Initial Problem

Start: l0
Program_Vars: X₀, X₁
Temp_Vars:
Locations: l0, l1
Transitions:
t₀: l0(X₀, X₁) → l1(X₀, X₁)
t₁: l1(X₀, X₁) → l1(2⋅X₀, 3⋅X₁) :|: 1+X₁ ≤ X₀ ∧ 1 ≤ X₁
t₂: l1(X₀, X₁) → l1(2⋅X₀, 4⋅X₁) :|: 1+X₁ ≤ X₀ ∧ 1 ≤ X₁

Preprocessing

Problem after Preprocessing

Start: l0
Program_Vars: X₀, X₁
Temp_Vars:
Locations: l0, l1
Transitions:
t₀: l0(X₀, X₁) → l1(X₀, X₁)
t₁: l1(X₀, X₁) → l1(2⋅X₀, 3⋅X₁) :|: 1+X₁ ≤ X₀ ∧ 1 ≤ X₁
t₂: l1(X₀, X₁) → l1(2⋅X₀, 4⋅X₁) :|: 1+X₁ ≤ X₀ ∧ 1 ≤ X₁

Found invariant 3 ≤ X₁ ∧ 7 ≤ X₀+X₁ ∧ 4 ≤ X₀ for location l1_v2

Found invariant 9 ≤ X₁ ∧ 17 ≤ X₀+X₁ ∧ 8 ≤ X₀ for location l1_v3

Found invariant 4 ≤ X₁ ∧ 8 ≤ X₀+X₁ ∧ 4 ≤ X₀ for location l1_v1

All Bounds

Timebounds

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

Costbounds

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

Sizebounds

t₀, X₀: X₀ {O(n)}
t₀, X₁: X₁ {O(n)}