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IJAR
2002
109views more  IJAR 2002»
13 years 8 months ago
The application of the matrix calculus to belief functions
The mathematics of belief functions can be handled with the use of the matrix notation. This representation helps greatly the user thanks to its notational simplicity and its effi...
Philippe Smets
ICPR
2010
IEEE
14 years 3 months ago
Fast and Accurate Approximation of the Euclidean Opening Function in Arbitrary Dimension
In this paper, we present a fast and accurate approximation of the Euclidean opening function which is a wide-used tool in morphological mathematics to analyze binary shapes since...
David Coeurjolly
CORR
2008
Springer
93views Education» more  CORR 2008»
13 years 8 months ago
A computer verified, monadic, functional implementation of the integral
We provide a computer verified exact monadic functional implementation of the Riemann integral in type theory. Together with previous work by O'Connor, this may be seen as the...
Russell O'Connor, Bas Spitters
ROOM
2000
13 years 10 months ago
Object-Oriented Refinement and Proof using Behaviour Functions
This paper proposes a new calculus for expressing the behaviour of object-oriented systems. The semantics of the calculus is given in terms of operators from computational categor...
Tony Clark
CJ
2010
80views more  CJ 2010»
13 years 8 months ago
Verifying a Synthesized Implementation of IEEE-754 Floating-Point Exponential Function using HOL
rder logic (HOL) theorem prover. The high ability of abstraction in the HOL verification system allows its use for the verification task over the whole design path of the circuit, ...
Behzad Akbarpour, Amr T. Abdel-Hamid, Sofiè...