Construct a pushdown automaton PDA for the following languag

Construct a pushdown automaton (PDA) for the following language: { a^mbⁿ| 0 < n < 2m }

Strings ab, aabb, aabbb are in the language, whereas , a, b, abb are not.

Solution

A pushdown automaton is a way to enforce a context-free grammar in a similar manner we layout DFA for a ordinary grammar. A DFA can take into account a finite amount of facts, however a PDA can don\'t forget an countless quantity of facts.

basically a pushdown automaton is

\"Finite kingdom machine\" + \"a stack\"

A pushdown automaton has 3 additives

an enter tape,
a manipulate unit, and
a stack with infinite size.
The stack head scans the top symbol of the stack.

A stack does operations

Push a brand new image is brought at the top.

Pop the top symbol is study and eliminated.

A PDA can also or may not examine an enter image, but it has to read the pinnacle of the stack in every transition.