Initial Problem

Start: f300
Program_Vars: X₀
Temp_Vars:
Locations: f3, f300
Transitions:
t₁: f3(X₀) → f3(X₀-1) :|: X₀ ≤ 0
t₂: f3(X₀) → f3(X₀-1) :|: 1 ≤ X₀
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) :|: X₀ ≤ 0
t₂: f3(X₀) → f3(X₀-1) :|: 1 ≤ X₀
t₀: f300(X₀) → f3(X₀)

MPRF for transition t₂: f3(X₀) → f3(X₀-1) :|: 1 ≤ X₀ of depth 1:

new bound:

X₀ {O(n)}

• f3: [X₀]

Found invariant 1+X₀ ≤ 0 for location f3_v2

Found invariant 0 ≤ X₀ for location f3_v1

All Bounds

Timebounds

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

Costbounds

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

Sizebounds

t₀, X₀: X₀ {O(n)}
t₂, X₀: X₀ {O(n)}