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DAGSTUHL
2006
15 years 8 months ago
A note on the size of Craig Interpolants
Mundici considered the question of whether the interpolant of two propositional formulas of the form F G can always have a short circuit description, and showed that if this is t...
Uwe Schöning, Jacobo Torán
CORR
2006
Springer
88views Education» more  CORR 2006»
15 years 6 months ago
Polynomial Time Nondimensionalisation of Ordinary Differential Equations via their Lie Point Symmetries
Lie group theory states that knowledge of a m-parameters solvable group of symmetries of a system of ordinary differential equations allows to reduce by m the number of equation. ...
Evelyne Hubert, Alexandre Sedoglavic
SIGACT
2008
103views more  SIGACT 2008»
15 years 6 months ago
Computational geometry column 50
Two long-open problems have been solved: (1) every sufficiently large planar point set in general position contains the vertices of an empty hexagon; (2) every finite collection o...
Joseph O'Rourke
LOGCOM
2007
126views more  LOGCOM 2007»
15 years 6 months ago
Causality and Counterfactuals in the Situation Calculus
Structural causal models offer a popular framework for exploring causal concepts. However, due to their limited expressiveness, structural models have difficulties coping with su...
Mark Hopkins, Judea Pearl
DCG
2010
121views more  DCG 2010»
15 years 4 months ago
Compression Schemes, Stable Definable Families, and o-Minimal Structures
We show that any family of sets uniformly definable in an ominimal structure has an extended compression scheme of size equal to the number of parameters in the defining formula. ...
H. R. Johnson, M. C. Laskowski