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Undecidability of compass logic

Marx, M. and Reynolds, M. (1999) Undecidability of compass logic. Journal of Logic and Computation, 9 (6). pp. 897-914.

Link to Published Version: http://dx.doi.org/10.1093/logcom/9.6.897
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Abstract

It is known that the tiling technique can be used to give simple proofs of undecidability of various two-dimensional modal and temporal logics. However, up until now, the simplest two-dimensional temporal logic, the compass logic of Venema, has eluded such treatment. We present a new coding of an enumeration of the tiling plane which enables us to show that the compass logic is undecidable.

Item Type: Journal Article
Murdoch Affiliation: School of Information Technology
Publisher: Oxford University Press
URI: http://researchrepository.murdoch.edu.au/id/eprint/36093
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