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TCS
2010
13 years 3 months ago
An exact correspondence between a typed pi-calculus and polarised proof-nets
This paper presents an exact correspondence in typing and dynamics between polarised linear logic and a typed -calculus based on IO-typing. The respective incremental constraints,...
Kohei Honda, Olivier Laurent
COMPGEOM
2005
ACM
13 years 10 months ago
On the exact computation of the topology of real algebraic curves
We consider the problem of computing a representation of the plane graph induced by one (or more) algebraic curves in the real plane. We make no assumptions about the curves, in p...
Raimund Seidel, Nicola Wolpert
COMPGEOM
2000
ACM
14 years 5 days ago
Algebraic methods and arithmetic filtering for exact predicates on circle arcs
The purpose of this paper is to present a new method to design exact geometric predicates in algorithms dealing with curved objects such as circular arcs. We focus on the comparis...
Olivier Devillers, Alexandra Fronville, Bernard Mo...
COMPGEOM
2005
ACM
13 years 10 months ago
Shortest path amidst disc obstacles is computable
An open question in Exact Geometric Computation is whether there are transcendental computations that can be made “geometrically exact”. Perhaps the simplest such problem in c...
Ee-Chien Chang, Sung Woo Choi, DoYong Kwon, Hyungj...
IFIP
1998
Springer
14 years 23 days ago
One Sided Error Predicates in Geometric Computing
A conservative implementation of a predicate returns true only if the exact predicate is true. That is, we accept a one sided error for the implementation. For geometric predicate...
Lutz Kettner, Emo Welzl