27 search results - page 1 / 6 » A Constructive Algebraic Hierarchy in Coq |
JSC
2002
13 years 4 months ago
2002
We describe a framework of algebraic structures in the proof assistant Coq. We have developed this framework as part of the FTA project in Nijmegen, in which a constructive proof ...
ITP
2010
13 years 6 months ago
2010
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...
MKM
2004
Springer
13 years 9 months ago
2004
Springer
We present C-CoRN, the Constructive Coq Repository at Nijmegen. It consists of a library of constructive algebra and analysis, formalized in the theorem prover Coq. In this paper w...
TYPES
2000
Springer
13 years 8 months ago
2000
Springer
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...
CORR
2006
Springer
13 years 4 months ago
2006
Springer
In a previous work, we proved that almost all of the Calculus of Inductive Constructions (CIC), the basis of the proof assistant Coq, can be seen as a Calculus of Algebraic Constru...