YES(?,O(n^1)) 0.16/0.26 YES(?,O(n^1)) 0.16/0.26 0.16/0.26 Problem: 0.16/0.26 a(f(),a(f(),x)) -> a(x,g()) 0.16/0.26 a(x,g()) -> a(f(),a(g(),a(f(),x))) 0.16/0.26 0.16/0.26 Proof: 0.16/0.26 Bounds Processor: 0.16/0.26 bound: 4 0.16/0.26 enrichment: match 0.16/0.26 automaton: 0.16/0.26 final states: {4} 0.16/0.26 transitions: 0.16/0.26 f3() -> 18* 0.16/0.26 g3() -> 16* 0.16/0.26 a4(27,26) -> 28* 0.16/0.26 a4(25,15) -> 26* 0.16/0.26 a4(25,20) -> 26* 0.16/0.26 a4(25,28) -> 14* 0.16/0.26 f4() -> 25* 0.16/0.26 a0(4,4) -> 4* 0.16/0.26 g4() -> 27* 0.16/0.26 f0() -> 4* 0.16/0.26 g0() -> 4* 0.16/0.26 a1(4,6) -> 14,8,4 0.16/0.26 a1(6,6) -> 4* 0.16/0.26 a1(6,8) -> 6* 0.16/0.26 a1(4,7) -> 8* 0.16/0.26 a1(4,13) -> 8* 0.16/0.26 a1(20,6) -> 4* 0.16/0.26 a1(15,6) -> 4* 0.16/0.26 a1(7,4) -> 8* 0.16/0.26 f1() -> 4,7 0.16/0.26 g1() -> 6* 0.16/0.26 a2(13,15) -> 14,8,4 0.16/0.26 a2(9,14) -> 15* 0.16/0.26 a2(20,9) -> 8* 0.16/0.26 a2(15,9) -> 8* 0.16/0.26 a2(13,4) -> 14* 0.16/0.26 a2(13,18) -> 29* 0.16/0.26 a2(13,20) -> 4* 0.16/0.26 a2(13,30) -> 19* 0.16/0.26 a2(9,29) -> 30* 0.16/0.26 a2(6,9) -> 14,8 0.16/0.26 f2() -> 13* 0.16/0.26 g2() -> 9* 0.16/0.26 a3(18,15) -> 19* 0.16/0.26 a3(16,8) -> 20* 0.16/0.26 a3(18,6) -> 19* 0.16/0.26 a3(18,20) -> 14,8 0.16/0.26 a3(20,16) -> 14* 0.16/0.26 a3(15,16) -> 14* 0.16/0.26 a3(16,19) -> 20* 0.16/0.26 problem: 0.16/0.26 0.16/0.26 Qed 0.16/0.26 EOF