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» Type Classes for Mathematics in Type Theory
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CORR
2011
Springer
167views Education» more  CORR 2011»
12 years 11 months ago
Type Classes for Mathematics in Type Theory
Bas Spitters, Eelis van der Weegen
ITP
2010
178views Mathematics» more  ITP 2010»
13 years 6 months ago
Developing the Algebraic Hierarchy with Type Classes in Coq
We present a new formalization of the algebraic hierarchy in Coq, exploiting its new type class mechanism to make practical a solution formerly thought infeasible. Our approach add...
Bas Spitters, Eelis van der Weegen
TYPES
2007
Springer
13 years 10 months ago
Working with Mathematical Structures in Type Theory
Claudio Sacerdoti Coen, Enrico Tassi
BSL
2002
113views more  BSL 2002»
13 years 4 months ago
Types in logic and mathematics before 1940
Abstract. In this article, we study the prehistory of type theory up to 1910 and its development between Russell and Whitehead's Principia Mathematica ([71], 1910
Fairouz Kamareddine, Twan Laan, Rob Nederpelt