Shorthand representation of the relational database structure: The shorthand representation is used to represent the database table in an easier and an understandable way by using primary keys. The step wise process for representing a shorthand representation of a database structure is as follows: First, the Table Name is written down. Using paranthesis, list down all the columns or fields in the table within the paranthesis. From the shorthand representation, data such as primary keys can be identified. In this kind of representation, bold or underline data is used to represent a Primary key.

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1.) Consider the problem of determining whether a DFA and a regular expression are equivalent. Express this problem as a language and show that it is decidable. ii) Let ALLDFA = {(A)| A is a DFA and L(A) = "}. Show that ALLDFA is decidable. iii) Let AECFG = {(G)| G is a CFG that generates &}. Show that AECFG is decidable. iv) Let ETM {(M)| M is a TM and L(M) = 0}. Show that ETM, the complement of Erm, is Turing-recognizable. Let X be the set {1, 2, 3, 4, 5} and Y be the set {6, 7, 8, 9, 10). We describe the functions f: XY and g: XY in the following tables. Answer each part and give a reason for each negative answer. n f(n) n g(n) 1 6 1 10 2 7 2 9 3 6 3 8 4 7 4 7 5 6 5 6 Aa. Is f one-to-one? b. Is fonto? c. Is fa correspondence? Ad. Is g one-to-one? e. Is g onto? f. Is g a correspondence? vi) Let B be the set of all infinite sequences over {0,1}. Show that B is uncountable using a proof by diagonalization.

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Chapter 2, Problem 1TD

Program Plan Intro

Shorthand representation of the relational database structure:

The shorthand representation is used to represent the database table in an easier and an understandable way by using primary keys.

The step wise process for representing a shorthand representation of a database structure is as follows:

First, the Table Name is written down.

Using paranthesis, list down all the columns or fields in the table within the paranthesis.

From the shorthand representation, data such as primary keys can be identified.

In this kind of representation, bold or underline data is used to represent a Primary key.

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