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» The Extension Theorem
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COMPGEOM
2007
ACM
13 years 11 months ago
An optimal generalization of the centerpoint theorem, and its extensions
We prove an optimal generalization of the centerpoint theorem: given a set P of n points in the plane, there exist two points (not necessarily among input points) that hit all con...
Saurabh Ray, Nabil H. Mustafa
LPAR
2007
Springer
14 years 1 months ago
Zenon : An Extensible Automated Theorem Prover Producing Checkable Proofs
Abstract. We present Zenon, an automated theorem prover for first order classical logic (with equality), based on the tableau method. Zenon is intended to be the dedicated prover ...
Richard Bonichon, David Delahaye, Damien Doligez
DM
2007
68views more  DM 2007»
13 years 7 months ago
Extension of Arrow's theorem to symmetric sets of tournaments
Arrow’s impossibility theorem [1] shows that the set of acyclic tournaments is not closed to non dictatorial Boolean aggregation. In this paper we extend the notion of aggregati...
Eyal Beigman
APAL
2010
90views more  APAL 2010»
13 years 7 months ago
Canonical extensions for congruential logics with the deduction theorem
We introduce a new and general notion of canonical extension for algebras in the algebraic counterpart AlgS of any finitary and congruential logic S. This definition is logic-base...
Mai Gehrke, Ramon Jansana, Alessandra Palmigiano
APPML
2007
101views more  APPML 2007»
13 years 7 months ago
Extension of a theorem of Whitney
It is shown that every planar graph with no separating triangles is a subgraph of a Hamiltonian planar graph; that is, Whitney’s theorem holds without the assumption of a triang...
Paul C. Kainen, Shannon Overbay