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CCCG
2003
13 years 9 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
13 years 9 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
13 years 8 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»
13 years 7 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
13 years 9 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