Computing permutations with double-ended queues, parallel stacks and parallel queues

  • Authors:
  • Vaughan R. Pratt

  • Affiliations:
  • -

  • Venue:
  • STOC '73 Proceedings of the fifth annual ACM symposium on Theory of computing
  • Year:
  • 1973

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Abstract

A memory may be regarded as a computer with input, output and storage facilities, but with no explicit functional capability. The only possible outputs are permutations of a multiset of its inputs. Thus the natural question to ask of a class of memories is, what permutations can its members compute? We are particularly interested here in switchyard networks studied by Knuth [1968], Even and Itai [1971], and Tarjan [1972], where the permutations are of the set of inputs, rather than of a multiset of them.