APL '92 Proceedings of the international conference on APL
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APL '93 Proceedings of the international conference on APL
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This paper describes an extension to the system of parity logic operations developed by Gerard Langlet and subsequently elaborated by Michael Zaus. Two operations, A and B, are introduced which can be used both to analyze and to synthesize arbitrary patterns of l's and O's in square Boolean matrices. The A and B operations are, like most of the operations in Langlet's system, completely reversible (i.e., the input to A or B can be exactly reconstructed its output). The B operation is shown to be connected with Langlet's Helical and Cognitive transforms. Manipulations of binary images are used to illustrate the properties of A and B, but no claim made that they have real-world applications at this time. The A and B algorithms, their supporting operations, and the programming examples are in Q'Nial; however, they can be easily translated APL, J, or other may programming language.