  Continuous logic extends the multi-valued Lukasiewicz logic by adding a
halving operator on propositions. This extension is designed to give a more
satisfactory model theory for continuous structures. The semantics of these
logics can be given using specialisations of algebraic structures known as
hoops. As part of an investigation into the metatheory of propositional
continuous logic, we were indebted to Prover9 for finding a proof of an
important algebraic law.
