Initial Problem

Start: l0
Program_Vars: X₀, X₁
Temp_Vars:
Locations: l0, l1
Transitions:
t₁: l0(X₀, X₁) → l1(X₀, X₁)
t₀: l1(X₀, X₁) → l1(X₀+1, X₁+2) :|: X₁+1 ≤ X₀

Preprocessing

Problem after Preprocessing

Start: l0
Program_Vars: X₀, X₁
Temp_Vars:
Locations: l0, l1
Transitions:
t₁: l0(X₀, X₁) → l1(X₀, X₁)
t₀: l1(X₀, X₁) → l1(X₀+1, X₁+2) :|: X₁+1 ≤ X₀

MPRF for transition t₀: l1(X₀, X₁) → l1(X₀+1, X₁+2) :|: X₁+1 ≤ X₀ of depth 1:

new bound:

X₀+X₁ {O(n)}

All Bounds

Timebounds

Overall timebound:X₀+X₁+1 {O(n)}
t₀: X₀+X₁ {O(n)}
t₁: 1 {O(1)}

Costbounds

Overall costbound: X₀+X₁+1 {O(n)}
t₀: X₀+X₁ {O(n)}
t₁: 1 {O(1)}

Sizebounds

t₀, X₀: 2⋅X₀+X₁ {O(n)}
t₀, X₁: 2⋅X₀+3⋅X₁ {O(n)}
t₁, X₀: X₀ {O(n)}
t₁, X₁: X₁ {O(n)}