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SDEF, a systolic array programming system, is presented. It is intended to provide ( 1) systolic algorithm researchers/developers with an executable notation, and (2) the software systems community with a target notation for the development of higherlevel systolic software tools. The design issues associated with such a programming system are identified. A spacetime representation of systolic computations is described briefly in order to motivate SDEF's program notation. The programming systemdoi:10.1016/0743-7315(89)90018-x fatcat:ap542ogpb5cipngui4bq5oboey