Types and Programs from Euler Diagrams

Authors:
James Burton
Affiliations:
Visual Modelling Group, University of Brighton, UK
Venue:
Diagrams '08 Proceedings of the 5th international conference on Diagrammatic Representation and Inference
Year:
2008

Citing 3
Cited 0

Programming in Martin-Lo¨f's type theory: an introduction

Programming in Martin-Lo¨f's type theory: an introduction
Automated Theorem Proving in Euler Diagram Systems

Journal of Automated Reasoning
Evaluating and generalizing constraint diagrams

Journal of Visual Languages and Computing

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Abstract

Type theory provides a formal basis for programming languages and can also be used to model reasoning systems such as Euler diagrams. We present part of a simple type theory of Euler diagrams. Expressing a system of reasoning with Euler diagrams as a collection of types and operations on types (which correspond to diagrams and reasoning rules) is a first step towards embedding visually modelled constraints directly into the type system of a programming language.