LALR(1) Part-3

Duration: 8 min

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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:
  15. Paper 2 - Full-length Mock Tests:
AI summary & chapters

AI Summary

An AI-generated summary of this video lecture.

The video presents a comprehensive lecture on constructing an SLR(1) parsing table for a specific context-free grammar. The instructor begins by defining the grammar rules, which include productions for S, A, and B. He then introduces the concept of grammar augmentation by adding a new start symbol S' and the production S' -> S. The core of the lecture involves building the canonical collection of LR(0) items, which forms the states of the DFA used in parsing. The instructor systematically derives each state (I0 through I12) by computing closures and transitions. Finally, he constructs the parsing table, mapping states to actions (shift, reduce, accept) and goto transitions based on the derived items and lookahead symbols. This process is crucial for compiler design and understanding how parsers work.

Chapters

  1. 0:00 – 2:00 00:00-02:00

    The instructor introduces the grammar with productions S -> Aa, S -> bAc, S -> Bc, S -> bBa, A -> d, and B -> d. He explains the need for grammar augmentation to handle the start symbol correctly, adding S' -> S. He then begins constructing the initial state I0. He writes down the closure of the augmented production S' -> .S, $, which includes S -> .Aa, $, S -> .bAc, $, S -> .Bc, $, and S -> .bBa, $. He further expands the closure by adding productions for non-terminals A and B that appear after the dot, resulting in A -> .d, a and B -> .d, c. This state I0 serves as the starting point for the state machine, containing all possible initial moves. The items are written clearly on the board, showing the dot position and lookahead symbols.

  2. 2:00 – 5:00 02:00-05:00

    The instructor proceeds to build the transitions from state I0. He identifies transitions on terminals 's', 'A', 'B', 'b', and 'd'. The transition on 's' leads to state I1, which contains the completed item S' -> S., $. The transition on 'A' leads to state I2 with S -> A.a, $. The transition on 'B' leads to state I3 with S -> B.c, $. The transition on 'b' leads to state I4, which contains S -> b.Ac, $, S -> b.Ba, $, A -> .d, c, and B -> .d, a. The transition on 'd' leads to state I5, containing A -> d., a and B -> d., c. He carefully writes out the items for each new state, ensuring the lookahead symbols are correctly propagated from the parent state. This step-by-step derivation is essential for building the correct state machine. The closure of I4 is particularly important as it includes multiple productions.

  3. 5:00 – 7:53 05:00-07:53

    The lecture continues with the construction of the remaining states and the final parsing table. From state I4, transitions on 'A' and 'B' lead to states I6 (S -> bA.c, $) and I7 (S -> bB.a, $) respectively. Transitions on 'c' from I6 and 'a' from I7 lead to states I11 (S -> bAc., $) and I12 (S -> bBa., $). The instructor then draws the parsing table with rows for states I0 to I12 and columns for terminals a, b, c, d, and $. He fills in the action and goto entries. For example, I0 has goto entries for s, A, B, b, and d. I1 has an accept action on $. He fills in shift actions (S) and reduce actions (R) based on the completed items in each state, such as reducing A -> d in state I5 on input 'a'. The video concludes with a nearly complete parsing table ready for analysis, showing the full structure of the parser. The table entries are filled systematically.

The video provides a step-by-step walkthrough of SLR(1) parsing table construction. It starts with the fundamental grammar definition and moves through the critical steps of augmentation, state machine construction (DFA), and finally table population. The instructor emphasizes the importance of tracking lookahead symbols to resolve conflicts and correctly identify reduce actions. The progression from I0 to the final states I12 demonstrates the systematic nature of the algorithm, showing how each production rule contributes to the parsing structure. The final table serves as a complete specification for a parser to recognize strings generated by the given grammar.

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