Sciweavers

42 search results - page 2 / 9
» The proof monad
Sort
View
JCSS
2000
121views more  JCSS 2000»
13 years 7 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 7 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 7 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 11 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 8 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