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x[+y] and x[-y] need to be added to the Command section. E.g., the addition example has

{0[4]}      // set cell 0 to 4
  {0[-1]}   // subtract cell 0 by 1
  {1[+1]}   // add 1 to cell 1

so evidently the presence of a sign is supposed to change the the assignment operation x[y] ("Set the specified cell (x) to the specified number (y)") into an addition or subtraction operation, which is a different kind of critter. --r.e.s. (Talk) 19:58, 7 January 2008 (UTC)

"While programs"

This language seems to be a variant of some that are commonly used in introductory courses on computability. (Designed to be Turing-complete, of course.) For example, in these lecture notes see p.49: --r.e.s. (Talk) 20:58, 7 January 2008 (UTC)

Change of command {"x"["y"]}

I have changed the command {"x"["y"]} so that it now only increments or decrements.