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) rec#(G, V, s(W)) => rec#(G, V, W) ***** We apply the Subterm Criterion Processor on P1. We use the following projection function: nu(rec#) = 3 We thus have: (1) s(W) |>| W All DPs are strictly oriented, and may be removed. Hence, this DP problem is finite.