Research Article

Towards Sophisticated Air Traffic Control System Using Formal Methods

Box 13

grd3: (SIGMA({i ↦ ld ∣ ∃A·i ∈ card(aircrafts_in_airport) ∧ ld=AVERAGE_LD(A) ∧  A ∈ aircrafts_in_airport ∧ deadline(A) ≤ deadline(aircraft)}) ≤ deadline(aircraft) ∧ Urgents = ∅) ∨ aircraft ∈ Urgents
grd4: (∀A·A ∈ aircrafts_in_airport ∧ deadline(A)>deadline(aircraft) ⇒ SIGMA({i ↦ ld ∣ ∃a·i ∈ card(aircrafts_in_airport) ∧ ld=AVERAGE_LD(a) ∧ a ∈ aircrafts_in_airport ∧ deadline(a) ≤ deadline(A)}) + deadline(aircraft) ≤ deadline(A) ∧ Urgents = ∅)) ∨ aircraft ∈ Urgents