Final answer:
All regular languages have three equivalent computational models: Deterministic Finite Automata (DFA), Regular Expressions, and Non-deterministic Finite Automata (NFA). These tools define and operate with regular languages, which are the simplest class of languages recognized by finite state machines.
Step-by-step explanation:
The question you've asked pertains to regular languages in the field of theoretical computer science, specifically automata theory, which is a subset of formal language theory. When discussing what all regular languages have, there are a set of three equivalent models that are fundamental to their definition and understanding. These are the Deterministic Finite Automata (DFA), Regular Expressions, and Non-deterministic Finite Automata (NFA). These three computational models are powerful tools for defining and operating with regular languages, which are the simplest class of languages in the Chomsky hierarchy.
Here's a brief explanation of each:
- DFA: A deterministic finite automaton consists of a finite number of states and transitions between those states that determine if a string is accepted by the automaton.
- Regular Expressions: A formal language of strings defined by a pattern which can be compiled into an NFA or DFA.
- NFA: A non-deterministic finite automaton is similar to a DFA, but it allows for multiple transitions for a given state and input, as well as transitions that do not consume any input (ε-transitions).
The correct answer to your question is (a) Deterministic Finite Automata, Regular Expressions, Non-deterministic Finite Automata.