Syllabus Theory of Computation - (CS3452) UNIT I AUTOMATA AND REGULAR EXPRESSIONS Need for automata theory - Introduction to formal proof - Finite Automata (FA) - Deterministic Finite Automata (DFA) - Non-deterministic Finite Automata (NFA) - Equivalence between NFA and DFA - Finite Automata with Epsilon transitions - Equivalence of NFA and DFA - Equivalence of NFAs with and without ε-moves - Conversion of NFA into DFA - Minimization of DFAs. (Chapter - 1) UNIT II REGULAR EXPRESSIONS AND LANGUAGES Regular expression - Regular Languages- Equivalence of Finite Automata and regular expressions - Proving languages to be not regular (Pumping Lemma) - Closure properties of regular languages. (Chapter - 2) UNIT III CONTEXT FREE GRAMMAR AND PUSH DOWN AUTOMATA Types of Grammar - Chomsky’s hierarchy of languages - Context-Free Grammar (CFG) and Languages - Derivations and Parse trees - Ambiguity in grammars and languages - Push Down Automata (PDA) : Definition - Moves - Instantaneous descriptions - Languages of pushdown automata - Equivalence of pushdown automata and CFG-CFG to PDA-PDA to CFG - Deterministic Pushdown Automata. (Chapter - 3) UNIT IV NORMAL FORMS AND TURING MACHINES Normal forms for CFG - Simplification of CFG - Chomsky Normal Form (CNF) and Greibach Normal Form (GNF) - Pumping lemma for CFL - Closure properties of Context Free Languages -Turing Machine : Basic model - definition and representation - Instantaneous Description - Language acceptance by TM - TM as Computer of Integer functions - Programming techniques for Turing machines (subroutines). (Chapter - 4) UNIT V UNDECIDABILITY Unsolvable Problems and Computable Functions - PCP-MPCP - Recursive and recursively enumerable languages - Properties - Universal Turing machine -Tractable and Intractable problems - P and NP completeness - Kruskal’s algorithm - Travelling Salesman Problem - 3-CNF SAT problems. (Chapter - 5)
