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LICS
2010
IEEE
13 years 6 months ago
Fixed-Point Definability and Polynomial Time on Graphs with Excluded Minors
We prove that fixed-point logic with counting captures polynomial time on all classes of graphs with excluded minors. That is, for every class C of graphs such that some graph H is...
Martin Grohe
CORR
2008
Springer
121views Education» more  CORR 2008»
13 years 8 months ago
Graph Algorithms for Improving Type-Logical Proof Search
Proof nets are a graph theoretical representation of proofs in various fragments of type-logical grammar. In spite of this basis in graph theory, there has been relatively little ...
Richard Moot
SEFM
2005
IEEE
14 years 2 months ago
Description Logics for Shape Analysis
Verification of programs requires reasoning about sets of program states. In case of programs manipulating pointers, program states are pointer graphs. Verification of such prog...
Lilia Georgieva, Patrick Maier
ASP
2003
Springer
14 years 1 months ago
Properties of maximal cliques of a pair-wise compatibility graph for three nonmonotonic reasoning system
In this paper we define the notion of a compatibility relation so as to have a common framework for three nonmonotonic reasoning systems: normal logic programming, extended logic ...
Robert E. Mercer, Vincent Risch
ENTCS
2007
104views more  ENTCS 2007»
13 years 8 months ago
Lazy Context Cloning for Non-Deterministic Graph Rewriting
We define a rewrite strategy for a class of non-confluent constructor-based term graph rewriting systems and discuss its correctness. Our strategy and its extension to narrowing...
Sergio Antoy, Daniel W. Brown, Su-Hui Chiang