YES Consider the TRS R consisting of the following rewrite rules: f(x,x) -> a f(g(x),y) -> f(x,y) The TRS R is transformed (by dropping rewrite rules whose left-hand sides contain a function symbol which does not occur in any right-hand side) into a TRS R' which is empty. Hence R is terminating. __________________________________________________________________ TTTbox (0.003 seconds) - April 13, 2007 Source file - /home/ami/mkorp/Testbench/tpdb-3.2/TRS/SK90/4.45.trs