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Functional Pearl: Polytypic Unification (0)
| Citations: | 13 - 3 self |
BibTeX
@MISC{Jeuring_functionalpearl:,
author = {Patrik Jansson and Johan Jeuring and Patrik Jansson and Johan Jeuring},
title = {Functional Pearl: Polytypic Unification},
year = {}
}
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Abstract
Unification, or two-way pattern matching, is the process of solving an equation involving two first-order terms with variables. Unification is used in type inference in many programming languages and in the execution of logic programs. This means that unification algorithms have to be written over and over again for different term types. Many other functions also make sense for a large class of datatypes; examples are pretty printers, equality checks, maps etc. They can be defined by induction on the structure of userdefined datatypes. Implementations of these functions for different datatypes are closely related to the structure of the datatypes. We call such functions polytypic. This paper describes a unification algorithm parametrised on the type of the terms and shows how to use polytypism to obtain a unification algorithm that works for all regular term types.
Keyphrases
polytypic unification unification algorithm functional pearl type inference two-way pattern matching different term type many function many programming language equality check different datatypes large class first-order term pretty printer logic program userdefined datatypes regular term type
