A Tool for Describing and Checking Natural Semantics Definitions of Programming Languages

TL;DR

This paper introduces a pedagogical metalanguage and tool that facilitate writing, checking, and executing natural semantics definitions of programming languages, aiming to improve teaching and understanding of formal semantics.

Contribution

It presents a novel metalanguage and tool that combine natural semantics notation with automatic correctness verification, enhancing educational support for semantics development.

Findings

Students find the tool helpful for learning semantics.

The tool successfully verifies the meaningfulness of semantics definitions.

It enables execution of well-defined semantics and programs.

Abstract

Many universities have courses and projects revolving around compiler or interpreter implementation as part of their degree programmes in computer science. In such teaching activities, tool support can be highly beneficial. While there are already several tools for assisting with development of the front end of compilers, tool support tapers off towards the back end, or requires more background experience than is expected of undergraduate students. Structural operational semantics is a useful and mathematically simple formalism for specifying the behaviour of programs and a specification lends itself well to implementation; in particular big-step or natural semantics is often a useful and simple approach. However, many students struggle with learning the notation and often come up with ill-defined and meaningless attempts at defining a structural operational semantics. A survey shows that students working on programming language projects feel that tool support is lacking and would be useful. Many of these problems encountered when developing a semantic definition are similar to problems encountered in programming, in particular ones that are essentially the result of type errors. We present a pedagogical metalanguage based on natural semantics, and its implementation, as an attempt to marry two notions: a syntax similar to textbook notation for natural semantics on the one hand, and automatic verification of some correctness properties on the other by means of a strong type discipline. The metalanguage and the tool provide the facilities for writing and executing specifications as a form of programming. The user can check that the specification is not meaningless as well as execute programs, if the specification makes sense.