*** 1 Progress [(O(1),O(n^1))] ***
Considered Problem:
Strict DP Rules:
Strict TRS Rules:
anchored(Cons(x,xs),y) -> anchored(xs,Cons(Cons(Nil(),Nil()),y))
anchored(Nil(),y) -> y
goal(x,y) -> anchored(x,y)
Weak DP Rules:
Weak TRS Rules:
Signature:
{anchored/2,goal/2} / {Cons/2,Nil/0}
Obligation:
Innermost
basic terms: {anchored,goal}/{Cons,Nil}
Applied Processor:
Bounds {initialAutomaton = perSymbol, enrichment = match}
Proof:
The problem is match-bounded by 1.
The enriched problem is compatible with follwoing automaton.
Cons_0(1,1) -> 1
Cons_0(1,1) -> 3
Cons_0(1,1) -> 4
Cons_0(1,2) -> 1
Cons_0(1,2) -> 3
Cons_0(1,2) -> 4
Cons_0(2,1) -> 1
Cons_0(2,1) -> 3
Cons_0(2,1) -> 4
Cons_0(2,2) -> 1
Cons_0(2,2) -> 3
Cons_0(2,2) -> 4
Cons_1(6,1) -> 3
Cons_1(6,1) -> 4
Cons_1(6,1) -> 5
Cons_1(6,2) -> 3
Cons_1(6,2) -> 4
Cons_1(6,2) -> 5
Cons_1(6,5) -> 3
Cons_1(6,5) -> 4
Cons_1(6,5) -> 5
Cons_1(7,8) -> 6
Nil_0() -> 2
Nil_0() -> 3
Nil_0() -> 4
Nil_1() -> 7
Nil_1() -> 8
anchored_0(1,1) -> 3
anchored_0(1,2) -> 3
anchored_0(2,1) -> 3
anchored_0(2,2) -> 3
anchored_1(1,1) -> 4
anchored_1(1,2) -> 4
anchored_1(1,5) -> 3
anchored_1(1,5) -> 4
anchored_1(2,1) -> 4
anchored_1(2,2) -> 4
anchored_1(2,5) -> 3
anchored_1(2,5) -> 4
goal_0(1,1) -> 4
goal_0(1,2) -> 4
goal_0(2,1) -> 4
goal_0(2,2) -> 4
1 -> 3
1 -> 4
2 -> 3
2 -> 4
5 -> 3
5 -> 4
*** 1.1 Progress [(O(1),O(1))] ***
Considered Problem:
Strict DP Rules:
Strict TRS Rules:
Weak DP Rules:
Weak TRS Rules:
anchored(Cons(x,xs),y) -> anchored(xs,Cons(Cons(Nil(),Nil()),y))
anchored(Nil(),y) -> y
goal(x,y) -> anchored(x,y)
Signature:
{anchored/2,goal/2} / {Cons/2,Nil/0}
Obligation:
Innermost
basic terms: {anchored,goal}/{Cons,Nil}
Applied Processor:
EmptyProcessor
Proof:
The problem is already closed. The intended complexity is O(1).