The need, in computer files of chemical structures, for a unique linear notation in which the ordering is that of the original notation for manual use is questioned.Instead, a notation using the symbols and syntax of a linear notation and the ordering of a canonical connection table from which it can be derived is suggested for use in mechanized systems. A computer program which converts connection table descriptions of acyclic chemical structures into synonyms of correctly-ordered Wiswesser notations is described. Since they bear a one-to-one relation with the canonical connection table, they are themselves canonical, in a particular sense, and can thus be used for registration, as well as for symbol-connectivity searches. Suggestions are made for extension of the procedure to cyclic structures.