Specifying Data Objects with Initial Algebras

TL;DR

This paper introduces a systematic method for specifying data objects using initial algebras, applicable in functional programming languages like Haskell and ML, enhancing the formal understanding of data type definitions.

Contribution

It formalizes the use of initial algebras for data specification, bridging theoretical foundations with practical programming language applications.

Findings

Provides a formal framework for data object specification

Demonstrates applicability to Haskell and ML

Enhances understanding of data type definitions in functional programming

Abstract

This study presents a systematic approach to specifying data objects with the help of initial algebras. The primary aim is to describe the set-up to be found in modern functional programming languages such as Haskell and ML, although it can also be applied to more general situations.