YES TRS: { minus(x, 0()) -> x, minus(s(x), s(y)) -> minus(x, y), quot(0(), s(y)) -> 0(), quot(s(x), s(y)) -> s(quot(minus(x, y), s(y)))} DP: Strict: {minus#(s(x), s(y)) -> minus#(x, y), quot#(s(x), s(y)) -> minus#(x, y), quot#(s(x), s(y)) -> quot#(minus(x, y), s(y))} Weak: { minus(x, 0()) -> x, minus(s(x), s(y)) -> minus(x, y), quot(0(), s(y)) -> 0(), quot(s(x), s(y)) -> s(quot(minus(x, y), s(y)))} EDG: {(quot#(s(x), s(y)) -> minus#(x, y), minus#(s(x), s(y)) -> minus#(x, y)) (quot#(s(x), s(y)) -> quot#(minus(x, y), s(y)), quot#(s(x), s(y)) -> minus#(x, y)) (quot#(s(x), s(y)) -> quot#(minus(x, y), s(y)), quot#(s(x), s(y)) -> quot#(minus(x, y), s(y))) (minus#(s(x), s(y)) -> minus#(x, y), minus#(s(x), s(y)) -> minus#(x, y))} SCCS: Scc: {quot#(s(x), s(y)) -> quot#(minus(x, y), s(y))} Scc: {minus#(s(x), s(y)) -> minus#(x, y)} SCC: Strict: {quot#(s(x), s(y)) -> quot#(minus(x, y), s(y))} Weak: { minus(x, 0()) -> x, minus(s(x), s(y)) -> minus(x, y), quot(0(), s(y)) -> 0(), quot(s(x), s(y)) -> s(quot(minus(x, y), s(y)))} POLY: Argument Filtering: pi(quot#) = 0, pi(quot) = [], pi(s) = [0], pi(0) = [], pi(minus) = 0 Usable Rules: {} Interpretation: [s](x0) = x0 + 1 Strict: {} Weak: { minus(x, 0()) -> x, minus(s(x), s(y)) -> minus(x, y), quot(0(), s(y)) -> 0(), quot(s(x), s(y)) -> s(quot(minus(x, y), s(y)))} Qed SCC: Strict: {minus#(s(x), s(y)) -> minus#(x, y)} Weak: { minus(x, 0()) -> x, minus(s(x), s(y)) -> minus(x, y), quot(0(), s(y)) -> 0(), quot(s(x), s(y)) -> s(quot(minus(x, y), s(y)))} SPSC: Simple Projection: pi(minus#) = 0 Strict: {} Qed