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JSC
2002
84views more  JSC 2002»
13 years 8 months ago
A Constructive Algebraic Hierarchy in Coq
We describe a framework of algebraic structures in the proof assistant Coq. We have developed this framework as part of the FTA project in Nijmegen, in which a constructive proof ...
Herman Geuvers, Randy Pollack, Freek Wiedijk, Jan ...
ICASSP
2009
IEEE
14 years 3 months ago
Bispectrum on finite groups
The algebraic theory of finite groups appears in signal processing problems involving the statistical analysis of ranked data and the construction of invariants for pattern recog...
Ramakrishna Kakarala
FPLE
1995
14 years 10 days 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
FOCM
2010
143views more  FOCM 2010»
13 years 7 months ago
Algebraic Structures of B-series
B-series are a fundamental tool in practical and theoretical aspects of numerical integrators for ordinary differential equations. A composition law for B-series permits an elega...
Philippe Chartier, Ernst Hairer, Gilles Vilmart
AMAST
1991
Springer
14 years 9 days ago
Event Spaces and their Linear Logic
Boolean logic treats disjunction and conjunction symmetrically and algebraically. The corresponding operations for computation are respectively nondeterminism (choice) and concurr...
Vaughan R. Pratt