MAYBE TRS: { top(free(x)) -> top(check(new(x))), check(new(x)) -> new(check(x)), check(free(x)) -> free(check(x)), check(old(x)) -> old(x), check(old(x)) -> old(check(x)), new(free(x)) -> free(new(x)), new(serve()) -> free(serve()), old(free(x)) -> free(old(x)), old(serve()) -> free(serve())} DP: Strict: { top#(free(x)) -> top#(check(new(x))), top#(free(x)) -> check#(new(x)), top#(free(x)) -> new#(x), check#(new(x)) -> check#(x), check#(new(x)) -> new#(check(x)), check#(free(x)) -> check#(x), check#(old(x)) -> check#(x), check#(old(x)) -> old#(check(x)), new#(free(x)) -> new#(x), old#(free(x)) -> old#(x)} Weak: { top(free(x)) -> top(check(new(x))), check(new(x)) -> new(check(x)), check(free(x)) -> free(check(x)), check(old(x)) -> old(x), check(old(x)) -> old(check(x)), new(free(x)) -> free(new(x)), new(serve()) -> free(serve()), old(free(x)) -> free(old(x)), old(serve()) -> free(serve())} EDG: {(check#(new(x)) -> check#(x), check#(old(x)) -> old#(check(x))) (check#(new(x)) -> check#(x), check#(old(x)) -> check#(x)) (check#(new(x)) -> check#(x), check#(free(x)) -> check#(x)) (check#(new(x)) -> check#(x), check#(new(x)) -> new#(check(x))) (check#(new(x)) -> check#(x), check#(new(x)) -> check#(x)) (check#(old(x)) -> check#(x), check#(old(x)) -> old#(check(x))) (check#(old(x)) -> check#(x), check#(old(x)) -> check#(x)) (check#(old(x)) -> check#(x), check#(free(x)) -> check#(x)) (check#(old(x)) -> check#(x), check#(new(x)) -> new#(check(x))) (check#(old(x)) -> check#(x), check#(new(x)) -> check#(x)) (old#(free(x)) -> old#(x), old#(free(x)) -> old#(x)) (check#(new(x)) -> new#(check(x)), new#(free(x)) -> new#(x)) (top#(free(x)) -> top#(check(new(x))), top#(free(x)) -> new#(x)) (top#(free(x)) -> top#(check(new(x))), top#(free(x)) -> check#(new(x))) (top#(free(x)) -> top#(check(new(x))), top#(free(x)) -> top#(check(new(x)))) (check#(old(x)) -> old#(check(x)), old#(free(x)) -> old#(x)) (top#(free(x)) -> check#(new(x)), check#(new(x)) -> check#(x)) (top#(free(x)) -> check#(new(x)), check#(new(x)) -> new#(check(x))) (top#(free(x)) -> check#(new(x)), check#(free(x)) -> check#(x)) (top#(free(x)) -> check#(new(x)), check#(old(x)) -> check#(x)) (top#(free(x)) -> check#(new(x)), check#(old(x)) -> old#(check(x))) (new#(free(x)) -> new#(x), new#(free(x)) -> new#(x)) (check#(free(x)) -> check#(x), check#(new(x)) -> check#(x)) (check#(free(x)) -> check#(x), check#(new(x)) -> new#(check(x))) (check#(free(x)) -> check#(x), check#(free(x)) -> check#(x)) (check#(free(x)) -> check#(x), check#(old(x)) -> check#(x)) (check#(free(x)) -> check#(x), check#(old(x)) -> old#(check(x))) (top#(free(x)) -> new#(x), new#(free(x)) -> new#(x))} SCCS: Scc: {old#(free(x)) -> old#(x)} Scc: {new#(free(x)) -> new#(x)} Scc: { check#(new(x)) -> check#(x), check#(free(x)) -> check#(x), check#(old(x)) -> check#(x)} Scc: {top#(free(x)) -> top#(check(new(x)))} SCC: Strict: {old#(free(x)) -> old#(x)} Weak: { top(free(x)) -> top(check(new(x))), check(new(x)) -> new(check(x)), check(free(x)) -> free(check(x)), check(old(x)) -> old(x), check(old(x)) -> old(check(x)), new(free(x)) -> free(new(x)), new(serve()) -> free(serve()), old(free(x)) -> free(old(x)), old(serve()) -> free(serve())} SPSC: Simple Projection: pi(old#) = 0 Strict: {} Qed SCC: Strict: {new#(free(x)) -> new#(x)} Weak: { top(free(x)) -> top(check(new(x))), check(new(x)) -> new(check(x)), check(free(x)) -> free(check(x)), check(old(x)) -> old(x), check(old(x)) -> old(check(x)), new(free(x)) -> free(new(x)), new(serve()) -> free(serve()), old(free(x)) -> free(old(x)), old(serve()) -> free(serve())} SPSC: Simple Projection: pi(new#) = 0 Strict: {} Qed SCC: Strict: { check#(new(x)) -> check#(x), check#(free(x)) -> check#(x), check#(old(x)) -> check#(x)} Weak: { top(free(x)) -> top(check(new(x))), check(new(x)) -> new(check(x)), check(free(x)) -> free(check(x)), check(old(x)) -> old(x), check(old(x)) -> old(check(x)), new(free(x)) -> free(new(x)), new(serve()) -> free(serve()), old(free(x)) -> free(old(x)), old(serve()) -> free(serve())} SPSC: Simple Projection: pi(check#) = 0 Strict: {check#(new(x)) -> check#(x), check#(old(x)) -> check#(x)} EDG: {(check#(old(x)) -> check#(x), check#(old(x)) -> check#(x)) (check#(old(x)) -> check#(x), check#(new(x)) -> check#(x)) (check#(new(x)) -> check#(x), check#(new(x)) -> check#(x)) (check#(new(x)) -> check#(x), check#(old(x)) -> check#(x))} SCCS: Scc: {check#(new(x)) -> check#(x), check#(old(x)) -> check#(x)} SCC: Strict: {check#(new(x)) -> check#(x), check#(old(x)) -> check#(x)} Weak: { top(free(x)) -> top(check(new(x))), check(new(x)) -> new(check(x)), check(free(x)) -> free(check(x)), check(old(x)) -> old(x), check(old(x)) -> old(check(x)), new(free(x)) -> free(new(x)), new(serve()) -> free(serve()), old(free(x)) -> free(old(x)), old(serve()) -> free(serve())} SPSC: Simple Projection: pi(check#) = 0 Strict: {check#(old(x)) -> check#(x)} EDG: {(check#(old(x)) -> check#(x), check#(old(x)) -> check#(x))} SCCS: Scc: {check#(old(x)) -> check#(x)} SCC: Strict: {check#(old(x)) -> check#(x)} Weak: { top(free(x)) -> top(check(new(x))), check(new(x)) -> new(check(x)), check(free(x)) -> free(check(x)), check(old(x)) -> old(x), check(old(x)) -> old(check(x)), new(free(x)) -> free(new(x)), new(serve()) -> free(serve()), old(free(x)) -> free(old(x)), old(serve()) -> free(serve())} SPSC: Simple Projection: pi(check#) = 0 Strict: {} Qed SCC: Strict: {top#(free(x)) -> top#(check(new(x)))} Weak: { top(free(x)) -> top(check(new(x))), check(new(x)) -> new(check(x)), check(free(x)) -> free(check(x)), check(old(x)) -> old(x), check(old(x)) -> old(check(x)), new(free(x)) -> free(new(x)), new(serve()) -> free(serve()), old(free(x)) -> free(old(x)), old(serve()) -> free(serve())} Fail