Initial Problem

Start: f0
Program_Vars: X₀
Temp_Vars:
Locations: f0, f3
Transitions:
t₀: f0(X₀) → f3(X₀)
t₁: f3(X₀) → f3(X₀-1) :|: 2 ≤ X₀
t₂: f3(X₀) → f3(X₀-1)

Preprocessing

Problem after Preprocessing

Start: f0
Program_Vars: X₀
Temp_Vars:
Locations: f0, f3
Transitions:
t₀: f0(X₀) → f3(X₀)
t₁: f3(X₀) → f3(X₀-1) :|: 2 ≤ X₀
t₂: f3(X₀) → f3(X₀-1)

MPRF for transition t₁: f3(X₀) → f3(X₀-1) :|: 2 ≤ X₀ of depth 1:

new bound:

X₀ {O(n)}

• f3: [X₀]

Found invariant 1 ≤ X₀ for location f3_v1

All Bounds

Timebounds

Overall timebound:inf {Infinity}
t₀: 1 {O(1)}
t₁: X₀ {O(n)}
t₂: inf {Infinity}

Costbounds

Overall costbound: inf {Infinity}
t₀: 1 {O(1)}
t₁: X₀ {O(n)}
t₂: inf {Infinity}

Sizebounds

t₀, X₀: X₀ {O(n)}