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123 lines
3.0 KiB
Markdown
123 lines
3.0 KiB
Markdown
ε-NFA: Epsilon-Nondeterministic finite automaton
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==============
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[](https://raw.githubusercontent.com/kkdai/e-nfa/master/LICENSE) [](https://godoc.org/github.com/kkdai/e-nfa) [](https://travis-ci.org/kkdai/e-nfa)
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What is Epsilon-Nondeterministic finite automaton
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=============
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`ε-NFA`: Epsilon-Nondeterministic finite automaton (so call:Nondeterministic finite automaton with ε-moves)
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In the automata theory, a nondeterministic finite automaton with ε-moves (NFA-ε)(also known as NFA-λ) is an extension of nondeterministic finite automaton(NFA), which allows a transformation to a new state without consuming any input symbols. The transitions without consuming an input symbol are called ε-transitions or λ-transitions. In the state diagrams, they are usually labeled with the Greek letter ε or λ.
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(sited from [here](https://en.wikipedia.org/wiki/Nondeterministic_finite_automaton))
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Looking for DFA implement?
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=============
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I also write a DFA implenent in Go here. [https://github.com/kkdai/dfa](https://github.com/kkdai/dfa)
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Looking for NFA implement?
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=============
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I also write a NFA implenent in Go here. [https://github.com/kkdai/nfa](https://github.com/kkdai/nfa)
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Installation and Usage
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=============
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Install
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---------------
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go get github.com/kkdai/e-nfa
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Usage
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---------------
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Following is sample code to implement a epsilon-NFA automata diagram as follow:
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```go
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package main
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import (
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"github.com/kkdai/enfa"
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"fmt"
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)
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func main() {
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nfa := NewENFA(0, false)
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nfa.AddState(1, false)
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nfa.AddState(2, false)
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nfa.AddState(3, true)
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nfa.AddState(4, false)
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nfa.AddState(5, false)
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nfa.AddTransition(0, "1", 1)
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nfa.AddTransition(0, "0", 4)
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nfa.AddTransition(1, "1", 2)
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nfa.AddTransition(1, "", 3) //epsilon
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nfa.AddTransition(2, "1", 3)
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nfa.AddTransition(4, "0", 5)
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nfa.AddTransition(4, "", 1, 2) //E -> epsilon B C
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nfa.AddTransition(5, "0", 3)
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nfa.PrintTransitionTable()
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if !nfa.VerifyInputs([]string{"1"}) {
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fmt.Printf("Verify inputs is failed")
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}
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nfa.Reset()
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if !nfa.VerifyInputs([]string{"1", "1", "1"}) {
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fmt.Printf("Verify inputs is failed")
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}
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nfa.Reset()
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if !nfa.VerifyInputs([]string{"0", "1"}) {
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fmt.Printf"Verify inputs is failed")
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}
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nfa.Reset()
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if !nfa.VerifyInputs([]string{"0", "0", "0"}) {
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fmt.Printf("Verify inputs is failed")
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}
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}
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```
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Inspired By
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=============
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- [ε-NFA: Wiki](https://en.wikipedia.org/wiki/Nondeterministic_finite_automaton_with_%CE%B5-moves)
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- [Coursera: Automata](https://class.coursera.org/automata-004/)
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Project52
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---------------
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It is one of my [project 52](https://github.com/kkdai/project52).
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License
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---------------
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This package is licensed under MIT license. See LICENSE for details.
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