Practice Problem on Follow Function

Duration: 3 min

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  1. About Course: About the Course
  2. Paper 1 | General Studies: State Wise GK
  3. Paper 1 | Information and Communication Technology: Role of Internet and Web Services, Security in Mobile and Wireless Computing
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  5. Paper 2 | Discrete Mathematical Structure: Digital Systems & Boolean Basics, Logic Gates & Hardware, Boolean Expression, Boolean Minimization, Set Theory, Relations, Functions, Graph Theory, Group Theory, Propositional and Predicate Logic, Probability
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  13. Paper 2 | Compiler Design: Intro to Compilers, Lexical Analysis, Grammar & CFG, Syntax Analysis: Top-Down, Syntax Analysis: Bottom-Up, Semantic Analysis & SDT, Intermediate Code Gen, Code Optimization, Run Time Environment
  14. Paper 2 | Database Management System: Basics of DBMS, ER Diagram, Relational Model & Functional Dependencies, Keys & Integrity Constraints, Normalization (1NF - BCNF), Decomposition Properties & 4NF, Relational Algebra, SQL, Transaction Management, Concurrency Control, Database Recovery, Database Security & Authorization, Enhanced Data Models
  15. Paper 2 | Computer Network And Information Security: Introduction to CN, Data Communication, Application Layer, Hardware basics, Cyber Threats and Malware Attacks, Network Security, DLL: Access Control, DLL: Flow Control, DLL: Error Control, DLL: Framing, Data Link Layer - Ethernet, Net Layer: IPv4 & Proto, Net Layer: IP Addressing, Net Layer:Routing Protocol, Transport Layer Services, TL: Congestion & UDP
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  18. Paper 2 | Full Length Mock Tests:
AI summary & chapters

AI Summary

An AI-generated summary of this video lecture.

This educational video provides a comprehensive lecture on computing Follow sets within the context of formal languages and compiler design. The instructor systematically works through several grammar examples to demonstrate the application of Follow set rules. The session begins with basic grammars involving terminals and non-terminals, progressing to more complex scenarios involving epsilon productions. The lecture culminates in a detailed analysis of a specific GATE 2019 examination question, where the instructor breaks down the problem statement, the provided symbol indexing table, and the step-by-step derivation of the required Follow set. Key concepts covered include the definition of Follow sets, the four fundamental rules for their calculation, and the handling of epsilon transitions.

Chapters

  1. 0:00 – 2:00 00:00-02:00

    The instructor starts by analyzing a grammar defined by productions S -> aAb, A -> Ba / b, and B -> d. He writes Follow(S) = {$} on the screen, explaining that the start symbol always includes the end-of-input marker. He then calculates Follow(A) = {b} by observing the production S -> aAb, where b immediately follows A. Next, he determines Follow(B) = {a} based on the production A -> Ba. The lesson transitions to a new grammar S -> S0S1 / epsilon, where he again establishes Follow(S) = {$}. Finally, he introduces a complex grammar S -> AaAb / BaBb with A -> epsilon and B -> epsilon, calculating Follow(S) = {$} and Follow(A) = {a, b} to illustrate handling of multiple productions and epsilon rules.

  2. 2:00 – 3:23 02:00-03:23

    The video shifts to a specific GATE 2019 problem involving the grammar S -> Aa, A -> BD, B -> b | epsilon, and D -> d | epsilon. A table is displayed mapping symbols to indices: a=3, b=2, d=1, and $=0. The instructor presents a slide titled Follow listing four specific rules. Rule 1 states that if A is the start symbol, Follow(A) = {$}. Rule 2 covers A -> alpha B beta where beta is not epsilon, setting Follow(A) = First(beta). Rule 3 addresses S -> alpha A, implying Follow(A) = Follow(S). Rule 4 handles S -> alpha B beta where beta derives epsilon, stating Follow(A) = First(beta) U Follow(S) - epsilon. He applies these rules to the GATE question, explaining that since D can derive epsilon in A -> BD, the Follow set of B must include First(D) and Follow(A).

The lecture effectively bridges theoretical definitions with practical problem-solving. By moving from simple examples to a competitive exam question, the instructor reinforces the importance of understanding epsilon productions and the interaction between First and Follow sets. The structured presentation of rules on the slide serves as a clear reference for students to apply these concepts to various grammar structures.

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