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» Axiomatizing geometric constructions
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TYPES
2000
Springer
14 years 5 days ago
A Constructive Proof of the Fundamental Theorem of Algebra without Using the Rationals
Abstract. In the FTA project in Nijmegen we have formalized a constructive proof of the Fundamental Theorem of Algebra. In the formalization, we have first defined the (constructiv...
Herman Geuvers, Freek Wiedijk, Jan Zwanenburg
PPDP
2000
Springer
14 years 5 days ago
Symmetric monoidal sketches
We introduce and develop the notion of symmetric monoidal sketch. Every symmetric monoidal sketch generates a generic model. If the sketch is commutative and single-sorted, the gen...
Martin Hyland, John Power
ITICSE
2003
ACM
14 years 1 months ago
Studying program correctness by constructing contracts
Because the concept of program correctness is generally taught as an activity independent of the programming process, most introductory computer science (CS) students perceive it ...
Timothy S. Gegg-Harrison, Gary R. Bunce, Rebecca D...
IMAMS
2007
119views Mathematics» more  IMAMS 2007»
13 years 10 months ago
Propagation of Geometric Tolerance Zones in 3D
This paper considers error propagation in three dimensional geometric constructions using a geometric approach. First, we present definitions and constructions of tolerance zones ...
Song-Hai Zhang, Qi-Hui Zhu, Ralph R. Martin
SPATIALCOGNITION
1998
Springer
14 years 24 days ago
Shape Nouns and Shape Concepts: A Geometry for 'Corner'
This paper investigates geometric and ontological aspects of shape concepts underlying the semantics of nouns. Considering the German shape nouns Ecke and Knick (corner and kink) w...
Carola Eschenbach, Christopher Habel, Lars Kulik, ...