YES TRS: { times(x, 0()) -> 0(), times(x, s(y)) -> plus(times(x, y), x), plus(x, 0()) -> x, plus(x, s(y)) -> s(plus(x, y)), plus(0(), x) -> x, plus(s(x), y) -> s(plus(x, y))} DP: Strict: {times#(x, s(y)) -> times#(x, y), times#(x, s(y)) -> plus#(times(x, y), x), plus#(x, s(y)) -> plus#(x, y), plus#(s(x), y) -> plus#(x, y)} Weak: { times(x, 0()) -> 0(), times(x, s(y)) -> plus(times(x, y), x), plus(x, 0()) -> x, plus(x, s(y)) -> s(plus(x, y)), plus(0(), x) -> x, plus(s(x), y) -> s(plus(x, y))} EDG: {(times#(x, s(y)) -> times#(x, y), times#(x, s(y)) -> plus#(times(x, y), x)) (times#(x, s(y)) -> times#(x, y), times#(x, s(y)) -> times#(x, y)) (plus#(s(x), y) -> plus#(x, y), plus#(s(x), y) -> plus#(x, y)) (plus#(s(x), y) -> plus#(x, y), plus#(x, s(y)) -> plus#(x, y)) (plus#(x, s(y)) -> plus#(x, y), plus#(x, s(y)) -> plus#(x, y)) (plus#(x, s(y)) -> plus#(x, y), plus#(s(x), y) -> plus#(x, y)) (times#(x, s(y)) -> plus#(times(x, y), x), plus#(x, s(y)) -> plus#(x, y)) (times#(x, s(y)) -> plus#(times(x, y), x), plus#(s(x), y) -> plus#(x, y))} SCCS: Scc: {plus#(x, s(y)) -> plus#(x, y), plus#(s(x), y) -> plus#(x, y)} Scc: {times#(x, s(y)) -> times#(x, y)} SCC: Strict: {plus#(x, s(y)) -> plus#(x, y), plus#(s(x), y) -> plus#(x, y)} Weak: { times(x, 0()) -> 0(), times(x, s(y)) -> plus(times(x, y), x), plus(x, 0()) -> x, plus(x, s(y)) -> s(plus(x, y)), plus(0(), x) -> x, plus(s(x), y) -> s(plus(x, y))} SPSC: Simple Projection: pi(plus#) = 0 Strict: {plus#(x, s(y)) -> plus#(x, y)} EDG: {(plus#(x, s(y)) -> plus#(x, y), plus#(x, s(y)) -> plus#(x, y))} SCCS: Scc: {plus#(x, s(y)) -> plus#(x, y)} SCC: Strict: {plus#(x, s(y)) -> plus#(x, y)} Weak: { times(x, 0()) -> 0(), times(x, s(y)) -> plus(times(x, y), x), plus(x, 0()) -> x, plus(x, s(y)) -> s(plus(x, y)), plus(0(), x) -> x, plus(s(x), y) -> s(plus(x, y))} SPSC: Simple Projection: pi(plus#) = 1 Strict: {} Qed SCC: Strict: {times#(x, s(y)) -> times#(x, y)} Weak: { times(x, 0()) -> 0(), times(x, s(y)) -> plus(times(x, y), x), plus(x, 0()) -> x, plus(x, s(y)) -> s(plus(x, y)), plus(0(), x) -> x, plus(s(x), y) -> s(plus(x, y))} SPSC: Simple Projection: pi(times#) = 1 Strict: {} Qed