Initial Problem

Start: f0
Program_Vars: X₀, X₁, X₂
Temp_Vars:
Locations: f0, f1
Transitions:
t₀: f0(X₀, X₁, X₂) → f1(X₀, X₁, X₂)
t₁: f1(X₀, X₁, X₂) → f1(1+X₀, 1+X₀+X₁, X₂) :|: X₁ ≤ X₀
t₂: f1(X₀, X₁, X₂) → f1(X₀-X₂, X₁-2⋅X₂, X₂-1) :|: X₁ ≤ X₀

Preprocessing

Problem after Preprocessing

Start: f0
Program_Vars: X₀, X₁, X₂
Temp_Vars:
Locations: f0, f1
Transitions:
t₀: f0(X₀, X₁, X₂) → f1(X₀, X₁, X₂)
t₁: f1(X₀, X₁, X₂) → f1(1+X₀, 1+X₀+X₁, X₂) :|: X₁ ≤ X₀
t₂: f1(X₀, X₁, X₂) → f1(X₀-X₂, X₁-2⋅X₂, X₂-1) :|: X₁ ≤ X₀

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)}
t₀, X₂: X₂ {O(n)}