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AFPAC
2000
Springer
267views Mathematics» more  AFPAC 2000»
14 years 10 hour ago
The Lie Model for Euclidean Geometry
Abstract. In this paper we investigate the Lie model of Lie sphere geometry using Clifford algebra. We employ it to Euclidean geometric problems involving oriented contact to simpl...
Hongbo Li
ITA
2007
13 years 7 months ago
Recursive coalgebras of finitary functors
Abstract For finitary set functors preserving inverse images several concepts of coalgebras A are proved to be equivalent: (i) A has a homomorphism into the initial algebra, (ii) ...
Jirí Adámek, Dominik Lücke, Ste...
FPLE
1995
13 years 11 months ago
Explaining Algebraic Theory with Functional Programs
Abstract. A hierarchy of six important structures from abstract algebra (groups, rings, fields etc.) is introduced as Gofer class definitions and laws about them. Many instance d...
Jeroen Fokker
LPAR
2005
Springer
14 years 1 months ago
Algebraic Intruder Deductions
Abstract. Many security protocols fundamentally depend on the algebraic properties of cryptographic operators. It is however difficult to handle these properties when formally anal...
David A. Basin, Sebastian Mödersheim, Luca Vi...
AISC
2004
Springer
13 years 11 months ago
Four Approaches to Automated Reasoning with Differential Algebraic Structures
While implementing a proof for the Basic Perturbation Lemma (a central result in Homological Algebra) in the theorem prover Isabelle one faces problems such as the implementation o...
Jesús Aransay, Clemens Ballarin, Julio Rubi...