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» Exact arithmetic on the Stern-Brocot tree
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DGCI
2006
Springer
13 years 10 months ago
Revisiting Digital Straight Segment Recognition
Abstract. This paper presents new results about digital straight segments, their recognition and related properties. They come from the study of the arithmetically based recognitio...
François de Vieilleville, Jacques-Olivier L...
CIE
2005
Springer
13 years 11 months ago
Formalising Exact Arithmetic in Type Theory
In this work we focus on a formalisation of the algorithms of lazy exact arithmetic `a la Potts and Edalat [1]. We choose the constructive type theory as our formal verification t...
Milad Niqui
MST
2007
168views more  MST 2007»
13 years 5 months ago
Productivity of Edalat-Potts Exact Arithmetic in Constructive Type Theory
In this work we focus on a formalisation of the algorithms of lazy exact arithmetic `a la Edalat–Potts in type theory. We choose the constructive type theory extended with coind...
Milad Niqui
ICALP
2009
Springer
14 years 6 months ago
Limits and Applications of Group Algebras for Parameterized Problems
The algebraic framework introduced in [Koutis, Proc. of the 35th ICALP 2008] reduces several combinatorial problems in parameterized complexity to the problem of detecting multili...
Ioannis Koutis, Ryan Williams