Abstract
A notion of systolicity based on embeddability of processing structures is introduced. This notion characterizes the systolic structures that can be extended to solve problems of larger size, without a corresponding increase in processing time. A mathematical model for specifying such extendable structures is developed. The extensions of these structures are specified by extension rules using wavefronts and interconnection functions. An approach to deriving the algorithm schema corresponding to the computation performed by extendable structures is discussed. A simple necessary and sufficient condition for the systolicity of these structures is finally established.
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