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CCCG
2003
14 years 11 months ago
On the Complexity of Halfspace Volume Queries
Given a polyhedron P in Rd with n vertices, a halfspace volume query asks for the volume of P ∩ H for a given halfspace H. We show that, for d ≥ 3, such queries can require ...
Erik D. Demaine, Jeff Erickson, Stefan Langerman
CCCG
2003
14 years 11 months ago
The Strange Complexity of Constrained Delaunay Triangulation
The problem of determining whether a polyhedron has a constrained Delaunay tetrahedralization is NP-complete. However, if no five vertices of the polyhedron lie on a common spher...
Nicolas Grislain, Jonathan Richard Shewchuk
ACL
1990
14 years 11 months ago
The Computational Complexity of Avoiding Conversational Implicatures
Referring expressions and other object descriptions should be maximal under the Local Brevity, No Unnecessary Components, and Lexical Preference preference rules; otherwise, they ...
Ehud Reiter
APAL
2004
81views more  APAL 2004»
14 years 9 months ago
The complexity of first-order and monadic second-order logic revisited
The model-checking problem for a logic L on a class C of structures asks whether a given L-sentence holds in a given structure in C. In this paper, we give super-exponential lower...
Markus Frick, Martin Grohe
IJCAI
2007
14 years 11 months ago
Counting Complexity of Propositional Abduction
Abduction is an important method of non-monotonic reasoning with many applications in artificial intelligence and related topics. In this paper, we concentrate on propositional ab...
Miki Hermann, Reinhard Pichler