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- FSM simulator
- Converting Regular Expression to NFA
- Regular Expression to NFA (Non-Deterministic Finite Automata)
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## FSM simulator

By using our site, you acknowledge that you have read and understand our Cookie PolicyPrivacy Policyand our Terms of Service. Stack Overflow for Teams is a private, secure spot for you and your coworkers to find and share information. But I was wondering if there is a algorithm to convert a NFA to regular expression. If there is, what is it? And if there isn't, I am also wondering if all NFA can convert to a regular expression. Is there a NFA that a regular expression that cannot represent? How are we doing? Please help us improve Stack Overflow. Take our short survey. Learn more. Asked 8 years, 2 months ago. Active 2 years, 6 months ago. Viewed 13k times. I knew that converting a regular expression to a NFA, there is a algorithm. Thank you! Tikhon Jelvis A regular expression can express any regular language, so there should exist at least one regular expression for each possible NFA. However, I don't know an algorithm for going from an NFA to a regular expression off the top of my head. Also, your timing is actually eerie--my friend asked me this exact same question in class today. See a variety of answers to your question here: cs. Active Oldest Votes. Link is dead for me. I found this link thought : courses. Sign up or log in Sign up using Google. Sign up using Facebook. Sign up using Email and Password. Post as a guest Name. Email Required, but never shown. The Overflow Blog. Q2 Community Roadmap. The Unfriendly Robot: Automatically flagging unwelcoming comments. Featured on Meta. Community and Moderator guidelines for escalating issues via new response….## Converting Regular Expression to NFA

By using our site, you acknowledge that you have read and understand our Cookie PolicyPrivacy Policyand our Terms of Service. Computer Science Stack Exchange is a question and answer site for students, researchers and practitioners of computer science. It only takes a minute to sign up. So I've been trying to crack this for a long time and almost feel like I am going in loops about this question. I understand that you would have the following for the first step adding empty states :. The next step would be removing the state [q1] I would get:. Finally removing [q2] would get:. A GNFA generalised nondeterministic finite automaton is described as follows:. When contructing a regular expression there is no unique correct answer. There are usually several expressions "that make sense". In this case you use state elimination method I learned this under the name of Brzozowski and McCluskey. Here the order of removal determines the expression found. You can also do "clever tricks" during the construction. Sign up to join this community. The best answers are voted up and rise to the top. Home Questions Tags Users Unanswered. Ask Question. Asked 6 years, 11 months ago. Active 4 years, 3 months ago. Viewed 17k times. A GNFA generalised nondeterministic finite automaton is described as follows: A GNFA is similar to an NFA but must obey certain rules: It has only one accept state The initial state has no transitions coming into it The accept state has no transitions coming out from it A transition can denote any regular expression, rather than just a symbol from the alphabet Note that a symbol is a kind of regular expression. Anish B Anish B 1 1 gold badge 2 2 silver badges 6 6 bronze badges. You should be able to figure out an English description of the accepted language just by looking at the DFA. I'm suggesting that you solve the problem from first principles, using your brain instead of the GNFA algorithm, and then check which of the two regular expressions are correct. Note: I did not write "which of the two regular expressions is correct. Active Oldest Votes. Hendrik Jan Hendrik Jan Sign up or log in Sign up using Google. Sign up using Facebook.

## Regular Expression to NFA (Non-Deterministic Finite Automata)

NFAs are useful to show regular languages are closed under the last three operations union, concatenation, star. A Generalized Nondeterministic Finite Automaton is similar to an NFA but the transition function takes a state and a regular expression in the alphabet instead of a state and an alphabet element. The idea is that in state q 0 the transition to state q 1 can be taken if the next input matches the regular expression Note that there is only one accept state. However, this is no real restriction for a nondetrministic automaton. On the other hand, the transition function is defined on a different arguments than is the case for an ordinary NFA. The definition of the language of a GNFA is technically different than that of an NFA because the transition function is defined differently. However, the idea is really similar, but extended to allow regular expressions on the transitions. Steps 1 and 2 require adding a new start state and a new accepting state. Step 3 require no changes in the diagram except labeling the transitions out of the new start state and into the new accepting state. There are 3 arrows coming into state q 1 from other states: q 0q 2and q 4. To show the first part, if we are given an DFA, we need to show that there is a regular expression that describes exactly the language of the DFA. The construction of the regular expression begins with the DFA and each step will eliminate one state of the DFA until the only state s remaining are the start state and a final state. To show that for any regular expression there is an NFA that recognizes the same language described by the regular expression, the proof describes a procedure for constructing the NFA from the regular expression. What is L3 o L4 concatenation? For example, to eliminate state q 1 in replace each existing path q to q 1 to q ' by a path from q to q ' Label the new path with a regular expression that describes the strings that would cause a transition from state q to q 1 to q ' There are 3 arrows coming into state q 1 from other states: q 0q 2and q 4. If state q 1 is removed, paths must be replaced by new transitions: q 0 to q 2 q 2 to q 2 q 4 to q 2. Eliminating q 1what regular expressions are needed? Convert this DFA to a regular expression that describes the same language. Parse the regular expression into its parts based on the regular expression operator precedence and parentheses used if any to determine the operands of each operator. For each of the operators use the construction described in showing the closure properties of regular languages to construct an NFA for each operator and its operands. See Lemma 1.

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GitHub is home to over 40 million developers working together to host and review code, manage projects, and build software together. If nothing happens, download GitHub Desktop and try again. If nothing happens, download Xcode and try again. If nothing happens, download the GitHub extension for Visual Studio and try again. Besides, dot script transition is provided so that you can make diagrams with Graphiz. You can use Viz. Skip to content. Dismiss Join GitHub today GitHub is home to over 40 million developers working together to host and review code, manage projects, and build software together. Sign up. JavaScript Makefile. JavaScript Branch: master. Find file. Sign in Sign up. Go back. Launching Xcode If nothing happens, download Xcode and try again. Latest commit. Latest commit ce May 8, Try it online! You signed in with another tab or window. Reload to refresh your session. You signed out in another tab or window. Add screenshot. Aug 31, Fix code style. Jun 1, Add testcase for the fix Sep 26, Update npm package. Bump v0. Fix typo in readme. May 7,

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