>>> Complexity Seminor のお知らせ <<< 日時 :3月28日(金)16:00〜 場所 :東京工業大学 南3号館 2階 電気情報系会議室 連絡先:03-5734-2688 計算工学専攻 渡辺 治(南3号館 9階 918号室) Title: AN ALGEBRAIC POINT OF VIEW ON CIRCUIT COMPLEXITY By: Denis Therien (McGill Univ.) Abstract: Consider circuits and expressions whose gates carry out multiplication in some algebraic structure. Given a circuit (or an expression) and truth values for the inputs, determining the truth value of the output is called the CIRCUIT VALUE (or EXPRESSION EVALUATION) problem. These questions are deeply related to the complexity classes P and NC^1. In this talk, we will review what is known when the underlying algebra is associative, including the famous theorem of Barrington relating NC^1 and bounded width branching programs. We will also present new results discussing the non-associative case.