YES Consider the TRS R consisting of the following rewrite rules: f(x,x) -> f(a,b) b -> c The TRS R is terminating because R is match-raise-bounded for RFC#'(R) by 1. A raise-compatible and quasi-deterministic tree automaton compatible with match(R) and RFC#'(R) has - 6 states (1,...,6) - 4 final states (1,4,5,6) - 9 transitions: a_0 -> 2 b_0 -> 3 c_1 -> 3 c_1 -> 5 c_1 -> 6 c_0 -> 5 f_0(2,6) -> 1 f_0(2,3) -> 1 f_0(2,5) -> 1 __________________________________________________________________ TTTbox (0.004 seconds) - April 13, 2007 Source file - /home/ami/mkorp/Testbench/tpdb-3.2/TRS/SK90/4.55.trs