NPDA stands fora)Non-Deterministic Push Down Automatab)Null-Push Down ...
NPDA stands for non-deterministic push down automata whereas DPDA stands for deterministic push down automata.
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NPDA stands fora)Non-Deterministic Push Down Automatab)Null-Push Down ...
Answer:
Introduction
An NPDA (Non-Deterministic Push Down Automaton) is a type of automaton that can be used to recognize languages generated by context-free grammars. It is an extension of the PDA (Push Down Automaton) that allows for non-determinism in its transitions.
Non-Deterministic Push Down Automaton (NPDA)
A Non-Deterministic Push Down Automaton (NPDA) is a mathematical model that consists of the following components:
1. States: A set of states, including a start state and one or more final states.
2. Alphabet: A finite set of input symbols.
3. Stack Alphabet: A finite set of stack symbols.
4. Transition Function: A function that maps a state, an input symbol, and a stack symbol to a set of possible next states, stack symbols, and stack operations.
5. Stack: A stack used to store and manipulate symbols.
Non-Determinism in NPDA
The key difference between an NPDA and a regular PDA is the concept of non-determinism. In an NPDA, for a given state, input symbol, and stack symbol, the transition function may have multiple possible outcomes. This means that at any given point during the computation, the NPDA can have multiple choices for its next move.
Acceptance of Languages
An NPDA accepts a language if there exists at least one computation path that leads to a final state with an empty stack for every possible input string. This means that for a given input string, the NPDA can make non-deterministic choices during its computation and still reach an accepting state.
Option A: Non-Deterministic Push Down Automaton (NPDA)
The correct answer is option A, which states that NPDA stands for Non-Deterministic Push Down Automaton. This is because an NPDA is a specific type of automaton that allows for non-determinism in its transitions, making it more powerful than a regular PDA.
Conclusion
In conclusion, an NPDA (Non-Deterministic Push Down Automaton) is a mathematical model used to recognize languages generated by context-free grammars. It allows for non-determinism in its transitions, giving it more flexibility in its computation.
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