cDOT soundness proof

This repository contains the mechanised proof of soundness for the OOPSLA 2022 paper "A case for DOT: Theoretical Foundations for Objects With Pattern Matching and GADT-style Reasoning".

Inspecting the proof

The initial "kick the tires" guide for getting started with the mechanisation can be found here and as a PDF here.

The detailed "step by step" guide explaining how to inspect the mechanised proof can be found here and as a PDF here.

Structure

• The cdot/ directory contains sources of the mechanization of the iDOT calculus. The proof is an extension of pDOT soundness proof.
• The lambda2GMu/ directory contains sources of the mechanization of the Lambda2Gmu calculus and lambda2GMu_annotated/ contains sources of the variant with additional type annotations, as described in the paper.
• The translation/ directory contains lemmas related to the translation: the typing of the lib term and an example showing inversion of tuple equality using our added inversion rules.