Select all statements equivalent to "Language A is decidable by a TM."1 pointA is decidable by a C programA is decidable by a Python programA is decidable by a NFAA is decidable by a PDAA is decidable by a context-free grammar
Question
Select all statements equivalent to "Language A is decidable by a TM."1 pointA is decidable by a C programA is decidable by a Python programA is decidable by a NFAA is decidable by a PDAA is decidable by a context-free grammar
Solution
All the statements equivalent to "Language A is decidable by a TM" are:
- A is decidable by a C program
- A is decidable by a Python program
- A is decidable by a PDA
The reason is that a Turing Machine (TM), C program, Python program, and Pushdown Automaton (PDA) all have the computational power to decide a language. However, a Non-deterministic Finite Automaton (NFA) and a context-free grammar do not have the same computational power and cannot decide all languages that a TM can. Therefore, they are not equivalent to "Language A is decidable by a TM."
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