Initial Problem

Start: f1
Program_Vars: X₀
Temp_Vars:
Locations: f0, f1
Transitions:
t₁: f0(X₀) → f0(X₀-1) :|: 0 ≤ X₀
t₀: f1(X₀) → f0(X₀)

Preprocessing

Problem after Preprocessing

Start: f1
Program_Vars: X₀
Temp_Vars:
Locations: f0, f1
Transitions:
t₁: f0(X₀) → f0(X₀-1) :|: 0 ≤ X₀
t₀: f1(X₀) → f0(X₀)

MPRF for transition t₁: f0(X₀) → f0(X₀-1) :|: 0 ≤ X₀ of depth 1:

new bound:

X₀+1 {O(n)}

MPRF:

• f0: [1+X₀]

All Bounds

Timebounds

Overall timebound:X₀+2 {O(n)}
t₀: 1 {O(1)}
t₁: X₀+1 {O(n)}

Costbounds

Overall costbound: X₀+2 {O(n)}
t₀: 1 {O(1)}
t₁: X₀+1 {O(n)}

Sizebounds

t₀, X₀: X₀ {O(n)}
t₁, X₀: X₀+1 {O(n)}