A Language for Set-Theoretic Concepts Implemented by Microprogrammed Associative Memory Instructions
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Within the research project EGPA a programming language was developed which includes among other things elements for set-theoretic concepts: declarations of the data types SET and SUBSET, the corresponding set- -theoretic operations and some useful intrinsic functions. These language elements are presented here in a PASCAL-like notation. The compilation maps the set-operations and the intrinsic functions into procedure calls, which are the instructions of an abstract “set-machine”. Some details of the implementation of this “set-machine” are discussed For efficient access the sets are stored in a vertical mode in a conventional memory and the set-operations are based on microprogrammed associative memory instructions. The subsets are implemented as bit-vectors. Therefore the subset-operations can use the conventional logical machine instructions and thus are executed fast. In this way all the set-theoretic operations can be implemented efficiently. A special language construct within the intrinsic functions allows the comfortable specification of a subset through conditions. The computation of this subset is evidently an associative operation where we can fully use the capabilities of the microprogrammed associative memory instructions.
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