CS Colloquium on September 8 at 11am Title: Combinatory Complexity: Operators on Complexity Classes Speaker: Stathis Zachos, NTUA and CUNY http://www-old.ece.ntua.gr/acstaff/zachos.html Date: September 8 (Monday) Time: 11am Place: MCS 135 Abstract: Operators form a powerful tool that has been used to describe complexity classes, mainly those related to nondeterministic and probabilistic polynomial time Turing machines. Here we introduce new operators: the neutral operator "E", the complement operator "co" and the symmetric operator "Delta". We show that many polynomial time complexity classes can be described by using these operators combined with other known operators. We investigate properties of operators when applied to complexity classes and to other operators. We thus develop a calculus of operators which offers new alternative, insightful descriptions of class inclusions and helps in proving new complexity theoretic results and in simplifying existing proofs of important theorems. Biography of the Speaker: (to be added) Host: George Kollios (http://www.cs.bu.edu/~gkollios)