Initial Problem

Start: l0
Program_Vars: X₀
Temp_Vars:
Locations: l0, l1
Transitions:
t₁: l0(X₀) → l1(X₀)
t₀: l1(X₀) → l1(X₀) :|: (X₀)²+1 ≤ 0

Preprocessing

Problem after Preprocessing

Start: l0
Program_Vars: X₀
Temp_Vars:
Locations: l0, l1
Transitions:
t₁: l0(X₀) → l1(X₀)
t₀: l1(X₀) → l1(X₀) :|: (X₀)²+1 ≤ 0

TWN: t₀: l1→l1

cycle: [t₀: l1→l1]
loop: ((X₀)²+1 ≤ 0,(X₀) -> (X₀)
order: [X₀]
closed-form:
X₀: X₀

Termination: true
Formula:

(X₀)²+1 < 0
∨ (X₀)²+1 ≤ 0 ∧ 0 ≤ (X₀)²+1

TWN - Lifting for t₀: l1→l1 of 3 {O(1)}

relevant size-bounds w.r.t. t₁:
Runtime-bound of t₁: 1 {O(1)}
Results in: 3 {O(1)}

All Bounds

Timebounds

Overall timebound:4 {O(1)}
t₀: 3 {O(1)}
t₁: 1 {O(1)}

Costbounds

Overall costbound: 4 {O(1)}
t₀: 3 {O(1)}
t₁: 1 {O(1)}

Sizebounds

t₀, X₀: X₀ {O(n)}
t₁, X₀: X₀ {O(n)}