GATE CSE 2006 | Parsing Question 43 | Compiler Design

GATE CSE 2006

MCQ (Single Correct Answer)

-0.6

In the correct grammar of the previous question, what is the length of the derivation (number of steps starring from S) to generate the string $${a^l}{b^m}$$ with $$l \ne m$$?

$$\max (l,m) + 2$$

$$l + m + 2$$

$$l + m + 3$$

$$\max (l,m) + 3$$

GATE CSE 2006

MCQ (Single Correct Answer)

-0.6

Which one of the following grammars generates the following language?

$$L = \left( {{a^i}{b^j}|i \ne j} \right)$$

$$\eqalign{ & S \to AC\,|\,CB \cr & C \to aCb\,|\,a\,|\,b \cr & A \to aA\,|\, \in \cr & B \to Bb\,|\, \in \cr} $$

$$S \to aS\,|\,Sb\,|\,a\,|\,b$$

$$\eqalign{ & S \to AC\,|\,CB \cr & C \to aCb\,|\, \in \cr & A \to aA\,|\, \in \cr & B \to Bb\,|\, \in \cr} $$

$$\eqalign{ & S \to AC\,|\,CB \cr & C \to aCb\,|\, \in \cr & A \to aA\,|\,a \cr & B \to Bb\,|\,b \cr} $$

GATE CSE 2005

MCQ (Single Correct Answer)

-0.6

Consider the grammar

$$S \to \left( S \right)\,|\,a$$

Let the number of states in SLR(1), LR(1) and LALR(1) parsers for the grammar be n₁, n₂ and n₃ respectively.

The following relationship holds good

n₁ < n₂ < n₃

n₁ = n₃ < n₂

n₁ = n₂ = n₃

n₁ ≥ n₃ ≥ n₂

GATE CSE 2005

MCQ (Single Correct Answer)

-0.6

Consider the grammar

$$E \to E + n\,|\,E \times n\,|\,n$$

For a sentence n + n × n, the handles in the right-sentential form of the reduction are

n, E + n and E + n × n

n, E + n and E + E × n

n, n + n and n + n × n

n, E + n and E × n

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GATE CSE Subjects

Theory of Computation

Finite Automata and Regular Language Push Down Automata and Context Free Language Undecidability Recursively Enumerable Language and Turing Machine

Operating Systems

Process Concepts and Cpu Scheduling Synchronization and Concurrency Deadlocks Memory Management File System IO and Protection

Algorithms

Complexity Analysis and Asymptotic Notations Searching and Sorting Divide and Conquer Method Greedy Method Dynamic Programming P and NP Concepts

Digital Logic

Number Systems Boolean Algebra K Maps Combinational Circuits Sequential Circuits

Database Management System

Er Diagrams Functional Dependencies and Normalization Structured Query Language Relational Algebra Transactions and Concurrency File Structures and Indexing

Data Structures

Arrays Stacks and Queues Linked List Trees Graphs Hashing

Computer Networks

Concepts of Layering Data Link Layer and Switching Network Layer Application Layer Protocol Routing Algorithm TCP UDP Sockets and Congestion Control Lan Technologies and Wi-Fi Network Security

Software Engineering

Compiler Design

Lexical Analysis Parsing Syntax Directed Translation Code Generation and Optimization

Web Technologies

General Aptitude

Verbal Ability Logical Reasoning Numerical Ability

Discrete Mathematics

Set Theory & Algebra Linear Algebra Graph Theory Combinatorics Mathematical Logic Probability Calculus

Programming Languages

Basic of Programming Language Function and Recursion Pointer and Structure in C

Computer Organization

Computer Arithmetic Pipelining Machine Instructions and Addressing Modes Memory Interfacing IO Interface Alu Data Path and Control Unit Secondary Memory