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An intuitionistic version of Applicative Matching Logic is presented, based on complete Heyting algebras, and a proof system is proposed which is proved to be sound relative to this semantics.
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We present work in progress towards an intuitionistic version of Applicative Matching Logic.We introduce a semantics based on complete Heyting algebras, and propose a proof system which we prove to be sound relative to this semantics.
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@article{Cheval2026Complete,
title = {Complete Heyting Algebra Semantics for an Intuitionistic Version of Matching Logic (Extended Abstract)},
author = {Horaţiu Cheval},
journal = {Electronic Proceedings in Theoretical Computer Science},
year = {2026},
doi = {10.4204/eptcs.452.14},
url = {https://doi.org/10.4204/eptcs.452.14}
}FAQ
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