Beyond Trees: Calculating Graph-Based Compilers (Functional Pearl)

Author:

Bahr Patrick1ORCID,Hutton Graham2ORCID

Affiliation:

1. IT University of Copenhagen, Copenhagen, Denmark

2. University of Nottingham, Nottingham, United Kingdom

Abstract

Bahr and Hutton recently developed an approach to compiler calculation that allows a wide range of compilers to be derived from specifications of their correctness. However, a limitation of the approach is that it results in compilers that produce tree-structured code. By contrast, realistic compilers produce code that is essentially graph-structured, where the edges in the graph represent jumps that transfer the flow of control to other locations in the code. In this article, we show how their approach can naturally be adapted to calculate compilers that produce graph-structured code, without changing the underlying calculational methodology, by using a higher-order abstract syntax representation of graphs.

Funder

Engineering and Physical Sciences Research Council

Publisher

Association for Computing Machinery (ACM)

Reference37 articles.

1. Mads Sig Ager, Dariusz Biernacki, Olivier Danvy, and Jan Midtgaard. 2003. From Interpreter to Compiler and Virtual Machine: A Functional Derivation.. Department of Computer Science, University of Aarhus.

2. Syntax for Free: Representing Syntax with Binding Using Parametricity

3. Roland Backhouse. 2003. Program Construction: Calculating Implementations from Specifications. John Wiley and Sons, Inc..

4. Proving Correctness of Compilers Using Structured Graphs

5. Patrick Bahr and Graham Hutton. 2015. Calculating Correct Compilers. Journal of Functional Programming, 25 (2015).

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