Continued operation notation for symbol manipulation and array processing

Abstract

A brief account is given of a notational device that is very useful in the formal representation of syntaxes, string relationships and string transformation procedures and also of computing procedures that deal with arrays of functions of many variables. The device consists of the use of certain “continued operation” or “collective” symbols that are analogous to the summation symbol ∑ and continued multiplication symbol ∏ of conventional mathematics.