{"about":{"site":"https://codewithpapers.app","non_affiliation":"Code with Papers and Syntology are not affiliated with, endorsed by, or sponsored by Papers with Code, Meta, or the pwc-archive mirror.","licence":"CC BY-SA 4.0","licence_url":"https://creativecommons.org/licenses/by-sa/4.0/legalcode","attribution":"https://codewithpapers.app/attribution","modified":"archive material modified by Syntology; see the attribution page"},"url":"/paper/generating-induction-principles-and-subterm","title":"Generating induction principles and subterm relations for inductive types using MetaCoq","arxiv_id":"2006.15135","date":"2020-06-25","proceeding":null,"authors":["Bohdan Liesnikov","Marcel Ullrich","Yannick Forster"],"abstract":"We implement three Coq plugins regarding inductive types in MetaCoq. The first plugin is a simple syntax transformation generating alternative constructors for inductive types by abstracting over concrete indices in the types of the constructors. The second plugin re-implements Coq's $\\texttt{Scheme Induction}$ command in MetaCoq, and extends it to nested inductive types, e.g. types like rose trees which use $\\texttt{list}$ in their definition, similar to the Elpi-plugin by Tassi. The third plugin implements the $\\texttt{Derive Subterm}$ command provided by the Equations package in MetaCoq.","url_abs":"http://arxiv.org/abs/2006.15135v1","url_pdf":"http://arxiv.org/pdf/2006.15135v1.pdf","source":{"archive":"pwc-archive (Hugging Face), CC BY-SA 4.0","snapshot":"2025-07-28","licence_url":"https://creativecommons.org/licenses/by-sa/4.0/legalcode","row_kind":"links_only","authors_date_abstract":"arXiv metadata, CC0 1.0 (https://info.arxiv.org/help/license), from the Kaggle arXiv metadata snapshot of 2026-09-12"},"code_links":[{"paper_slug":"generating-induction-principles-and-subterm","repo_url":"https://github.com/uds-psl/metacoq-examples-coqws","is_official":1,"mentioned_in_paper":1,"mentioned_in_github":0,"framework":"none","reach":null}],"tasks":[],"methods":[],"datasets_introduced":[],"methods_introduced":[],"results":[],"syntology":{"atlas_url":null,"mcp":null,"developers":"https://syntology.ai/developers"},"arxiv_metadata":null,"syntology_extracted_results":null}