Solving Conjugacy Equation on Languages


Benny George K. School of Technology and Computer Science Tata Institute of Fundamental Research Homi Bhabha Road


Friday, 19 June 2009 (All day)


XZ=ZY is called the conjugacy equation. Given languages X and Y we are interested in knowing if there exists a non empty language Z which makes this equation true. This problem is undecidable in the general setting. We first look at X being a two element set and Y a three element set and obtain some characterizations for X and Y to be conjugates. We then extend some of those results to the case when Y is a finite set.