Initial Problem

Start: l0
Program_Vars: X₀, X₁
Temp_Vars:
Locations: l0, l1
Transitions:
t₀: l0(X₀, X₁) → l1(X₀, X₁)
t₁: l1(X₀, X₁) → l1(2⋅X₀, 3⋅X₁) :|: 1 ≤ X₀ ∧ 1 ≤ X₁ ∧ X₁ ≤ X₀ ∧ X₀ ≤ 4⋅X₁

Preprocessing

Problem after Preprocessing

Start: l0
Program_Vars: X₀, X₁
Temp_Vars:
Locations: l0, l1
Transitions:
t₀: l0(X₀, X₁) → l1(X₀, X₁)
t₁: l1(X₀, X₁) → l1(2⋅X₀, 3⋅X₁) :|: 1 ≤ X₀ ∧ 1 ≤ X₁ ∧ X₁ ≤ X₀ ∧ X₀ ≤ 4⋅X₁

MPRF for transition t₁: l1(X₀, X₁) → l1(2⋅X₀, 3⋅X₁) :|: 1 ≤ X₀ ∧ 1 ≤ X₁ ∧ X₁ ≤ X₀ ∧ X₀ ≤ 4⋅X₁ of depth 3:

new bound:

189⋅X₁+81⋅X₀+55 {O(n)}

• l1: [1+X₀-4⋅X₁; 1+X₀-2⋅X₁; X₀-X₁]

All Bounds

Timebounds

Overall timebound:189⋅X₁+81⋅X₀+56 {O(n)}
t₀: 1 {O(1)}
t₁: 189⋅X₁+81⋅X₀+55 {O(n)}

Costbounds

Overall costbound: 189⋅X₁+81⋅X₀+56 {O(n)}
t₀: 1 {O(1)}
t₁: 189⋅X₁+81⋅X₀+55 {O(n)}

Sizebounds

t₀, X₀: X₀ {O(n)}
t₀, X₁: X₁ {O(n)}
t₁, X₀: 2^(189⋅X₁)⋅2^(81⋅X₀)⋅36028797018963968⋅X₀ {O(EXP)}
t₁, X₁: 174449211009120179071170507⋅3^(189⋅X₁)⋅3^(81⋅X₀)⋅X₁ {O(EXP)}