Abstract
In this paper, the concepts of infinite partial array languages (omega omega-partial array languages) and the classes of omega omega-partial array languages, namely, local omega omega-partial array languages, Buchi local omega omega-partial array languages, and Muller local omega omega-partial array languages are defined, and their related properties are studied. Furthermore, we introduce nondeterministic finite online tessellation h-automata on omega omega-partial array languages. In addition, we prove that the class of all adherences of finite local partial array languages is equal to the class of all local omega omega-partial array languages and also prove that every omega omega-regular partial array language is a projection of Buchi local omega omega-partial array language.