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The language accepted by a Pushdown Automaton in which the stack is limited to $10$ items is best described as

  1. Context free
  2. Regular
  3. Deterministic Context free
  4. Recursive
asked in Theory of Computation by Veteran (59.5k points)
edited by | 1.7k views

1 Answer

+23 votes
Best answer

B. Regular.

With only finite positions in stack, we can have only finite configurations and these can also be modeled as states in a finite automata.

answered by Veteran (357k points)
edited by
+8
Yes, we have finite configurations in stack. We can make a DFA with same power, simply replicating each configuration with new state. And
For every DFA, We have such PDA (Simply don't use stack at all)
Hence this PDA is equivalent to DFA.


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