Practice Question

Duration: 4 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
  13. Digital Society & Cyber Law: Society, Law & Ethics, साइबर सुरक्षा / Cyber Safety and Security
  14. HPSC PGT Previous Year Paper:
  15. HPSC Assistant Professor Previous Year Paper:
  16. Live Sessions: HPSC Live Sessions, EMRS TGT/PGT Live Class
  17. Full Mock Test:
  18. HPSC PGT - MOCK Test Series:
AI summary & chapters

AI Summary

An AI-generated summary of this video lecture.

The lecture focuses on converting a non-deterministic context-free grammar into a deterministic one using the left factoring technique. The problem statement presents the grammar S -> aAb / aABc / aABcd / aA / a. The instructor explains that this grammar is non-deterministic because multiple productions begin with the terminal 'a', creating ambiguity for a predictive parser. He systematically applies left factoring to resolve this. The process involves identifying common prefixes, extracting them into new non-terminals, and repeating the process until no common prefixes remain among the alternatives of any non-terminal. The final output is a set of productions where each rule starts with a unique terminal, ensuring determinism.

Chapters

  1. 0:00 – 2:00 00:00-02:00

    The instructor begins by analyzing the initial grammar S -> aAb / aABc / aABcd / aA / a. He identifies 'a' as the common prefix for all productions. He rewrites the rule as S -> aS'. The alternatives for S' are derived by removing the 'a': Ab, ABc, ABcd, A, and epsilon (representing the original a production). He then observes that Ab, ABc, ABcd, and A all start with the non-terminal 'A'. He factors out 'A' to create S' -> AS'' / epsilon. Next, he looks at S'' alternatives: b, Bc, Bcd, epsilon. He identifies 'B' as a common prefix for Bc and Bcd, rewriting S'' as S'' -> BS''' / b / epsilon. This window establishes the hierarchical structure of the factored grammar.

  2. 2:00 – 3:33 02:00-03:33

    The instructor finalizes the grammar by factoring the remaining alternatives for S'''. The current alternatives are c and cd. He identifies 'c' as the common prefix and introduces a new non-terminal S''''. He writes S''' -> cS''''. The new non-terminal S'''' handles the suffixes: epsilon (for the c case) and d (for the cd case), written as S'''' -> epsilon / d. He then organizes the final grammar by numbering the productions: 1. S -> aS', 2. S' -> AS'' / epsilon, 3. S'' -> BS''' / b / epsilon, 4. S''' -> cS'''', 5. S'''' -> epsilon / d. He reviews these steps to ensure the grammar is now deterministic and free of left recursion or common prefixes.

The video effectively demonstrates the iterative nature of left factoring. By breaking down the grammar into layers of non-terminals (S', S'', S''', S''''), the instructor removes ambiguity at each level. The final grammar is suitable for LL(1) parsing because the FIRST sets of the alternatives for each non-terminal are disjoint. This transformation is a fundamental step in compiler design for constructing efficient parsers.

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