Data Model: Data modeling is the process of creating the model for the data entities involved in the business system and their relationship between them. Entities may represent the physical object, event, or concept. An attribute is a property of an entity. Relationship denotes the link between the entities. Cardinality represents the relationship between entities through three relationships such as, 1:1 (one to one) 1:N (one to many) M:N (many to many) Entity relationship diagram: The entity-relationship diagram is a graphical demonstration of entity-relationship model. A logical representation of business data for a business area is the entity-relationship model (E-R model). In the business environment, the E-R model is expressed in terms of entities and relationships between the entities.

Question

[5 marks] Give a recursive definition for the language anb2n where n = 1, 2, 3, ... over the alphabet Ó={a, b}. 2) [12 marks] Consider the following languages over the alphabet ={a ,b}, (i) The language of all words that begin and end an a (ii) The language where every a in a word is immediately followed by at least one b. (a) Express each as a Regular Expression (b) Draw an FA for each language (c) For Language (i), draw a TG using at most 3 states (d) For Language (ii), construct a CFG.

Answer 1

Question

Chapter 5, Problem 1PSE

Program Plan Intro

Data Model:

Data modeling is the process of creating the model for the data entities involved in the business system and their relationship between them.

Entities may represent the physical object, event, or concept.

An attribute is a property of an entity.

Relationship denotes the link between the entities.

Cardinality represents the relationship between entities through three relationships such as,

1:1 (one to one)

1:N (one to many)

M:N (many to many)

Entity relationship diagram:

The entity-relationship diagram is a graphical demonstration of entity-relationship model.

A logical representation of business data for a business area is the entity-relationship model (E-R model).

In the business environment, the E-R model is expressed in terms of entities and relationships between the entities.

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[5 marks] Give a recursive definition for the language anb2n where n = 1, 2, 3, ... over the alphabet Ó={a, b}. 2) [12 marks] Consider the following languages over the alphabet ={a ,b}, (i) The language of all words that begin and end an a (ii) The language where every a in a word is immediately followed by at least one b. (a) Express each as a Regular Expression (b) Draw an FA for each language (c) For Language (i), draw a TG using at most 3 states (d) For Language (ii), construct a CFG.

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