Language Design for Scalable, Extensible Proof Engineering

Abstract

Certified compilers are complex software systems. Like other large systems, they demand modular, extensible designs. While there has been progress in extensible metatheory mechanization, scaling extensibility and reuse to meet the demands of full compiler verification remains a major challenge.

We respond to this challenge by introducing novel expressive power to a proof language. Our language design equips the Rocq prover with an extensibility mechanism inspired by the object-oriented ideas of late binding, mixin composition, and family polymorphism. We implement our design as a plugin for Rocq, called Rocqet. We identify strategies for using Rocqet’s new expressive power to modularize the monolithic design of large certified developments as complex as the CompCert compiler. The payoff is a high degree of modularity and reuse in the formalization of intermediate languages, ISAs, compiler transformations, and compiler extensions, with the ability to compose these reusable components — certified compilers à la carte. We report significantly improved proof-compilation performance compared to earlier work on extensible metatheory mechanization. We also report good performance of the extracted compiler.