By Peter Linz

ISBN-10: 144961552X

ISBN-13: 9781449615529

Written to handle the basics of formal languages, automata, and computability, An advent to Formal Languages and Automata offers an available, student-friendly presentation of all fabric necessary to an introductory concept of Computation path. it truly is designed to familiarize scholars with the principles and ideas of desktop technological know-how and to bolster the scholars' skill to hold out formal and rigorous mathematical arguments. within the new 5th variation, Peter Linz maintains to provide an easy, easy therapy of formal languages and automata and avoids over the top mathematical aspect in order that scholars may well concentrate on and comprehend the underlying ideas. with a purpose to extra the accessibility and comprehension of the textual content, the writer has additional new illustrative examples and workouts all through. there's a vast quantity of latest fabric within the kind of new appendices, and a CD-ROM of JFLAP routines authored through Susan Rodger of Duke college. the 1st appendix is a complete bankruptcy on finite-state transducers. This not obligatory bankruptcy can be utilized to organize scholars for additional similar learn. the second one appendix bargains a quick creation to JFLAP; an interactive software program device that's of serious assist in either studying the cloth and in instructing the path. some of the workouts within the textual content require developing constructions which are complex and that experience to be proven for correctness. JFLAP can vastly lessen scholars’ time spent on trying out in addition to aid them visualize summary options. The CD-ROM that accompanies each new published replica expands this and gives workouts particular for JFLAP. (Please observe, e-book model doesn't contain the CD-ROM) teacher assets: -Instructor guide -PowerPoint Lecture Outlines

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**Additional info for An Introduction to Formal Languages and Automata, 5th Edition**

**Sample text**

E) L1 L2. (f) L1 ∪ L2. (g) . (h) . (i) . *15. Find grammars for the following languages on ∑ = {a}. (a) L = {w : |w| mod 3 = 0}. (b) L = {w : |w| mod 3 > 0}. (c) L = {w : |w| mod 3 ≠ |w| mod 2}. (d) L = {w : |w| mod 3 ≥ |w| mod 2}. 16. Find a grammar that generates the language Give a complete justification for your answer. 17. Give a verbal description of the language generated by 18. 13, find grammars for the languages below. Assume ∑ = {a, b}. (a) L = {w : na (w)= nb (w) + 1}. (b) L = {w : na (w) > nb (w)}.

What language does the grammar with these productions generate? 14. Let ∑ = {a, b}. For each of the following languages, find a grammar that generates it. (a) L1 = {anbm : n ≥ 0, m > n}. (b) L2 = {anb2n : n ≥ 0}. (c) L3 = {an+2bn : n ≥ 1}. (d) L4 = {anbn−3 : n ≥ 3}. (e) L1 L2. (f) L1 ∪ L2. (g) . (h) . (i) . *15. Find grammars for the following languages on ∑ = {a}. (a) L = {w : |w| mod 3 = 0}. (b) L = {w : |w| mod 3 > 0}. (c) L = {w : |w| mod 3 ≠ |w| mod 2}. (d) L = {w : |w| mod 3 ≥ |w| mod 2}.

Show that 2 − is irrational. 31. Show that is irrational. 32. Prove or disprove the following statements. (a) The sum of a rational and an irrational number must be irrational. (b) The sum of two positive irrational numbers must be irrational. (c) The product of a non-zero rational and an irrational number must be irrational. 33. Show that every positive integer can be expressed as the product of prime numbers. 34. Prove that the set of all prime numbers is infinite. 35. A prime pair consists of two primes that differ by two.

### An Introduction to Formal Languages and Automata, 5th Edition by Peter Linz

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