Virtual Labs

Acceptance by Non-Deterministic Turing Machines

The exploration of multiple paths in a non-deterministic Turing machine (NDTM) is significant because it:

a: Guarantees a solution to NP problems Explanation

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b: Demonstrates a (theoretical) way to solve problems that may not be efficiently solvable by deterministic machines Explanation

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c: Makes NDTMs faster than deterministic machines Explanation

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d: Allows NDTMs to solve problems outside of NP Explanation

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A deterministic Turing machine is characterized by:

a: Exploring multiple computational paths simultaneously Explanation

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b: Making random decisions at each step Explanation

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c: Following a single, defined computational path for a given input Explanation

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d: Solving problems that non-deterministic machines cannot Explanation

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Which statement is true about regular languages?

a: They can only be recognized by non-deterministic machines Explanation

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b: They are more complex than context-free languages Explanation

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c: They are recognized by both deterministic and non-deterministic finite automata Explanation

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d: They require Turing machines (or higher) for recognition Explanation

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What does it mean for a problem to be NP-hard?

a: It can be solved in polynomial time Explanation

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b: Its solution can be verified in polynomial time Explanation

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c: It is at least as hard as the hardest problems in NP Explanation

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d: It is solvable by non-deterministic machines only Explanation

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In computational theory, 'NP' refers to problems where:

a: Solutions can be found in non-polynomial time Explanation

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b: Solutions can be verified in polynomial time by a DTM Explanation

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c: Deterministic machines can find solutions faster than non-deterministic machines Explanation

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d: Solutions are always available but hard to compute Explanation

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