Defining Langugae by Grammar

Duration: 6 min

This video lesson is available to enrolled students.

Return to /learn/NIACL-AO-IT-SPECIALIST/computer-architecture-it-specialist/grammar-cfg/grammar-basics-chomsky/asset-defining-langugae-by-grammar after enrolling

Inside: a video lesson and guided study material.

Module outline

  1. Quantitative Aptitude: Ratio and Proportion (Ratios), Data Interpretation, Mixture and Alligation, Permutation and Combination, Number System, Sequence and Series (Series), Speed Time and Distance, Speed Mathematics and Basic Mathematics, Algebra, Percentage, Profit and Loss, Simple Interest and Compound Interest, Powers and Exponents (Surds and Indices), Time and Work, Mensuration and Geometry, Partnership
  2. Reasoning Ability: Series (Number and Letter Series) (Numerical Relations and Reasoning), Coding Decoding, Data Sufficiency, Seating Arrangements, Deductive and Inductive Reasoning (Logical Deduction and Induction) (Prepositional Reasoning), Directions (Direction Test), Ranking, Order and Sequence, Syllogisms, Blood Relations, Puzzle Solving (Puzzles), Inequality, Machine Input-Output
  3. English Language: Vocabulary, Noun, Subject Verb Agreement (Verb Noun Agreement), Adjectives, Tenses, Comprehension / Reading Comprehension / Unseen Passages (Critical Reasoning) (Paragraph Questions), Cloze Test (Cloze Passage), Sentence Correction (Error Correction), Sentence Completion (Fill in the blanks), Sentence Re-arrangements (Para Jumbles) (Narrative Sequencing), Sentence Construction, Pronoun, Preposition, Conjunction, Adverb, Verb, Modals, Articles, Determiner, Interjection
  4. General Awareness: Evolution of Indian Banking (Banking & Financial Awareness), GK- Current Affairs, Static General Knowledge, Indian Economy
  5. C Concepts + MCQs (IT Specialist): C Programming by Yash Sir, C Language Core
  6. Java (IT Specialist): Java
  7. Python (IT Specialist): Python for Placements by Yash Sir, Python Basics
  8. OOPs (IT Specialist): Object Oriented Programming (OOPS)
  9. DBMS (IT Specialist): Basics of DBMS, ER Diagram, Relational Model & Functional Dependencies, Keys & Integrity Constraints, Normalization (1NF - BCNF), Decomposition Properties & 4NF, File Organization & Indexing, Relational Algebra, Relational Calculus, Transaction Management, Concurrency Control, Database Recovery, ORDBMS, Database Security & Authorization, Query Processing & Optimization, Enhanced Data Models, Data Warehousing & Mining, Big Data Systems, NoSQL
  10. SQL (IT Specialist): SQL
  11. Software Engineering (IT Specialist): Fundamentals of Software Engineering, Software Requirements and Quality Assurance, Software Design, Estimation and Metrics, Software Testing, Software Maintenance and Configuration Management
  12. Data Structure (IT Specialist): Introduction to DS, Array, Stack, Queue, Linked List, Tree, Graphs, Hashing
  13. Operating System (IT Specialist): Introduction to OS, Process Management, CPU Scheduling, Process Synchronization, Deadlock, Threads & Process Creation, Memory Management, Virtual Memory, Disc Scheduling, File Management, Windows OS, Linux OS, Security, Distributed Systems, Virtual Machines
  14. Compiler Design (IT Specialist): 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
  15. Computer Architecture (IT Specialist): Basics of COA, Floating Point Rep, Cache Memory Organization, Input Output Organisation, Pipelining, Instr Formats & Modes, Control Unit Design, Register Transfer and Microoperations, Multiprocessors, Programming the Basic Computer
  16. Data Communication & Networking (IT Specialist): Introduction to CN, Data Communication, 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, Application Layer, Hardware basics, Network Security
  17. Descriptive Test (Main Exam): English Writing Ability
AI summary & chapters

AI Summary

An AI-generated summary of this video lecture.

The video lecture provides a comprehensive introduction to formal grammars, specifically focusing on how to determine the language generated by a given context-free grammar. The instructor begins by dissecting a specific grammar problem, identifying its four components: non-terminals, terminals, productions, and the start symbol. He then walks through the step-by-step derivation of strings to reveal the underlying pattern of the language. Finally, the lecture transitions to theoretical definitions, clarifying the rules of production substitution and formally defining the language of a grammar using set notation and derivation closure.

Chapters

  1. 0:00 – 2:00 00:00-02:00

    The instructor introduces a specific problem on the whiteboard: "If G = ({S}, {0, 1}, {S -> 0S1, S -> Lambda}, S), find L(G)." He systematically breaks down the grammar tuple, writing labels underneath each part to identify Vn (non-terminals), Sigma (terminals), P (productions), and S (start symbol). He explicitly writes out the production rules S -> 0S1 and S -> Lambda, explaining that Lambda represents the empty string, often denoted as epsilon. He emphasizes that the goal is to find the set of all strings generated by these rules.

  2. 2:00 – 5:00 02:00-05:00

    The instructor demonstrates the generation of strings using derivation trees. He starts with the base case where S -> Lambda produces the empty string. He then applies the rule S -> 0S1 followed by S -> Lambda to generate the string "01". He continues this process, drawing larger trees to show how "0011" and "000111" are formed. By observing these examples, he deduces the general pattern and writes the final language definition on the board as L = {0^n 1^n | n >= 0}. He highlights that n must be greater than or equal to zero.

  3. 5:00 – 6:15 05:00-06:15

    The lecture moves to a slide titled "Some points to note about productions." The instructor explains that reverse substitution is not permitted, illustrating that if S -> AB exists, one cannot replace AB with S. He then presents a slide on "Defining a language by grammar," introducing the formal notation L(G) = {w | w in Sigma*, S =>* w}. He explains that the symbol =>* represents the reflexive, transitive closure, meaning a string w is in the language if it can be derived from the start symbol S in zero or more steps. He briefly compares this to machine language definitions.

The lesson effectively bridges the gap between practical problem-solving and theoretical formalism. It begins with a concrete exercise where students learn to generate strings from a grammar to identify a pattern, reinforcing the concept of derivation. It then solidifies this understanding by defining the formal rules of production and the mathematical notation used to describe the language of a grammar, ensuring a complete grasp of how grammars define languages in formal language theory.

Loading lesson…