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ENTCS
2006
117views more  ENTCS 2006»
13 years 4 months ago
Monadic Second-Order Logic and Transitive Closure Logics over Trees
Model theoretic syntax is concerned with studying the descriptive complexity of grammar formalisms for natural languages by defining their derivation trees in suitable logical for...
Hans-Jörg Tiede, Stephan Kepser
JSYML
2002
170views more  JSYML 2002»
13 years 4 months ago
Representability in Second-Order Propositional Poly-Modal Logic
A propositional system of modal logic is second-order if it contains quantifiers p and p, which, in the standard interpretation, are construed as ranging over sets of possible worl...
Gian Aldo Antonelli, Richmond H. Thomason
FUIN
2010
83views more  FUIN 2010»
13 years 1 months ago
Expressing Cardinality Quantifiers in Monadic Second-Order Logic over Trees
We study an extension of monadic second-order logic of order with the uncountability quantifier "there exist uncountably many sets". We prove that, over the class of fini...
Vince Bárány, Lukasz Kaiser, Alexand...
PODS
2008
ACM
143views Database» more  PODS 2008»
14 years 4 months ago
XPath, transitive closure logic, and nested tree walking automata
We consider the navigational core of XPath, extended with two operators: the Kleene star for taking the transitive closure of path expressions, and a subtree relativisation operat...
Balder ten Cate, Luc Segoufin