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## Push Down Automata

Push Down Automata:The PDA is used in theories regarding what can be estimated by machines. It is more capable in compare of a finite-state machine but less capable in compare of a Turing machine. Since its input can be described with a formal grammar, it can be utilized in parser design. The deterministic pushdown automaton can deal along with all of the deterministic context-free languages whereas the nondeterministic version can handle all context-free languages.

PDA as a state diagram:A PDA is formally described as a 7-tuple:

(Q, ∑, Δ, δ, q0, Z0, F)

Where,

Q refer a finite set of states

∑ refer a finite set which is called the input alphabet

Δ refer a finite set which is called the stack alphabet

δ refer a finite subset of , the transition relation.

q

_{0}refer the start stateZ

_{0}refer the initial stack symbolF refer the set of accepting states

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