Initial Problem

Start: l0
Program_Vars: X₀
Temp_Vars:
Locations: l0, l1
Transitions:
t₀: l0(X₀) → l1(X₀)
t₁: l1(X₀) → l1(17⋅X₀) :|: X₀ ≤ 41 ∧ 1 ≤ 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(17⋅X₀) :|: X₀ ≤ 41 ∧ 1 ≤ X₀

MPRF for transition t₁: l1(X₀) → l1(17⋅X₀) :|: X₀ ≤ 41 ∧ 1 ≤ X₀ of depth 1:

new bound:

X₀+42 {O(n)}

MPRF:

• l1: [42-X₀]

All Bounds

Timebounds

Overall timebound:X₀+43 {O(n)}
t₀: 1 {O(1)}
t₁: X₀+42 {O(n)}

Costbounds

Overall costbound: X₀+43 {O(n)}
t₀: 1 {O(1)}
t₁: X₀+42 {O(n)}

Sizebounds

t₀, X₀: X₀ {O(n)}
t₁, X₀: 697 {O(1)}