Initial Problem

Start: f300
Program_Vars: X₀
Temp_Vars:
Locations: f3, f300
Transitions:
t₁: f3(X₀) → f3(X₀-1) :|: 2 ≤ X₀
t₂: f3(X₀) → f3(X₀-1) :|: X₀ ≤ 1
t₀: f300(X₀) → f3(X₀)

Preprocessing

Problem after Preprocessing

Start: f300
Program_Vars: X₀
Temp_Vars:
Locations: f3, f300
Transitions:
t₁: f3(X₀) → f3(X₀-1) :|: 2 ≤ X₀
t₂: f3(X₀) → f3(X₀-1) :|: X₀ ≤ 1
t₀: f300(X₀) → f3(X₀)

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_v2

Found invariant X₀ ≤ 0 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)}
t₁, X₀: X₀ {O(n)}