Type 1 Grammar

Duration: 6 min

This video lesson is available to enrolled students.

Return to /learn/SSC-JE-IMD-SCIENTIFIC-ASSISTANT-COMPUTER-SCIENCE/theory-of-computation/grammar/chomsky-basics/asset-type-1-grammar after enrolling

Inside: a video lesson and guided study material.

Module outline

  1. General Intelligence & Reasoning: Analogy, Non Verbal Reasoning (Spatial Aptitude) (Spatial Reasoning) (Visual Reasoning), Series (Number and Letter Series) (Numerical Relations and Reasoning), Coding Decoding, Blood Relations, Directions (Direction Test), Ranking, Order and Sequence, Logical Sequence Of Words, Syllogisms, Venn Diagram, Deductive and Inductive Reasoning (Logical Deduction and Induction) (Prepositional Reasoning), Selection Decision Table (Decision Making), Data Sufficiency, Puzzle Solving (Puzzles), Data Arrangement, Cubes & Dices, Calendar, Clock, Arithmetic, Number System, HCF LCM, Verbal Analogy (Word Based Analogy), Visual Recognition and Figure Completion, Paper Folding and Cutting, Transformation of Shapes, Clocks and Calendars, Direction Sense, Cubes and Dice, Patterns in Two-Dimensional Figures, Seating Arrangements, Analogy and Classification, Logical Deduction and Induction, Alphabet and Word Tests, Mathematical Operations, Series Completion, Simplification and Approximation, Coding and Decoding, Numerical Reasoning, Assembling and Grouping of Shapes, Three-Dimensional Patterns and Visualization, Vocabulary, Number System, Averages, Mixtures and Alligation, Simple and Compound Interest, Percentages, Algebra, Speed, Time and Distance, Seating and Arrangement Puzzles, Traverse Surveying, Order, Ranking and Sequence, Constraint Puzzles, Syllogisms and Venn Diagrams, Reading Comprehension, Critical Reasoning, Permutations and Combinations, Narrative Sequencing, Project Monitoring, Resources and Safety, Profit, Loss and Discount, Ratio and Proportion, Time and Work, Mensuration, Data Interpretation, Powers, Surds and Logarithms, Sequences and Series, Articles and Determiners, Sentence Completion, Data Sufficiency, Blood Relations, Simple Interest and Compound Interest, Mixture and Alligation, Sequence and Series (Series), Speed Time and Distance, Algebra, Profit and Loss, Powers and Exponents (Surds and Indices), Permutation and Combination
  2. General Awareness: Physics, Chemistry, Biology, History, Geography, Polity, Indian Economy, Environment, Static General Knowledge, GK- Current Affairs, Artificial Intelligence, MS Office Applications, Terms & Abbreviations, Keyboard Shortcuts, Evolution of Indian Banking (Banking & Financial Awareness), Emerging Tech Trends
  3. Engineering Mathematics: Set Theory, Relations, Functions, Graph Theory, Group Theory, Propositional and Predicate Logic, Linear Algebra, Calculus, Probability, Statistics, Signal Space and Optimum Detection, Probability, Statistics
  4. Digital Logic: Digital Systems & Boolean Basics, Logic Gates & Hardware, Boolean Expression, Boolean Minimization, Combinational Circuit, Sequential Circuits, Number System, Number Representation, Floating Point Rep, Number Systems and Codes, Registers and Counters, Boolean Algebra and Logic Gates, Microprocessors and Microcontrollers, Logic Families and CMOS Logic, Microprocessors, Logic Gates and Boolean Algebra, Minimization of Boolean Functions, Timing, Hazards and Testing, Logic Families, Combinational Logic Design, Arithmetic Circuits, Waveform Generators and Timer Circuits, Semiconductor Memories and Programmable Logic Devices, Combinational Logic Circuits, Latches and Flip-Flops, Finite State Machines, Sequential Circuits and State Machines, Minimization of Boolean Functions, Arithmetic Circuits, Latches and Flip-Flops, Number Systems and Codes, Registers and Counters
  5. Computer Organisation & Architecture: Basics of COA, Cache Memory Organization, Input Output Organisation, Pipelining, Instr Formats & Modes, Control Unit Design, Programming the Basic Computer, Register Transfer and Microoperations, Semiconductor Memories and Programmable Logic, Processor Organization and Instructions, Memory Hierarchy and Input/Output, Registers and Counters
  6. Programming & Data Structures: C Fundamentals, Control Flow, Functions, Arrays & Pointers, Storage Classes, Structures & Enums, DMA, Macros, Scoping & File Handling, Introduction to DS, Array, Stack, Queue, Linked List, Tree, Graphs, Hashing, HTML Basics, OOPS with C++, Java, Object Oriented Technology
  7. Databases: Basics of DBMS, ER Diagram, Relational Model & Functional Dependencies, Keys & Integrity Constraints, Normalization (1NF - BCNF), Decomposition Properties & 4NF, File Organization & Indexing, Relational Algebra, SQL, Relational Calculus, Transaction Management, Concurrency Control, Database Recovery, Database Security & Authorization
  8. Algorithms: Algorithm Analysis, Time Complexity Analysis, Sorting Algorithms, Greedy Algorithms, Dynamic Programming, Minimum Spanning Trees, Shortest Path Algos
  9. Theory of Computation: Introduction to TOC, Deterministic FA (DFA), Non-Deterministic FA, Regular Expressions, Grammar, Regular Language Properties, Moore & Mealy Machines, Pushdown Automata & CFG, Turing Machines, Complexity Theory
  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. Operating System: Introduction to OS, Process Management, CPU Scheduling, Process Synchronization, Threads & Process Creation, Deadlock, Memory Management, Virtual Memory, Disc Scheduling, File Management, Security, Windows OS, Distributed Systems, Unix OS, Linux OS
  12. Computer Networks: Introduction to CN, 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, Data Communication, Website, Browser & Services, Web Design & Development, Network Security, Cyber Threats and Malware Attacks, Cyber Safety and Security
  13. Full Length Mock Tests:
  14. Sectional Tests:
AI summary & chapters

