Statement 1: Multitrack Turing machine.Statement 2: Gamma is Cartesian...
Cartesian product works like a struct in C/C++. For Example: Computer tape storage is something like 8 or 9 bits in each cell. One can recognize a multi track tape machine by looking at the transitions because each will have tuples as the read and write symbols.
View all questions of this test
Statement 1: Multitrack Turing machine.Statement 2: Gamma is Cartesian...
Statement 1: Multitrack Turing machine.
Statement 2: Gamma is Cartesian product of a finite number of finite sets.
The correct option is a) Statement 1 is the assertion and Statement 2 is the reason.
Explanation:
To understand why option 'a' is the correct answer, let's analyze each statement individually.
1. Multitrack Turing machine:
A Turing machine is a theoretical device that can simulate any computer algorithm, given enough time and memory. It consists of an infinite tape divided into cells, a read-write head, and a set of states. The read-write head can move left or right along the tape and read or write symbols on the cells.
A multitrack Turing machine is an extension of the classical Turing machine with multiple read-write heads that can independently move along parallel tracks on the tape. Each head has its own state and can read or write symbols independently of the other heads.
2. Gamma is Cartesian product of a finite number of finite sets:
In set theory, the Cartesian product of two sets A and B, denoted by A × B, is the set of all ordered pairs (a, b) where a is in A and b is in B.
The statement asserts that Gamma, which is not explicitly defined, is the Cartesian product of a finite number of finite sets. Without further context or definition of Gamma, it is difficult to determine the precise meaning of this statement.
Reasoning:
The reasoning behind the correct option is that Statement 1 (Multitrack Turing machine) provides a specific concept or assertion, while Statement 2 (Gamma is Cartesian product of a finite number of finite sets) serves as a reason or explanation for Statement 1.
In this case, the concept of a multitrack Turing machine is being explained or justified by stating that Gamma, which is undefined, can be represented as a Cartesian product of finite sets. The reasoning suggests that the multitrack nature of the Turing machine can be understood or represented using the concept of Cartesian products.
Therefore, Statement 1 is the assertion and Statement 2 is the reason for that assertion. This aligns with option 'a', making it the correct answer.
To make sure you are not studying endlessly, EduRev has designed Computer Science Engineering (CSE) study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Computer Science Engineering (CSE).