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Backus 1 has developed an elegant method of defining well-formed formulas for computer languages such as ALGOL. It consists of (our notation is slightly different from that of Backus): A finite alphabet: a 1 , a 2 , …, a t ; Predicates: P 1 , P 2 , …, P ϵ ; Productions, either of the form (a) a j ∈ P i ;
David G. Cantor (Mon,) studied this question.