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)abbrev package STREAM1 StreamFunctions1
++ Authors: Burge, Watt; updated by Clifton J. Williamson
++ Date Created: July 1986
++ Date Last Updated: 29 January 1990
++ Description:
++ Functions defined on streams with entries in one set.

StreamFunctions1(S) : SIG == CODE where
  S : Type

  ST  ==> Stream

  SIG ==> with

    concat : ST ST S -> ST S
      ++ concat(u) returns the left-to-right concatentation of the 
      ++ streams in u. Note that \spad{concat(u) = reduce(concat,u)}.
      ++
      ++X m:=[i for i in 10..]
      ++X n:=[j for j in 1.. | prime? j]
      ++X p:=[m,n]::Stream(Stream(PositiveInteger))
      ++X concat(p)

  CODE ==> add

    concat z == delay
      empty? z => empty()
      empty?(x := frst z) => concat rst z
      concat(frst x,concat(rst x,concat rst z))