Type-1 Grammar

Duration: 6 min

This video lesson is available to enrolled students.

Return to /learn/HPSC-PGT-COMPUTER-SCIENCE/compiler-design/grammar-cfg/grammar-basics-chomsky/asset-type-1-grammar-4301 after enrolling

Inside: a video lesson and guided study material.

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
  13. Digital Society & Cyber Law: Society, Law & Ethics
  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.

This lecture introduces Type 1 Grammar, formally known as Context-Sensitive Grammar. The instructor explains that it is also referred to as 'case sensitive Grammar,' 'length increasing grammar,' and 'non-contracting grammar.' The slide explicitly states that this grammar type is 'used to generate context sensitive language which is accepted by a linear bounded automaton.' The core of the lecture focuses on the specific production rules that define these grammars, emphasizing the constraint on string length during derivation. The instructor uses digital annotations to clarify exceptions regarding the empty string.

Chapters

  1. 0:00 – 2:00 00:00-02:00

    The video begins with an overview of Type 1 Grammar. The slide text lists alternative names: 'Also known as case sensitive Grammar, length increasing grammar, non-contracting grammar.' The instructor reads these terms and explains their significance in the context of formal language theory. The slide further notes that this grammar is 'used to generate context sensitive language which is accepted by a linear bounded automaton.' This sets the theoretical foundation for the rules that follow, establishing the connection between grammar types and automata.

  2. 2:00 – 5:00 02:00-05:00

    The instructor details the production rules for Type 1 Grammar. The slide shows two forms: 'αAβ → αδβ' and 'α → β'. He explains the constraints: 'α, β ∈ {Σ U Vn}*', 'A ∈ Vn', and 'δ ∈ {Σ U Vn}+'. He highlights the condition '|α| <= |β|' on the slide. To clarify, he writes 'A -> ε' with a cross (X) to indicate it is generally forbidden. He then writes 'S -> ε' to show the specific exception allowed for the start symbol, ensuring the language can include the empty string if necessary. He emphasizes that the length of the right-hand side must be greater than or equal to the left-hand side.

  3. 5:00 – 5:46 05:00-05:46

    The lecture concludes with a deeper dive into the start symbol exception. The instructor writes 'S' -> ε' and discusses how to modify grammars to handle the empty string without violating the non-contracting rule. He circles '|α| <= |β|' to reinforce that the length of the right-hand side must not be less than the left-hand side. He explicitly states that rules like 'A -> B' are not allowed because they decrease length, which contradicts the definition of Type 1 Grammar. He ensures students understand that only the start symbol can generate epsilon under specific conditions.

The video systematically breaks down Type 1 Grammar, moving from its alternative names to its formal production rules. The instructor uses on-screen writing to clarify exceptions, particularly regarding the empty string and the start symbol. The key takeaway is the non-contracting nature of the rules, where '|α| <= |β|', ensuring that derivations do not shorten strings, except for the specific case of the start symbol generating epsilon. This distinction is crucial for understanding context-sensitive languages.

Loading lesson…