*** 1 Progress [(O(1),O(n^1))] ***
Considered Problem:
Strict DP Rules:
Strict TRS Rules:
minus(f(x,y)) -> f(minus(y),minus(x))
minus(h(x)) -> h(minus(x))
minus(minus(x)) -> x
Weak DP Rules:
Weak TRS Rules:
Signature:
{minus/1} / {f/2,h/1}
Obligation:
Innermost
basic terms: {minus}/{f,h}
Applied Processor:
Bounds {initialAutomaton = minimal, enrichment = match}
Proof:
The problem is match-bounded by 1.
The enriched problem is compatible with follwoing automaton.
f_0(2,2) -> 2
f_1(3,4) -> 1
f_1(4,4) -> 3
f_1(4,4) -> 4
h_0(2) -> 2
h_1(4) -> 1
h_1(4) -> 3
h_1(4) -> 4
minus_0(2) -> 1
minus_1(2) -> 3
minus_1(2) -> 4
*** 1.1 Progress [(O(1),O(1))] ***
Considered Problem:
Strict DP Rules:
Strict TRS Rules:
Weak DP Rules:
Weak TRS Rules:
minus(f(x,y)) -> f(minus(y),minus(x))
minus(h(x)) -> h(minus(x))
minus(minus(x)) -> x
Signature:
{minus/1} / {f/2,h/1}
Obligation:
Innermost
basic terms: {minus}/{f,h}
Applied Processor:
EmptyProcessor
Proof:
The problem is already closed. The intended complexity is O(1).