If I said anything so complicated to a dog, I'd say "reduce your treat by half". Or perhaps Under the conditions of the "disobedience theorem", N2 = N1 / 2, where N1 is the first treat and N2 is the next treat. But isn't this rather like teaching a rat calculus?
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New2grammarIs cut down more formal?No. It's the other way around. Phrasal verbs are usually more informal.