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math.LO2020
Temporal Logic of Minkowski Spacetime
Robin Hirsch, Brett McLean
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 p…
math.LO2020
First-order axiomatisations of representable relation algebras need formulas of unbounded quantifier depth
Rob Egrot, Robin Hirsch
Using a variation of the rainbow construction and various pebble and colouring games, we prove that RRA, the class of all representable relation algebras, cannot be axiomatised by…