A dissertation submitted to the Faculty of Science, University of the Witwatersrand, Johannesburg, in fulfilment of requirements for the degree of Master of Science. Johannesburg, February 16, 2015. / Random context picture grammars are used to generate pictures through successive refinement. There are three important subclasses of random context picture grammars, namely random permitting context picture grammars, random forbidding context picture grammars and table-driven context-free picture grammars. These grammars generate the random permitting context picture languages, random forbidding context picture languages and table-driven context-free picture languages, respectively. Theorems exist which provide necessary conditions that have to be satisfied by a language before it can be classified under a particular subclass. Some of these theorems include the pumping and shrinking lemmas, which have been developed for random permitting context picture languages and random forbidding context picture languages respectively. Two characterization theorems were developed for the table-driven context-free picture languages. This dissertation examines these existing theorems for picture languages, i.e., the pumping and shrinking lemmas and the two characterisation theorems, and attempts to prove theorems, which will provide an alternative to the existing theorems and thus provide new tools for identifying languages that do not belong to the various classes. This will be done by adapting Ogden’s idea of marking parts of a word which was done for the string case. Our theorems essentially involve marking parts of a picture such that the pumping operation increases the number of marked symbols and the shrinking operation reduces it.

Thesis (Ph. D.)--University of Tampere, 1985. / Includes bibliographical references (p. 91-94).

Thesis (Ph. D.)--Rutgers University, 1983. / Includes bibliographical references (p. 271-274).

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Thesis (M.Phil.)--Hong Kong University of Science and Technology, 2006. / Includes bibliographical references (leaves 49-50). Also available in electronic version.

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International Telemetering Conference Proceedings / October 30-November 02, 1995 / Riviera Hotel, Las Vegas, Nevada / In its simplest form an automaton can be considered a set of inputs, a process, and a set of outputs. Certainly telemetry can be thought of in this way as well. Automata theory is a cross between mathematics and computer science which considers how to precisely define the inputs, the outputs, and the process of translating the one into the other. The input to an automaton can be described using a formal grammar. Two standard bit stream encodings, PCM matrices and MIL-STD-1553, are described using grammars. An example of how a grammar can be used to decode a bit stream is given. Further, ambiguity and complexity of bit stream encodings are discussed in the context of grammars. It is thus illustrated how grammars can be used to cleanly define and decode telemetry bit streams.