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Give a formal definition of a Push Down Automata(PDA)
1 Answer
written 6.9 years ago by |
A PDA is defined as a 7-tuple representation such as$(Q,є,δ,q_0,z_0,F,Γ)$
where
Q – Finite set of states
є- Input symbol
δ- Transition function
$q_0$- Initial state
$z_0$ – Bottom of the stack
F- Set of final states
Γ- Stack alphabet
PDA transitions are represented using the δ operator
Example:
For an input aabaa, the PDA is represented as
$δ(S,a,z_0) =(S,az_0)$
δ(S,a,a) =(S,aa)
δ(S,b,a) =(A)
δ(A,a,a) =(A, ε)
$δ(A, ε,z_0)=(C, ε)$