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  • For argument's sake : Mirror implies a single operation that returns an inverted image of the original. Opposite and Antithesis denotes states but leaves empty the dynamics of going from one to another. Transpositions are not necessarily reversible so the word I am looking for would denote a subset of possible transpositions. Complement, some operations referred to as complement would fit the description above but the word is also used to denote mutually exclusive solutions. In this case I guess it would be too restrictive... Commented Jan 10, 2012 at 6:45
  • Which leaves Inverse (mentioned later in other answers), Reverse and Converse. Commented Jan 10, 2012 at 6:46
  • Dual sounds related to coroutines Commented Aug 14, 2012 at 16:50