SPEAKER: Daniel Page TITLE: Generalized Methods for Restricted Weak Composition Enumeration ABSTRACT: Over the past decade, researchers have been trying to seek more generalized algorithms for generating mathematical objects such as finite formal languages, and combinatorial objects. In this talk I will present a new algorithm that arrives at a generalized solution for the enumeration (generation) of restricted weak compositions of n-parts. In particular, this generalized algorithm covers many commonly sought compositions such as bounded compositions, restricted compositions, weak compositions, and restricted part compositions. This algorithm is for enumerating generalized types of restricted weak compositions called First-Order, and Second-Order Restricted Weak Compositions. I will also be discussing current developments in the field of Enumeration of Compositions in relation to Theory of Computation. Related Topics: Computational Number Theory, Automata Theory, Combinatorics, Algorithms, Enumeration