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arXiv · 2010.01321

Temporal Logic of Minkowski Spacetime

Robin Hirsch·Brett McLean
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Abstract

We present the proof that the temporal logic of two-dimensional Minkowski spacetime is decidable, PSPACE-complete. The proof is based on a type of two-dimensional mosaic. Then we present the modification of the proof so as to work for slower-than-light signals. Finally, a subframe of the slower-than-light Minkowski frame is used to prove the new result that the temporal logic of real intervals with during as the accessibility relation is also PSPACE-complete.

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Robin Hirsch, Brett McLean. 2020-10-03. Temporal Logic of Minkowski Spacetime. https://arxiv.org/abs/2010.01321

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