1.Show that the following language is decidable, by reducing it to ECFG (which wealready know is decidable):{{G, a) : there exists a string of terminals that is generated by the CFG G and}Lthat does not contain the terminal a

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Answered: 1. Show that the following language is…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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For the following we assume an alphabet with 52 letters (a-zA-Z), and 10 digits (0..9). a) You have to pick a new password that follows these rules: • your password consists of 5 characters (letters or digits) • letters and digits must alternate in the password (but either one can come first). How many such passwords are there? Explain how you found your answer. b) Your sys-ad adds the following restriction: no letter or digit may occur more than once. How many passwords are there now? c) Finally, your sys-ad (on top of b) also adds the restriction that at least one letter must be upper case, and at least one letter lower case. How many legal passwords are left now? Hint: there are difficult ways of doing this. Easy ways start with the thought of what the opposite of having at least one upper case letter means and then using |A − B| = |A| − |B| for B ⊆ A. Hint 2: do this in two steps. First deal with the restriction that there must be at least one upper case letter, then add in the…
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1. Show that the following language is decidable, by reducing it to ECFG (which we already know is decidable): {{G, a) : there exists a string of terminals that is generated by the CFG G and } L that does not contain the terminal a