<ul><li>UI complexity management aims to reduce factorial complexity in user interfaces, where more input orderings and dependencies lead to increased system complexity.</li><li>A theoretical model is introduced in this article, framing UI design as a complexity problem grounded in set theory, combinatorics, and ordering logic.</li><li>Factorial complexity in UI systems is often inevitable due to discrete interaction paths and user input freedom, highlighting the importance of understanding growth patterns for scalability.</li><li>Different UI structures exhibit varying levels of complexity, ranging from linear wizards with O(1!) complexity to fully connected free navigation with O(n!) complexity.</li></ul>

UI Complexity as a Factorial Theory

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