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, 1+X₁) :|: X₀ ≤ 1+X₁ ∧ 1 ≤ X₀

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, 1+X₁) :|: X₀ ≤ 1+X₁ ∧ 1 ≤ X₀

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

new bound:

16⋅X₀+8⋅X₁+25 {O(n)}

• l1: [2-X₀; 1+X₁-X₀]

All Bounds

Timebounds

Overall timebound:16⋅X₀+8⋅X₁+26 {O(n)}
t₀: 1 {O(1)}
t₁: 16⋅X₀+8⋅X₁+25 {O(n)}

Costbounds

Overall costbound: 16⋅X₀+8⋅X₁+26 {O(n)}
t₀: 1 {O(1)}
t₁: 16⋅X₀+8⋅X₁+25 {O(n)}

Sizebounds

t₀, X₀: X₀ {O(n)}
t₀, X₁: X₁ {O(n)}
t₁, X₀: 2^(16⋅X₀)⋅2^(8⋅X₁)⋅33554432⋅X₀ {O(EXP)}
t₁, X₁: 16⋅X₀+9⋅X₁+25 {O(n)}