*** 1 Progress [(O(1),O(n^1))] ***
Considered Problem:
Strict DP Rules:
Strict TRS Rules:
a(0(),x) -> c(c(x))
c(c(x)) -> b(c(b(c(x))))
c(c(b(c(x)))) -> b(a(0(),c(x)))
Weak DP Rules:
Weak TRS Rules:
Signature:
{a/2,c/1} / {0/0,b/1}
Obligation:
Full
basic terms: {a,c}/{0,b}
Applied Processor:
Bounds {initialAutomaton = minimal, enrichment = match}
Proof:
The problem is match-bounded by 2.
The enriched problem is compatible with follwoing automaton.
0_0() -> 2
a_0(2,2) -> 1
b_0(2) -> 2
b_2(4) -> 1
b_2(6) -> 5
c_0(2) -> 1
c_1(2) -> 3
c_1(3) -> 1
c_2(2) -> 6
c_2(5) -> 4
*** 1.1 Progress [(O(1),O(1))] ***
Considered Problem:
Strict DP Rules:
Strict TRS Rules:
Weak DP Rules:
Weak TRS Rules:
a(0(),x) -> c(c(x))
c(c(x)) -> b(c(b(c(x))))
c(c(b(c(x)))) -> b(a(0(),c(x)))
Signature:
{a/2,c/1} / {0/0,b/1}
Obligation:
Full
basic terms: {a,c}/{0,b}
Applied Processor:
EmptyProcessor
Proof:
The problem is already closed. The intended complexity is O(1).