Finite Automata - What you need to know

Automata theory: it's a computational model study, focusing on finite automata (DFA and NFA) and push-down automata (PDA). The course explores regular languages, their properties and proofs of non-regularity using concepts like the pumping lemma and Myhill-Nerode theorem. Foundational mathematical concepts such as set theory, sequences, relations, alphabets, strings, and languages are reviewed. The equivalence between NFAs and DFAs is established through the powerset construction, demonstrating that both recognize the class of regular languages, which are shown to be closed under various operations.