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CORR
1999
Springer
124views Education» more  CORR 1999»
13 years 7 months ago
An Algebraic Programming Style for Numerical Software and its Optimization
The abstract mathematical theory of partial differential equations (PDEs) is formulated in terms of manifolds,scalar fields, tensors, and the like, but these algebraic structures a...
T. B. Dinesh, Magne Haveraaen, Jan Heering
JLP
2010
125views more  JLP 2010»
13 years 6 months ago
Algebraic simulations
Abstract. ComputationalsystemsareoftenrepresentedbymeansofKripkestructures, and related using simulations. We propose rewriting logic as a flexible and executable framework in whi...
José Meseguer, Miguel Palomino, Narciso Mar...
SAMOS
2010
Springer
13 years 6 months ago
Accelerating high-level engineering computations by automatic compilation of Geometric Algebra to hardware accelerators
Abstract—Geometric Algebra (GA), a generalization of quaternions, is a very powerful form for intuitively expressing and manipulating complex geometric relationships common to en...
Jens Huthmann, Peter Muller, Florian Stock, Dietma...
FAC
2000
124views more  FAC 2000»
13 years 7 months ago
Algebraic Models of Correctness for Microprocessors
In this paper we present a method of describing microprocessors at different levels of temporal and data abstraction. We consider microprogrammed, pipelined and superscalar proces...
Anthony C. J. Fox, Neal A. Harman
ACS
2006
13 years 7 months ago
Categorical Abstract Algebraic Logic: Leibniz Equality and Homomorphism Theorems
cal Abstract Algebraic Logic: Leibniz Equality and Homomorphism Theorems George Voutsadakis Received: 24 May 2006 / Accepted: 28 August 2006 / Published online: 25 October 2006
George Voutsadakis