1 Introduction to Languages.pdf - Theory of Computation and Compiler Design Dr D P Acharjya Professor SCOPE 19-Jul-17 Dr D P Acharjya 1 Text Books 1

1 Introduction to Languages.pdf - Theory of Computation and...

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Theory of Computation and Compiler Design 19-Jul-17 Dr. D. P. Acharjya 1 Dr. D. P. Acharjya Professor, SCOPE
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Text Books 1.Introduction to Automata Theory, Languages, and Computation: J. E. Hopcroft, Rajeev Motwani, J. D. Ullman; Pearson Education 2.Introduction to Languages and the Theory of 19-Jul-17 Dr. D. P. Acharjya 2 Computation: John Matrin; McGraw Hill 3.Theory of Computation: D. P. Acharjya; MJP Publishers 4.Principles of Compiler Design: A. V. Aho, J. D. Ullman; Addison Wesley
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Introduction to Languages 1.Computational Model 2.Alphabets 3.Strings 19-Jul-17 Dr. D. P. Acharjya 3 4.Languages 5.Operations on Languages 6.Introduction to Compiler 7.Phases of a Compiler
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Alphabet and Strings ° An alphabet is a finite non-empty set Σ of objects called symbols. - Σ = {0, 1} - Σ = {a, b, c, …,z} - Σ = {a, b, c, 0, 1, 2} 19-Jul-17 Dr. D. P. Acharjya 4 ° An n-tuple of symbols of Σ is called a string or word. In general we use lower case letters to represent string - w = 010001 is a string over Σ = {0, 1,2} - w = abccc is not a string over Σ = {0, 1,2}
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° Number of symbols present in the string is known as length of the string. - If w = 010001, then |w| = 6 ° Reverse of a string is obtained by writing the symbols of string in reverse order. 19-Jul-17 Dr. D. P. Acharjya 5 - If w = 00011100, then w R = 00111000 ° A string is said to be palindrome if w = w R - If w = 001100, then w R = 001100 ° A string u is said to be a substring, if it appears in the string. - If w = 0011110, then u =110 is a substring.
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Properties of Strings ° Associative Law: ± If u, v, w are strings over Σ , then u(vw)=(uv)w ° Existence of Identity: ± For all strings defined over Σ , there exists and 19-Jul-17 Dr. D. P. Acharjya 6
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