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math.LO2024★ 2 cited
Hyperformalism for Bunched Natural Deduction Systems
Shay Allen Logan, Blane Worley
Logics closed under classes of substitutions broader than class of uniform substitutions are known as hyperformal logics. This paper extends known results about hyperformal logics…
math.LO2024
Topics, Non-Uniform Substitutions, and Variable Sharing
Shawn Standefer, Shay Allen Logan, Thomas Macaulay Ferguson
The family of relevant logics can be faceted by a hierarchy of increasingly fine-grained variable sharing properties -- requiring that in valid entailments , some atom must…