Inductively Defined Types in the Calculus of Constructions
Proceedings of the 5th International Conference on Mathematical Foundations of Programming Semantics
Inductive Definitions in the system Coq - Rules and Properties
TLCA '93 Proceedings of the International Conference on Typed Lambda Calculi and Applications
An Automatic Calculator with Penrose Diagrams
EUROCAST '97 Proceedings of the A Selection of Papers from the 6th International Workshop on Computer Aided Systems Theory
COLOG '88 Proceedings of the International Conference on Computer Logic
Interactive Theorem Proving and Program Development
Interactive Theorem Proving and Program Development
Graphical reasoning in compact closed categories for quantum computation
Annals of Mathematics and Artificial Intelligence
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In paper Molinelli et al, 1998 a general model allowing the integration of different kinds of calculus with diagrams appearing in several fields of Science and Engineering was introduced. And also, a computer aided system enabling some manipulation of this graphical stuff was presented. Traditionally most of these diagrams have been used as an aid in the development of complex calculus, although the lack of a solid theoretical foundation has prevent the existence of practical tools. As a contribution to that necessary background, we present here an implementation of the diagrams using Coq and a first discussion on the confluence of the rewriting based on the interchange law.