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» On the logic of argumentation theory
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JCT
2006
110views more  JCT 2006»
15 years 6 months ago
Branch-width, parse trees, and monadic second-order logic for matroids
Abstract. We introduce "matroid parse trees" which, using only a limited amount of information at each node, can build up the vector representations of matroids of bounde...
Petr Hlinený
JACM
2002
122views more  JACM 2002»
15 years 6 months ago
Cosmological lower bound on the circuit complexity of a small problem in logic
An exponential lower bound on the circuit complexity of deciding the weak monadic second-order theory of one successor (WS1S) is proved. Circuits are built from binary operations, ...
Larry J. Stockmeyer, Albert R. Meyer
CSL
2006
Springer
15 years 10 months ago
On Rational Trees
Rational graphs are a family of graphs defined using labelled rational transducers. Unlike automatic graphs (defined using synchronized transducers) the first order theory of these...
Arnaud Carayol, Christophe Morvan
JAPLL
2006
87views more  JAPLL 2006»
15 years 6 months ago
Is ZF a hack?: Comparing the complexity of some (formalist interpretations of) foundational systems for mathematics
This paper presents Automath encodings (which also are valid in LF/P) of various kinds of foundations of mathematics. Then it compares these encodings according to their size, to f...
Freek Wiedijk
LPNMR
2001
Springer
15 years 11 months ago
plp: A Generic Compiler for Ordered Logic Programs
Abstract This paper describes a generic compiler, called plp, for translating ordered logic programs into standard logic programs under the answer set semantics. In an ordered logi...
James P. Delgrande, Torsten Schaub, Hans Tompits