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GNU LESSER GENERAL PUBLIC LICENSE | ||
Version 3, 29 June 2007 | ||
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Copyright (C) 2007 Free Software Foundation, Inc. <https://fsf.org/> | ||
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This version of the GNU Lesser General Public License incorporates | ||
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# Trocq | ||
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Trocq is a prototype of a modular parametricity plugin for Coq, aiming | ||
to perform proof transfer by translating the goal into an associated | ||
goal featuring the target data structures as well as a rich | ||
parametricity witness from which a function justifying the goal | ||
substitution can be extracted. | ||
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The plugin features a hierarchy of parametricity witness types, | ||
ranging from structure-less relations to a new formulation of type | ||
equivalence, gathering several pre-existing parametricity | ||
translations, including | ||
[univalent parametricity](https://doi.org/10.1145/3429979) and | ||
[CoqEAL](https://github.com/coq-community/coqeal), in the same framework. | ||
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This modular translation performs a fine-grained analysis and | ||
generates witnesses that are rich enough to preprocess the goal yet | ||
are not always a full-blown type equivalence, allowing to perform | ||
proof transfer with the power of univalent parametricity, but trying | ||
not to pull in the univalence axiom in cases where it is not required. | ||
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The translation is implemented in Coq-Elpi and features transparent | ||
and readable code with respect to a sequent-style theoretical presentation. | ||
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## How to reproduce the results of the paper | ||
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todo | ||
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## Relation between the files and the theoretical presentation in the paper | ||
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todo |
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# Requirements | ||
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Trocq can be installed by using the provided Makefile, which mainly uses the `coq-trocq.opam` Opam file listing the various dependencies of the project. They can be installed on the fly from a blank switch. The main software requirement is therefore having Opam installed on your machine. | ||
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This plugin was tested on Linux and macOS. |
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# Badges applied for | ||
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We apply for the Functional, Reusable and Available badges on this artifact. | ||
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## Functional | ||
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We believe that this artifact covers the content of the paper. Indeed, the Coq files include a formalisation of the parametricity witness types presented in the paper, proofs of equivalence of the highest witness type with univalent parametricity, and various lemmas (symmetry, reflexivity, *etc.*). The fact that these proofs are formal proofs gives extra confidence that our results are correct. The Elpi files contain a parametricity framework implementation on top of this hierarchy of parametricity witness types. The architecture of the plugin enables the presentation of readable code, such as the `param.elpi` file corresponding to the core of the inference rules presented in the paper. | ||
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## Reusable | ||
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This artifact is in reality a specially packaged version of a Coq plugin that, as such, aims to be installed by a substantial number of users and to evolve with the proof assistant in the mid term. To that end, we provide extensive documentation, both for users and developers, and the architecture of the plugin is made so that a user can actually make use of it in conditions of a real Coq formalisation. | ||
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## Available | ||
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todo (Zenodo?) |