Initial Problem

Start: f0
Program_Vars: X₀
Temp_Vars:
Locations: f0, f1
Transitions:
t₀: f0(X₀) → f1(300)
t₁: f1(X₀) → f1(X₀-1) :|: 102 ≤ X₀
t₂: f1(X₀) → f1(X₀-1) :|: X₀ ≤ 100

Preprocessing

Cut unsatisfiable transition [t₂: f1→f1]

Found invariant X₀ ≤ 300 ∧ 101 ≤ X₀ for location f1

Problem after Preprocessing

Start: f0
Program_Vars: X₀
Temp_Vars:
Locations: f0, f1
Transitions:
t₀: f0(X₀) → f1(300)
t₁: f1(X₀) → f1(X₀-1) :|: 102 ≤ X₀ ∧ X₀ ≤ 300 ∧ 101 ≤ X₀

MPRF for transition t₁: f1(X₀) → f1(X₀-1) :|: 102 ≤ X₀ ∧ X₀ ≤ 300 ∧ 101 ≤ X₀ of depth 1:

new bound:

300 {O(1)}

• f1: [X₀]

All Bounds

Timebounds

Overall timebound:301 {O(1)}
t₀: 1 {O(1)}
t₁: 300 {O(1)}

Costbounds

Overall costbound: 301 {O(1)}
t₀: 1 {O(1)}
t₁: 300 {O(1)}

Sizebounds

t₀, X₀: 300 {O(1)}
t₁, X₀: 299 {O(1)}