Formal Languages And Automata Theory

Formal Languages And Automata Theory

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FundamentalsStrings, Alphabet, Language, Operations, Finite state machine, Definitions, Finite automaton model, acceptance of strings and languages, Deterministic finite automaton and non deterministic finite automaton, Transition diagrams and language recognizers.Finite AutomataNFA with AŽ transitions-Significance, Acceptance of languages. Conversions and Equivalence : Equivalence between NFA with and without AŽ transitions, NFA to DFA conversion, Minimisation of FSM, Equivalence between two FSM's, Finite Automata with output-Moore and Melay machines.Regular LanguagesRegular sets, Regular expressions, Identify rules, Constructing finite Automata for a given regular expressions, Conversion of finite automata to regular expressions. Pumping lemma of regular sets, Closure properties of regular sets.Grammar FormalismRegular grammars-right linear and left linear grammars, Equivalence between regular linear grammar and FA, Inter conversion, Context free grammar, Derivation trees, Sentential forms, Rightmost and leftmost derivation of strings.Context Free GrammarsAmbiguity in context free grammars. Minimisation of context free grammars. Chomsky normal form, Greiback normal form, Pumping lemma for context free languages. Enumeration of properties of CFL.Push Down AutomataPush down automata, Definition, Model, Acceptance of CFL, Acceptance by final state and acceptance by empty state and its equivalence. Equivalence of CFL and PDA, Interconversion. Introduction to DCFL and DPDA.Turing MachineTuring Machine, Definition, Model, Design of TM, Computable functions, Recursively enumerable languages. Church's hypothesis, Counter machine, Types of turing machines.Computability TheoryChomsky hierarchy of languages, Linear bounded automata and context sensitive language, LR(0) grammar, Decidability of problems, Universal turing machine, Undecidability of posts. Correspondence problem, Turing reducibility, Definition of P and NP problems, NP complete and NP hard problems.4.1 Introduction In previous chapter we have learnt the effective use of regular expressions for defining the regular languages. In fact we have learnt three ways of characterising regular languages : i) Regular Expressions ii) Finite Automataanbsp;...

Title:Formal Languages And Automata Theory
Publisher:Technical Publications - 2009-01-01


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