Church's Thesis supports-------
2025
Church's Thesis supports-------
- A.
Both TM is an general-purpose computer and TM is an algorithm and vice-versa are correct
- B.
A Turing machine an algorithm and an algorithm as a Turing machine
- C.
A Turing machine as a general-purpose computer system
- D.
None of them is correct
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Correct answer: B
Explanation
Church's Thesis (also known as the Church-Turing Thesis) is a fundamental hypothesis in computer science and mathematical logic. It states that the intuitive notion of an 'effective method' or 'algorithm' is equivalent to the formal definition of a function computable by a Turing Machine.
In simpler terms, if a problem can be solved by any algorithmic process, it can be solved by a Turing Machine. Conversely, any process a Turing Machine can perform can be described as an algorithm. This establishes a direct equivalence between the abstract concept of an algorithm and the concrete model of a Turing Machine.
Therefore, the statement that 'A Turing machine is an algorithm and an algorithm is a Turing machine' best captures the essence of Church's Thesis.