I would guess that is because it has a finite number of different states. (It is also known as a finite-state machine.)
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finite automaton is the graphical representation of language and regular grammar is the representation of language in expressions
A Buchi automaton is a regular automaton but reads infinite words instead of finite words. A word is defined to be in the language of the automaton iff a run of the automaton on it visits inifinitly many times in the group of final states (or receiving states).
This is called a discrete set (all points isolated) or a finite set. Finite sets are always discrete.
It is a finite number.It is a finite number.It is a finite number.It is a finite number.
There are a finite number of apartments. Finite numbers may be large or small. There are a finite number of states. The number of molds in my fridge is not exactly finite.
finite automata
finite automaton is the graphical representation of language and regular grammar is the representation of language in expressions
The state machine described in the previous section is a deterministic finite automaton, in which each state is unique. What would make a finite automaton nondeterministic is if each state was not. For the example, if the state machine allowed the input to have any letter as the second letter for the word "person" to transition to the next, then the next state would not be unique, making it a nondeterministic finite automaton.
Finite Automata and Regular Expressions are equivalent. Any language that can be represented with a regular expression can be accepted by some finite automaton, and any language accepted by some finite automaton can be represented by a regular expression.
A Buchi automaton is a regular automaton but reads infinite words instead of finite words. A word is defined to be in the language of the automaton iff a run of the automaton on it visits inifinitly many times in the group of final states (or receiving states).
NFA - Non-deterministic Finite Automaton, aka NFSM (Non-deterministic Finite State Machine)
A biautomaton is a finite automaton which arbitrarily alternates between reading the input from the left and from the right.
A deterministic finite automaton will have a single possible output for a given input. The answer is deterministic because you can always tell what the output will be. A nondeterministic finite automaton will have at least one input which will cause a "choice" to be made during a state transition. Unlike a DFA, one input can cause multiple outputs for a given NFA.
To convert a deterministic finite automaton (DFA) to a pushdown automaton (PDA), you need to add a stack to keep track of the state transitions. The PDA uses the stack to store and retrieve symbols, allowing for more complex computations than a DFA. This conversion involves modifying the transition functions and adding stack operations to handle the additional complexity of the PDA.
Yes, a DFA (Deterministic Finite Automaton) can be constructed to accept the specified language.
The DFA for the empty set in automata theory is significant because it represents a finite automaton that cannot accept any input strings. This helps in understanding the concept of unreachable states and the importance of having at least one accepting state in a deterministic finite automaton.
To convert a deterministic finite automaton (DFA) to a regular expression, you can use the state elimination method. This involves eliminating states one by one until only the start and accept states remain, and then combining the transitions to form a regular expression that represents the language accepted by the DFA.