Towards Visual Type Theory as a Mathematical Tool and Mathematical User Interface

TL;DR

This paper explores the development of a visual type theory called NPM as a cognitive and user interface tool for mathematical knowledge management, emphasizing its potential as a spatial text adjunct.

Contribution

It introduces the concept of a visual type theory as a mathematical user interface and reports progress on developing the NPM system for mathematical knowledge management.

Findings

Progress towards a usable mathematical visual type theory

NPM as an early-stage project in mathematical knowledge management

Discussion of future directions for visual type theory development

Abstract

A visual type theory is a cognitive tool that has much in common with language, and may be regarded as an exceptional form of spatial text adjunct. A mathematical visual type theory, called NPM, has been under development that can be viewed as an early-stage project in mathematical knowledge management and mathematical user interface development. We discuss in greater detail the notion of a visual type theory, report on progress towards a usable mathematical visual type theory, and discuss the outlook for future work on this project.