AI Summary

An AI-generated summary of this video lecture.

The video introduces Type 1 Grammar, also known as Context-Sensitive Grammar. It defines the grammar as non-contracting and length-increasing, used to generate languages accepted by Linear Bounded Automata. The instructor explains the two standard forms of production rules and emphasizes the length constraint where the right-hand side must be at least as long as the left-hand side.

Chapters

  1. 0:00 – 2:00 00:00-02:00

    The video begins with a slide titled 'Type 1 Grammar'. The text defines it as 'case sensitive Grammar, length increasing grammar, non-contracting grammar'. It states it is 'used to generate context sensitive language which is accepted by a linear bounded automaton'. The slide presents the general production rule form $\alpha A eta ightarrow \alpha \delta eta$. Below this, constraints are listed: $\alpha, eta \in \{\Sigma \cup V_n\}^*$, $A \in V_n$, and $\delta \in \{\Sigma \cup V_n\}^+$. The instructor verbally introduces these terms, setting the stage for understanding the structural properties of this grammar type. He emphasizes that this grammar is also known as context-sensitive grammar.

  2. 2:00 – 5:00 02:00-05:00

    The instructor moves to the second form of the rule, shown as $\alpha ightarrow eta$ under the word 'or'. He explains the constraints: $\alpha \in \{\Sigma \cup V_n\}^* \cap \{\Sigma \cup V_n\}^+$, $eta \in \{\Sigma \cup V_n\}^+$, and crucially $|\alpha| \le |eta|$. He writes on the digital whiteboard to demonstrate invalid rules. He writes $A ightarrow \epsilon$ and marks it with a cross, explaining that length cannot decrease. He also writes $A ightarrow B$ and marks it with a cross, noting that while length is equal, it's generally restricted unless specific conditions are met, but primarily focuses on the non-contracting aspect. He emphasizes that the length of the right-hand side must be greater than or equal to the left-hand side. He specifically points to the text 'or' on the slide to indicate the alternative form.

  3. 5:00 – 5:46 05:00-05:46

    In the final segment, the instructor highlights the exception to the non-contracting rule. He circles the condition $|\alpha| \le |eta|$ and then writes $S ightarrow \epsilon$ on the side, circling it to show it is allowed. He explains that the start symbol $S$ can produce an empty string $\epsilon$ provided $S$ does not appear on the right-hand side of any rule. He writes examples like $S ightarrow aSb$ to illustrate valid context-sensitive productions where the string length increases. He concludes by reinforcing that Type 1 grammars are non-contracting, meaning the string length never decreases during derivation, except for the specific $S ightarrow \epsilon$ case.

The lecture provides a comprehensive overview of Type 1 Grammar, focusing on its alternative names like non-contracting and length-increasing grammar. It establishes the connection to Linear Bounded Automata and Context-Sensitive Languages. The core teaching point is the restriction on production rules, specifically that the length of the right-hand side must be greater than or equal to the left-hand side ($|\alpha| \le |eta|$). The instructor uses visual aids and handwritten notes to clarify valid and invalid rules, highlighting the special exception for the start symbol producing an empty string.

Loading lesson…