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Derivations in phrase-structure grammars are by now well understood, and it is generally considered convenient to study equivalence classes of derivations rather than individual derivations themselves. It has been established that classes can be represented by canonical derivations, syntactical graphs, or derivation words, and the categorical algebra of… (More)
In conjunction with the development of a new Master's degree program, yet to receive final approval, the University of Kentucky Computer Science Department has devised and implemented a problem seminar. Students who enter graduate training in the department are required to present four of six specified items of academic background. It has been our… (More)
T h e diophantine equation 2y t = 7 k + 1 is shown to have no solutions in integers for k > 2. Since this is a necessary condition for the existence of close-packed double Hamming-error-correct ing codes on q = 7 symbols, there exist no such codes.