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JLP
2000
140views more  JLP 2000»
13 years 7 months ago
An abductive event calculus planner
In 1969 Cordell Green presented his seminal description of planning as theorem proving with the situation calculus. The most pleasing feature of Green's account was the negli...
Murray Shanahan
JSYML
2000
66views more  JSYML 2000»
13 years 7 months ago
A Finite Basis Theorem for Residually Finite, Congruence Meet-Semidistributive Varieties
We derive a Mal'cev condition for congruence meet-semidistributivity and then use it to prove two theorems. Theorem A: if a variety in a finite language is congruence meet-sem...
Ross Willard
COMBINATORICS
1998
88views more  COMBINATORICS 1998»
13 years 7 months ago
A Bijective Proof of Garsia's q-Lagrange Inversion Theorem
A q-Lagrange inversion theorem due to A. M. Garsia is proved by means of two sign-reversing, weight-preserving involutions on Catalan trees.
Dan W. Singer
JCT
2008
91views more  JCT 2008»
13 years 6 months ago
A chain theorem for matroids
Tutte's Wheels-and-Whirls Theorem proves that if M is a 3-connected matroid other than a wheel or a whirl, then M has a
James G. Oxley, Charles Semple, Geoff Whittle
JCT
2010
80views more  JCT 2010»
13 years 6 months ago
Shadows and intersections in vector spaces
We prove a vector space analog of a version of the Kruskal-Katona theorem due to Lov´asz. We apply this result to extend Frankl’s theorem on r-wise intersecting families to vec...
Ameera Chowdhury, Balázs Patkós