BCK is not Structurally Complete

Tomasz Kowalski

doi:10.1215/00294527-2420642

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Home > Journals > Notre Dame J. Formal Logic > Volume 55 > Issue 2 > Article

2014 BCK is not Structurally Complete

Tomasz Kowalski

Notre Dame J. Formal Logic 55(2): 197-204 (2014). DOI: 10.1215/00294527-2420642

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Abstract

We exhibit a simple inference rule, which is admissible but not derivable in BCK, proving that BCK is not structurally complete. The argument is proof-theoretical.