Independence of the Dual Axiom in Modal K with Primitive ◊

Richmond Thomason

doi:10.1215/00294527-3817906

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Home > Journals > Notre Dame J. Formal Logic > Volume 59 > Issue 3 > Article

2018 Independence of the Dual Axiom in Modal

\mathbf{K}

with Primitive

\lozenge

Richmond Thomason

Notre Dame J. Formal Logic 59(3): 381-385 (2018). DOI: 10.1215/00294527-3817906

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Abstract

Explicit axioms relating $\lozenge \phi$ and $\Box \phi$ appear to be needed if $\lozenge$ is taken to be primitive. We prove that such axioms are in fact indispensable.

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Richmond Thomason. "Independence of the Dual Axiom in Modal $\mathbf{K}$ with Primitive $\lozenge$ ." Notre Dame J. Formal Logic 59 (3) 381 - 385, 2018. https://doi.org/10.1215/00294527-3817906