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» On the Algebraic Structure of Convergence
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ITP
2010
230views Mathematics» more  ITP 2010»
15 years 1 months ago
On the Formalization of the Lebesgue Integration Theory in HOL
Lebesgue integration is a fundamental concept in many mathematical theories, such as real analysis, probability and information theory. Reported higher-order-logic formalizations o...
Tarek Mhamdi, Osman Hasan, Sofiène Tahar
CP
2007
Springer
15 years 3 months ago
Efficient Computation of Minimal Point Algebra Constraints by Metagraph Closure
Abstract. Computing the minimal network (or minimal CSP) representation of a given set of constraints over the Point Algebra (PA) is a fundamental reasoning problem. In this paper ...
Alfonso Gerevini, Alessandro Saetti
ISCI
2010
100views more  ISCI 2010»
14 years 10 months ago
Filters of residuated lattices and triangle algebras
An important concept in the theory of residuated lattices and other algebraic structures used for formal fuzzy logic, is that of a filter. Filters can be used, amongst others, to...
Bart Van Gasse, Glad Deschrijver, Chris Cornelis, ...
ITS
2000
Springer
135views Multimedia» more  ITS 2000»
15 years 3 months ago
Analyzing and Generating Mathematical Models: An Algebra II Cognitive Tutor Design Study
This paper reports a formative analysis of a Math Modeling Tool in the Algebra II Cognitive Tutor. This tutor is designed to support algebraic reasoning about real world problems. ...
Albert T. Corbett, Megan McLaughlin, K. Christine ...
CAI
2007
Springer
15 years 6 months ago
From Algebraic Graph Transformation to Adhesive HLR Categories and Systems
In this paper, we present an overview of algebraic graph transformation in the double pushout approach. Basic results concerning independence, parallelism, concurrency, embedding, ...
Ulrike Prange, Hartmut Ehrig