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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
TPHOL
2007
IEEE
14 years 1 months ago
HOL2P - A System of Classical Higher Order Logic with Second Order Polymorphism
Abstract. This paper introduces the logical system HOL2P that extends classical higher order logic (HOL) with type operator variables and universal types. HOL2P has explicit term o...
Norbert Völker
COMBINATORICS
2002
87views more  COMBINATORICS 2002»
13 years 7 months ago
Map Genus, Forbidden Maps, and Monadic Second-Order Logic
A map is a graph equipped with a circular order of edges around each vertex. These circular orders represent local planar embeddings. The genus of a map is the minimal genus of an...
Bruno Courcelle, V. Dussaux
PLANX
2007
13 years 8 months ago
XML Transformation Language Based on Monadic Second Order Logic
Although monadic second-order logic (MSO) has been a foundation of XML queries, little work has attempted to take MSO formulae themselves as a programming construct. Indeed, MSO f...
Kazuhiro Inaba, Haruo Hosoya
TLCA
2009
Springer
14 years 1 months ago
Some Observations on the Proof Theory of Second Order Propositional Multiplicative Linear Logic
Abstract. We investigate the question of what constitutes a proof when quantifiers and multiplicative units are both present. On the technical level this paper provides two new as...
Lutz Straßburger