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53
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APL
1992
ACM
15 years 1 months ago
Challenging the Mathematics Curriculum
Ready access to computing power through APL opens new avenues for mathematical experimentation and new strategies for developing concepts in the teaching of basic engineering math...
Walter G. Spunde
APAL
2005
83views more  APAL 2005»
14 years 9 months ago
Reflections on reflections in explicit mathematics
We give a broad discussion of reflection principles in explicit mathematics, thereby addressing various kinds of universe existence principles. The proof-theoretic strength of the...
Gerhard Jäger, Thomas Strahm
APAL
2002
79views more  APAL 2002»
14 years 9 months ago
Extending the system T0 of explicit mathematics: the limit and Mahlo axioms
In this paper we discuss extensions of Feferman's theory T0 for explicit mathematics by the so-called limit and Mahlo axioms and present a novel approach to constructing natu...
Gerhard Jäger, Thomas Studer
CIE
2007
Springer
15 years 3 months ago
RZ: A Tool for Bringing Constructive and Computable Mathematics Closer to Programming Practice
Realizability theory is not just a fundamental tool in logic and computability. It also has direct application to the design and implementation of programs, since it can produce co...
Andrej Bauer, Christopher A. Stone
77
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COSIT
2007
Springer
120views GIS» more  COSIT 2007»
15 years 3 months ago
Relations in Mathematical Morphology with Applications to Graphs and Rough Sets
Rough sets have been applied in spatial information theory to construct theories of granularity – presenting information at different levels of detail. Mathematical morphology c...
John G. Stell