Initial Problem

Start: l0
Program_Vars: X₀
Temp_Vars:
Locations: l0, l1
Transitions:
t₀: l0(X₀) → l1(X₀)
t₁: l1(X₀) → l1(X₀-1000) :|: 1201 ≤ X₀

Preprocessing

Problem after Preprocessing

Start: l0
Program_Vars: X₀
Temp_Vars:
Locations: l0, l1
Transitions:
t₀: l0(X₀) → l1(X₀)
t₁: l1(X₀) → l1(X₀-1000) :|: 1201 ≤ X₀

Time-Bound by TWN-Loops:

TWN-Loops: t₁ 2⋅X₀+4 {O(n)}

TWN-Loops:

entry: t₀: l0(X₀) → l1(X₀)
results in twn-loop: twn: (X₀) -> (X₀-1000) :|: 1201 ≤ X₀
order: [X₀]
closed-form:
X₀: X₀ + [[n != 0]] * -1000 * n^1

Termination: true
Formula:

1000 < 0
∨ 1201 < X₀ ∧ 1000 ≤ 0 ∧ 0 ≤ 1000
∨ 1000 ≤ 0 ∧ 0 ≤ 1000 ∧ 1201 ≤ X₀ ∧ X₀ ≤ 1201

Stabilization-Threshold for: 1201 ≤ X₀
alphas_abs: X₀
M: 0
N: 1
Bound: 2⋅X₀+2 {O(n)}

relevant size-bounds w.r.t. t₀:
X₀: X₀ {O(n)}
Runtime-bound of t₀: 1 {O(1)}
Results in: 2⋅X₀+4 {O(n)}

2⋅X₀+4 {O(n)}

All Bounds

Timebounds

Overall timebound:2⋅X₀+5 {O(n)}
t₀: 1 {O(1)}
t₁: 2⋅X₀+4 {O(n)}

Costbounds

Overall costbound: 2⋅X₀+5 {O(n)}
t₀: 1 {O(1)}
t₁: 2⋅X₀+4 {O(n)}

Sizebounds

t₀, X₀: X₀ {O(n)}
t₁, X₀: X₀ {O(n)}