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• W2171984085 abstract "In this paper, we recall the origins of discrete analytical geometry developed by J-P. Reveilles [1] in the nonstandard model of the continuum based on integers proposed by Harthong and Reeb [2,3]. We present some basis on constructive mathematics [4] and its link with programming [5,6]. We show that a suitable version of this new model of the continuum partly fits with the constructive axiomatic of R proposed by Bridges [7]. The aim of this paper is to take a first look at a possible formal and constructive approach to discrete geometry. This would open the way to better algorithmic definition of discrete differential concepts." @default.
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• W2171984085 date "2008-04-04" @default.
• W2171984085 modified "2023-09-26" @default.
• W2171984085 title "A First Look into a Formal and Constructive Approach for Discrete Geometry Using Nonstandard Analysis" @default.
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• W2171984085 doi "https://doi.org/10.1007/978-3-540-79126-3_4" @default.
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