CS6503 Theory of Computation
Subject Informations :
University : Anna University
Department : B.E. COMPUTER SCIENCE AND ENGINEERING
Semester : 05 th sem
Year : 03 rd year
Regulation : R2013
Subject Code : CS6503
Subject Name : Theory of Computation
CS6503 Theory of Computation | Important Questions | |
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Syllabus | Click Here to Download |
Part A Important Questions | Click Here to Download |
Part B Important Questions | Click Here to Download >> |
Question Bank | Click Here to Download |
Full Study Material | Click Here to Download |
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CS6503 THEORY OF COMPUTATION - SYLLABUS - R- 2013
OBJECTIVES:The student should be made to:
Understand various Computing models like Finite State Machine, Pushdown Automata, and
Turing Machine.
Be aware of Decidability and Un-decidability of various problems.
Learn types of grammars.
UNIT I FINITE AUTOMATA
Introduction- Basic Mathematical Notation and techniques- Finite State systems – Basic Definitions –
Finite Automaton – DFA & NDFA – Finite Automaton with €- moves – Regular Languages- Regular
Expression – Equivalence of NFA and DFA – Equivalence of NDFA‟s with and without €-moves –
Equivalence of finite Automaton and regular expressions –Minimization of DFA- - Pumping Lemma for Regular sets – Problems based on Pumping Lemma.
UNIT II GRAMMARS
Grammar Introduction– Types of Grammar - Context Free Grammars and Languages– Derivations
and Languages – Ambiguity- Relationship between derivation and derivation trees – Simplification of CFG – Elimination of Useless symbols - Unit productions - Null productions – Greiback Normal form – Chomsky normal form – Problems related to CNF and GNF.
UNIT III PUSHDOWN AUTOMATA
Pushdown Automata- Definitions – Moves – Instantaneous descriptions – Deterministic pushdown
automata – Equivalence of Pushdown automata and CFL - pumping lemma for CFL – problems
based on pumping Lemma.
UNIT IV TURING MACHINES
Definitions of Turing machines – Models – Computable languages and functions –Techniques for
Turing machine construction – Multi head and Multi tape Turing Machines - The Halting problem –
Partial Solvability – Problems about Turing machine- Chomskian hierarchy of languages.
UNIT V UNSOLVABLE PROBLEMS AND COMPUTABLE FUNCTIONS
Unsolvable Problems and Computable Functions – Primitive recursive functions – Recursive and
recursively enumerable languages – Universal Turing machine. MEASURING AND CLASSIFYING
COMPLEXITY: Tractable and Intractable problems- Tractable and possibly intractable problems - P
and NP completeness - Polynomial time reductions.
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