Relevant S is Undecidable. Knudstorp, S. B. In Proceedings of the 39th Annual ACM/IEEE Symposium on Logic in Computer Science, of LICS '24, New York, NY, USA, 2024. Association for Computing Machinery.
Paper doi abstract bibtex 12 downloads Since the introduction of the semilattice relevant logic S by [Urquhart 1972, 1973], its decision problem has persisted as an open problem.[Urquhart 1984] showed that many relevant logics are undecidable, yet S eluded these techniques. Eventually, this led experts, including [Urquhart 2016], to conjecture that S is decidable. Contrary to this conjecture, by interpreting a tiling problem, we show that S is undecidable.
@inproceedings{10.1145/3661814.3662128,
author = {Knudstorp, S\o{}ren Brinck},
title = {Relevant S is Undecidable},
year = {2024},
isbn = {9798400706608},
publisher = {Association for Computing Machinery},
address = {New York, NY, USA},
url = {https://doi.org/10.1145/3661814.3662128},
doi = {10.1145/3661814.3662128},
abstract = {Since the introduction of the semilattice relevant logic S by [Urquhart 1972, 1973], its decision problem has persisted as an open problem.[Urquhart 1984] showed that many relevant logics are undecidable, yet S eluded these techniques. Eventually, this led experts, including [Urquhart 2016], to conjecture that S is decidable. Contrary to this conjecture, by interpreting a tiling problem, we show that S is undecidable.},
booktitle = {Proceedings of the 39th Annual ACM/IEEE Symposium on Logic in Computer Science},
articleno = {51},
numpages = {8},
keywords = {relevant logic, undecidability, finite model property, tiling, semilattice},
location = {Tallinn, Estonia},
series = {LICS '24}
}
Downloads: 12
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