CORR
2007
Springer
13 years 4 months ago
2007
Springer
We compare the expressiveness of two extensions of monadic second-order logic (MSO) over the class of finite structures. The first, counting monadic second-order logic (CMSO), ex...
JAPLL
2008
13 years 4 months ago
2008
A circle graph is the intersection graph of a set of chords of a circle. If a circle graph is prime for the split (or join) decomposition defined by Cunnigham, it has a unique rep...
CORR
2010
Springer
13 years 4 months ago
2010
Springer
Courcelle's famous theorem from 1990 states that any property of graphs definable in monadic second-order logic (MSO2) can be decided in linear time on any class of graphs of ...
ECAI
2010
Springer
13 years 4 months ago
2010
Springer
We introduce and study higher-order coalition logic, a multi modal monadic second-order logic with operators [{x}] expressing that the coalition of all agents satisfying (x) can ac...
CSL
2010
Springer
13 years 5 months ago
2010
Springer
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...
DIMACS
1996
13 years 5 months ago
1996
: We review the expressibility of some basic graph properties in certain fragments of Monadic Second-Order logic, like the set of Monadic-NP formulas. We focus on cases where a pro...
DLT
2004
13 years 5 months ago
2004
New results on the recognizability of sets of finite graphs, hypergraphs and relational structures are presented. The general framework of this research which associates tightly a...
AIML
2008
13 years 6 months ago
2008
abstract. We establish that the quantifier alternation hierarchy of formulae of Second-Order Propositional Modal Logic (SOPML) induces an infinite corresponding semantic hierarchy ...
CSR
2008
Springer
13 years 6 months ago
2008
Springer
We prove that every rational language of words indexed by linear orderings is definable in monadic second-order logic. We also show that the converse is true for the class of langu...
BIRTHDAY
2008
Springer
13 years 6 months ago
2008
Springer
Abstract. Church's Problem, stated fifty years ago, asks for a finitestate machine that realizes the transformation of an infinite sequence into an infinite sequence such tha...