Practice Problem on Follow Function

Duration: 3 min

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Module outline

  1. HPSC Interview Preparation: Interview Preparation
  2. Python Language: Introduction to Python, Tokens, Variables, Data Types, I/O, Operators & Expressions, Control Flow & Looping, Collections & Strings, Functions & Modules, File Handling & Data Analysis, DSA using Python
  3. Data Structure & Algorithms: Introduction to DS, Array, Stack, Queue, Linked List, Tree, Graphs, Hashing, Algorithm Analysis, Sorting Algorithms, Minimum Spanning Trees, Time Complexity Analysis, Graph Theory, Shortest Path Algos
  4. Computer Networks: Introduction to CN, Data Communication, DLL: Access Control, DLL: Flow Control, Data Link Layer - Ethernet, Net Layer: IPv4 & Proto, Net Layer: IP Addressing, Transport Layer Services, TL: Congestion & UDP, Application Layer, Hardware basics, Network Security
  5. Computer System & Organisation: Basics of COA, Cache Memory Organization, Input Output Organisation, Pipelining, Instr Formats & Modes, Control Unit Design, Programming the Basic Computer
  6. Database Management System: Basics of DBMS, ER Diagram, Relational Model & Functional Dependencies, Keys & Integrity Constraints, Normalization (1NF - BCNF), Decomposition Properties & 4NF, SQL, File Organization & Indexing, Transaction Management, Concurrency Control
  7. Operating Systems: Introduction to OS, Process Management, CPU Scheduling, Process Synchronization, Deadlock, Threads & Process Creation, Memory Management, Virtual Memory, Disc Scheduling
  8. Digital Logic & Circuits: Digital Systems & Boolean Basics, Logic Gates & Hardware, Boolean Expression, Boolean Minimization, Combinational Circuit, Sequential Circuits, Number System, Number Representation
  9. Theory Of Computation: Introduction to TOC, Deterministic FA (DFA), Non-Deterministic FA, Regular Expressions, Grammar, Regular Language Properties, Pushdown Automata & CFG, Turing Machines, Moore & Mealy Machines
  10. 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
  11. Software Engineering: Fundamentals of Software Engineering, Software Requirements and Quality Assurance, Software Design, Estimation and Metrics, Software Testing, Software Maintenance and Configuration Management, Data Warehousing & Mining
  12. Introduction to Emerging Trends: Emerging Tech Trends, समुच्चय, संबंध, फलन और विविक्त गणित / Sets, Relations, Functions and Discrete Mathematics, व्यापार, विपणन एवं उपभोक्ता संरक्षण / Trade, Marketing and Consumer Protection, कंप्यूटर नेटवर्क / Computer Networks
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  16. Live Sessions: HPSC Live Sessions, EMRS TGT/PGT Live Class
  17. Full Mock Test:
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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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