Title: How to Count—Magically!
Abstract: In this talk, we introduce a general and versatile algorithm for enumerating elements of combinatorial families under a wide range of constraints. Our framework applies uniformly to diverse structures including ascent sequences, inversion sequences, permutations, set partitions, weak ascent
sequences, and words over finite alphabets. Through this unifying perspective, we highlight both the elegance and power of systematic enumeration techniques.