YES Consider the TRS R consisting of the following rewrite rules: +(-(x,y),z) -> -(+(x,z),y) -(+(x,y),y) -> x The TRS R is terminating because R is match-raise-bounded for RFC#'(R) by 0. A raise-consistent and quasi-deterministic tree automaton compatible with match(R) and RFC#'(R) has - 6 states (1,...,6) - 5 final states (1,2,4,5,6) - 27 transitions: 2 -> 5 4 -> 5 6 -> 5 #_0 -> 4 #_0 -> 5 #_0 -> 6 +_0(4,6) -> 3 +_0(2,2) -> 3 +_0(6,4) -> 3 +_0(2,6) -> 3 +_0(4,4) -> 3 +_0(2,4) -> 3 +_0(6,2) -> 3 +_0(6,6) -> 3 +_0(4,2) -> 3 -_0(3,4) -> 5 -_0(4,6) -> 5 -_0(6,4) -> 5 -_0(5,2) -> 5 -_0(4,4) -> 5 -_0(5,6) -> 5 -_0(3,2) -> 5 -_0(3,6) -> 5 -_0(6,2) -> 5 -_0(5,4) -> 5 -_0(6,6) -> 5 -_0(4,2) -> 5 __________________________________________________________________ TTTbox (0.006 seconds) - April 13, 2007 Source file - /home/ami/mkorp/Testbench/tpdb-3.2/TRS/SK90/4.15.trs