Entity-Relationship diagram: Entity-Relationship (ER) diagram is the method to represent the relational database using graphical form. This graphical representation shows only primary elements such as records, types, attributes, relationships between entities, and so on. The graphical representation of the ER diagram clearly describes the relationship among entities. In the diagram, every connector is labeled. On one side it is represented by the value 1, and on the other side it is labeled with the value “M”. This labeling is referred to as “cardinality constraint” of the relationship.

Question

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 6, Problem 3PE

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Entity-Relationship diagram:

Entity-Relationship (ER) diagram is the method to represent the relational database using graphical form.

This graphical representation shows only primary elements such as records, types, attributes, relationships between entities, and so on.

The graphical representation of the ER diagram clearly describes the relationship among entities.

In the diagram, every connector is labeled.

On one side it is represented by the value 1, and on the other side it is labeled with the value “M”. This labeling is referred to as “cardinality constraint” of the relationship.

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