The system is accessible function passing by a sort ordering that equates all sorts. We start by computing the following initial DP problem: P1. (1) lastbit#(x) => lastbit#(x - 2) | x > 1 (2) conv#(x) => conv#(x / 2) | x > 0 (3) conv#(x) => lastbit#(x) | x > 0 ***** We apply the Graph Processor on P1. Considering the 2 SCCs, this DP problem is split into the following new problems. P2. (1) lastbit#(x) => lastbit#(x - 2) | x > 1 P3. (1) conv#(x) => conv#(x / 2) | x > 0 ***** We apply the Integer Function Processor on P2. We use the following integer mapping: J(lastbit#) = arg_1 We thus have: (1) x > 1 |= x > x - 2 (and x >= 0) All DPs are strictly oriented, and may be removed. Hence, this DP problem is finite. ***** We apply the Integer Function Processor on P3. We use the following integer mapping: J(conv#) = arg_1 We thus have: (1) x > 0 |= x > x / 2 (and x >= 0) All DPs are strictly oriented, and may be removed. Hence, this DP problem is finite.