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The modal logic of affine planes is not finitely axiomatisable
Published online by Cambridge University Press: 12 March 2014
Abstract
We consider a modal language for affine planes, with two sorts of formulas (for points and lines) and three modal boxes. To evaluate formulas, we regard an affine plane as a Kripke frame with two sorts (points and lines) and three modal accessibility relations, namely the point-line and line-point incidence relations and the parallelism relation between lines. We show that the modal logic of affine planes in this language is not finitely axiomatisable.
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- Research Article
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- Copyright © Association for Symbolic Logic 2008