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Work-in-Progress: A Tactic for Pattern Matching in Autosubst

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Abstract


Autosubst enables automatic equality-checking up to the sigma-calculus for assumption-free equalities, allowing users to avoid cumbersome reasoning about de Bruijn indices. While effective in many cases, this approach is inapplicable when matching against typing rules, reduction relations, or lemmas, requiring users to either phrase typing rules in a way that they work with Autosubst or even stating explicitly an alternative de Bruijn term. But even without beta-reduction, solutions of matching may not be unique.

This paper presents a work-in-progress method for automatically pattern matching against assumptions, evaluated on standard case studies including the POPLMark and POPLMark Reloaded challenges.
Original languageEnglish
Title of host publicationProceedings of the 21st Workshop on Logical Frameworks and Meta Languages: Theory and Practice
PublisherOpen Publishing Association
Pages47-57
Number of pages11
DOIs
Publication statusPublished - 24 Jul 2026
Event21st Workshop on Logical Frameworks and Meta Languages 2026 - Lisbon, Portugal
Duration: 24 Jul 2026 → …

Publication series

NameElectronic Proceedings in Theoretical Computer Science
Volume448
ISSN (Electronic)2075-2180

Workshop

Workshop21st Workshop on Logical Frameworks and Meta Languages 2026
Abbreviated titleLFMTP 2026
Country/TerritoryPortugal
CityLisbon
Period24/07/26 → …

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