Initial Problem

Start: l0
Program_Vars: X₀
Temp_Vars:
Locations: l0, l1
Transitions:
t₀: l0(X₀) → l1(X₀)
t₁: l1(X₀) → l1(X₀-1) :|: 0 ≤ X₀

Preprocessing

Problem after Preprocessing

Start: l0
Program_Vars: X₀
Temp_Vars:
Locations: l0, l1
Transitions:
t₀: l0(X₀) → l1(X₀)
t₁: l1(X₀) → l1(X₀-1) :|: 0 ≤ X₀

MPRF for transition t₁: l1(X₀) → l1(X₀-1) :|: 0 ≤ X₀ of depth 1:

new bound:

X₀+1 {O(n)}

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)}