This volume contains chapters that explore and extend advances in formal investigations of grammar that employ violable constraints in the analysis of individual languages, the study of linguistic typology, and the learnability of grammars. Initial investigations in a generative framework that employs violable constraints took place in Optimality Theory (OT) (Prince & Smolensky, 1993/2004). It is worth noting that although “representational constraints had of course long existed as a means of formally expressing restrictions on linguistic structures, […] the notion that one constraint could compel the violation of another had never been given much attention before OT” (p. vii). The violable constraints in OT are strictly ranked with res...