Initial Problem

Start: f0
Program_Vars: X₀, X₁
Temp_Vars:
Locations: f0, f1
Transitions:
t₀: f0(X₀, X₁) → f1(X₀, X₁) :|: 1 ≤ X₀ ∧ 1+X₁ ≤ 0
t₁: f1(X₀, X₁) → f1(X₀-X₁, X₁) :|: 1+X₁ ≤ X₀ ∧ 1+X₁ ≤ 0

Preprocessing

Found invariant 1+X₁ ≤ 0 ∧ 2+X₁ ≤ X₀ ∧ 1 ≤ X₀ for location f1

Problem after Preprocessing

Start: f0
Program_Vars: X₀, X₁
Temp_Vars:
Locations: f0, f1
Transitions:
t₀: f0(X₀, X₁) → f1(X₀, X₁) :|: 1 ≤ X₀ ∧ 1+X₁ ≤ 0
t₁: f1(X₀, X₁) → f1(X₀-X₁, X₁) :|: 1+X₁ ≤ X₀ ∧ 1+X₁ ≤ 0 ∧ 1 ≤ X₀ ∧ 2+X₁ ≤ X₀

Found invariant 1+X₁ ≤ 0 ∧ 2+X₁ ≤ X₀ ∧ 1 ≤ X₀ for location f1

Found invariant 1+X₁ ≤ 0 ∧ 3+X₁ ≤ X₀ ∧ 1 ≤ X₀+X₁ ∧ 2 ≤ X₀ for location f1_v1

All Bounds

Timebounds

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

Costbounds

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

Sizebounds

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