YES Consider the TRS R consisting of the following rewrite rules: +(*(x,y),*(a,y)) -> *(+(x,a),y) *(*(x,y),z) -> *(x,*(y,z)) The TRS R is terminating because R is match-raise-bounded for RFC#'(R) by 0. A raise-compatible and quasi-deterministic tree automaton compatible with match(R) and RFC#'(R) has - 7 states (1,...,7) - 3 final states (1,5,7) - 8 transitions: #_0 -> 2 *_0(2,2) -> 6 *_0(2,6) -> 7 *_0(2,7) -> 7 *_0(2,5) -> 7 *_0(4,2) -> 1 +_0(2,3) -> 4 a_0 -> 3 __________________________________________________________________ TTTbox (0.005 seconds) - April 13, 2007 Source file - /home/ami/mkorp/Testbench/tpdb-3.2/TRS/SK90/4.04.trs