 On 29 September 1250, Pope Innocent IV recognised his sovereignty in Arborea, though the Corona de Logu never did.In 1257, William led Arborea, along with Gallura and Logudoro, the Pisan "giudicati", into a war against Genoese Cagliari.After fourteen months of war, the deposed judge of Cagliari, Salusio VI, was forced to flee and his "giudicato" was divided up between the victors