Temporal Logic of Minkowski Spacetime
Logic
2022-06-15 v1
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.
Cite
@article{arxiv.2010.01321,
title = {Temporal Logic of Minkowski Spacetime},
author = {Robin Hirsch and Brett McLean},
journal= {arXiv preprint arXiv:2010.01321},
year = {2022}
}