Initial Problem

Start: start
Program_Vars: X₀, X₁
Temp_Vars:
Locations: eval, start
Transitions:
t₀: eval(X₀, X₁) → eval(X₀-1, X₁-1) :|: 1 ≤ X₀ ∧ 1 ≤ X₁
t₁: start(X₀, X₁) → eval(X₀, X₁)

Preprocessing

Problem after Preprocessing

Start: start
Program_Vars: X₀, X₁
Temp_Vars:
Locations: eval, start
Transitions:
t₀: eval(X₀, X₁) → eval(X₀-1, X₁-1) :|: 1 ≤ X₀ ∧ 1 ≤ X₁
t₁: start(X₀, X₁) → eval(X₀, X₁)

MPRF for transition t₀: eval(X₀, X₁) → eval(X₀-1, X₁-1) :|: 1 ≤ X₀ ∧ 1 ≤ X₁ of depth 1:

new bound:

X₀ {O(n)}

• eval: [X₀]

All Bounds

Timebounds

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

Costbounds

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

Sizebounds

t₀, X₀: X₀ {O(n)}
t₀, X₁: X₁ {O(n)}
t₁, X₀: X₀ {O(n)}
t₁, X₁: X₁ {O(n)}