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» Developing the Algebraic Hierarchy with Type Classes in Coq
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ITP
2010
178views Mathematics» more  ITP 2010»
13 years 7 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
JSC
2002
84views more  JSC 2002»
13 years 4 months ago
A Constructive Algebraic Hierarchy in Coq
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 ...
Herman Geuvers, Randy Pollack, Freek Wiedijk, Jan ...
TPHOL
1999
IEEE
13 years 9 months ago
Universal Algebra in Type Theory
We present a development of Universal Algebra inside Type Theory, formalized using the proof assistant Coq. We define the notion of a signature and of an algebra over a signature. ...
Venanzio Capretta
ICFP
2006
ACM
14 years 5 months ago
Modular development of certified program verifiers with a proof assistant
I report on an experience using the Coq proof assistant to develop a program verification tool with a machine-checkable proof of full correctness. The verifier is able to prove me...
Adam J. Chlipala
TOOLS
1999
IEEE
13 years 9 months ago
Class Algebra for Ontology Reasoning
Class algebra provides a natural framework for sharing of ISA hierarchies between users that may be unaware of each other's definitions. This permits data from relational dat...
Daniel J. Buehrer, Chee-Hwa Lee