algorithm for model-checking weak monadic second-order logic on inductive structures, a class of structures of bounded clique width. Our algorithm directly manipul...
Tobias Ganzow, Lukasz Kaiser