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» The Calculus of Algebraic Constructions
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POPL
2006
ACM
16 years 6 months ago
A virtual class calculus
Virtual classes are class-valued attributes of objects. Like virtual methods, virtual classes are defined in an object's class and may be redefined within subclasses. They re...
Erik Ernst, Klaus Ostermann, William R. Cook
FPLE
1995
15 years 9 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
ENTCS
2008
91views more  ENTCS 2008»
15 years 6 months ago
Newton's method and the Computational Complexity of the Fundamental Theorem of Algebra
Several different uses of Newton's method in connection with the Fundamental Theorem of Algebra are pointed out. Theoretical subdivision schemes have been combined with the n...
Prashant Batra
AMC
2005
120views more  AMC 2005»
15 years 6 months ago
ICS: a package for computing involutive characteristic set of algebraic partial differential equation systems
A constructive algorithm for the completion of arbitrary algebraic partial differential equation systems to involutive ones are presented. Based on it, an implementation ICS for c...
Shan-Qing Zhang, Gui-Xu Zhang, Zhi-Bin Li
CORR
2007
Springer
151views Education» more  CORR 2007»
15 years 6 months ago
The algebraicity of the lambda-calculus
Abstract. We propose a new definition for abstract syntax (with binding constructions), and, accordingly, for initial semantics and algebraicity. Our definition is based on the n...
André Hirschowitz, Marco Maggesi