Start: l0
Program_Vars: X₀, X₁
Temp_Vars:
Locations: l0, l1, l2
Transitions:
t₁: l0(X₀, X₁) → l1(X₀, 0)
t₂: l1(X₀, X₁) → l1(X₀-1, X₁) :|: 1 ≤ X₀
t₀: l1(X₀, X₁) → l2(X₀, 1) :|: X₀ ≤ 0
Eliminate variables {X₁} that do not contribute to the problem
Found invariant X₀ ≤ 0 for location l2
Start: l0
Program_Vars: X₀
Temp_Vars:
Locations: l0, l1, l2
Transitions:
t₆: l0(X₀) → l1(X₀)
t₇: l1(X₀) → l1(X₀-1) :|: 1 ≤ X₀
t₈: l1(X₀) → l2(X₀) :|: X₀ ≤ 0
new bound:
X₀ {O(n)}
Overall timebound:X₀+2 {O(n)}
t₆: 1 {O(1)}
t₇: X₀ {O(n)}
t₈: 1 {O(1)}
Overall costbound: X₀+2 {O(n)}
t₆: 1 {O(1)}
t₇: X₀ {O(n)}
t₈: 1 {O(1)}
t₆, X₀: X₀ {O(n)}
t₇, X₀: X₀ {O(n)}
t₈, X₀: 2⋅X₀ {O(n)}