Initial Problem

Start: start0
Program_Vars: X₀, X₁, X₂, X₃
Temp_Vars: E
Locations: lbl41, start, start0, stop
Transitions:
t₁: lbl41(X₀, X₁, X₂, X₃) → stop(X₀, X₁, X₀, X₃) :|: X₃ ≤ X₂ ∧ X₂ ≤ X₃
t₀: start(X₀, X₁, X₂, X₃) → lbl41(E, X₁, X₂, X₃) :|: X₁ ≤ X₀ ∧ X₀ ≤ X₁ ∧ X₃ ≤ X₂ ∧ X₂ ≤ X₃
t₂: start0(X₀, X₁, X₂, X₃) → start(X₁, X₁, X₃, X₃)

Preprocessing

Found invariant X₃ ≤ X₂ ∧ X₂ ≤ X₃ ∧ X₁ ≤ X₀ ∧ X₀ ≤ X₁ for location start

Found invariant X₂ ≤ X₀ ∧ X₀ ≤ X₂ for location stop

Found invariant X₃ ≤ X₂ ∧ X₂ ≤ X₃ for location lbl41

Problem after Preprocessing

Start: start0
Program_Vars: X₀, X₁, X₂, X₃
Temp_Vars: E
Locations: lbl41, start, start0, stop
Transitions:
t₁: lbl41(X₀, X₁, X₂, X₃) → stop(X₀, X₁, X₀, X₃) :|: X₃ ≤ X₂ ∧ X₂ ≤ X₃
t₀: start(X₀, X₁, X₂, X₃) → lbl41(E, X₁, X₂, X₃) :|: X₁ ≤ X₀ ∧ X₀ ≤ X₁ ∧ X₃ ≤ X₂ ∧ X₂ ≤ X₃
t₂: start0(X₀, X₁, X₂, X₃) → start(X₁, X₁, X₃, X₃)

All Bounds

Timebounds

Overall timebound:3 {O(1)}
t₀: 1 {O(1)}
t₁: 1 {O(1)}
t₂: 1 {O(1)}

Costbounds

Overall costbound: 3 {O(1)}
t₀: 1 {O(1)}
t₁: 1 {O(1)}
t₂: 1 {O(1)}

Sizebounds

t₀, X₁: X₁ {O(n)}
t₀, X₂: X₃ {O(n)}
t₀, X₃: X₃ {O(n)}
t₁, X₁: X₁ {O(n)}
t₁, X₃: X₃ {O(n)}
t₂, X₀: X₁ {O(n)}
t₂, X₁: X₁ {O(n)}
t₂, X₂: X₃ {O(n)}
t₂, X₃: X₃ {O(n)}