Initial Problem

Start: f0
Program_Vars: X₀
Temp_Vars:
Locations: f0, f1
Transitions:
t₀: f0(X₀) → f1(X₀)
t₁: f1(X₀) → f1(X₀-1) :|: 202 ≤ X₀

Preprocessing

Problem after Preprocessing

Start: f0
Program_Vars: X₀
Temp_Vars:
Locations: f0, f1
Transitions:
t₀: f0(X₀) → f1(X₀)
t₁: f1(X₀) → f1(X₀-1) :|: 202 ≤ X₀

MPRF for transition t₁: f1(X₀) → f1(X₀-1) :|: 202 ≤ X₀ of depth 1:

new bound:

X₀ {O(n)}

MPRF:

• f1: [X₀]

All Bounds

Timebounds

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

Costbounds

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

Sizebounds

t₀, X₀: X₀ {O(n)}
t₁, X₀: X₀ {O(n)}