## How do you convert CFG to PDA?

The following steps are used to obtain PDA from CFG is: Step 1: Convert the given productions of CFG into GNF. Step 2: The PDA will only have one state {q}. Step 3: The initial symbol of CFG will be the initial symbol in the PDA….Now we will convert this CFG to GNF:

1. S → 0SX | 1SY | ε
2. X → 1.
3. Y → 0.

## Can PDA recognize CFG?

PDA is an automaton with finite states and the memory can be unbounded. With the application of a PDA, it will be able to recognize a CFG that looks like this: {0^n 1^n | n∈ ℕ}. A PDA can be different types of transitions, such as expansions, reductions, and conditional.

What is difference between CFG and PDA?

CFG and PDA are equivalent in power: a CFG generates a context-free language and a PDA recognizes a context-free language. and the equivalent PDA to be used to implement its compiler. A language is context-free iff some pushdown automaton recognizes it.

What are the rules to convert any context free grammar to pushdown automata?

Step 1 − Convert the productions of the CFG into GNF. Step 2 − The PDA will have only one state {q}. Step 3 − The start symbol of CFG will be the start symbol in the PDA. Step 4 − All non-terminals of the CFG will be the stack symbols of the PDA and all the terminals of the CFG will be the input symbols of the PDA.

### Can PDA recognize non context free languages?

Since every language accepted by a PDA is context-free, it must be the case that no PDA exists that will accept a non-context-free language.

### Can PDA recognize all non context-free language?

Pushdown automata do not recognize context-free grammars, but context-free languages. The language of any context-free grammar can be recognized by some nondeterministic pushdown automaton, though.

Why PDA is more powerful than FA?

A PDA is more powerful than FA. Any language which can be acceptable by FA can also be acceptable by PDA. PDA also accepts a class of language which even cannot be accepted by FA. Thus PDA is much more superior to FA.

How do you simplify a CFG?

Step 1: To remove X → Y, add production X → a to the grammar rule whenever Y → a occurs in the grammar. Step 2: Now delete X → Y from the grammar. Step 3: Repeat step 1 and step 2 until all unit productions are removed.