ergo/vendor/github.com/goshuirc/e-nfa/README.md

123 lines
3.0 KiB
Markdown

ε-NFA: Epsilon-Nondeterministic finite automaton
==============
[![GitHub license](https://img.shields.io/badge/license-MIT-blue.svg)](https://raw.githubusercontent.com/kkdai/e-nfa/master/LICENSE) [![GoDoc](https://godoc.org/github.com/kkdai/e-nfa?status.svg)](https://godoc.org/github.com/kkdai/e-nfa) [![Build Status](https://travis-ci.org/kkdai/e-nfa.svg?branch=master)](https://travis-ci.org/kkdai/e-nfa)
![image](https://upload.wikimedia.org/wikipedia/commons/thumb/0/0e/NFAexample.svg/250px-NFAexample.svg.png)
What is Epsilon-Nondeterministic finite automaton
=============
`ε-NFA`: Epsilon-Nondeterministic finite automaton (so call:Nondeterministic finite automaton with ε-moves)
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.
(sited from [here](https://en.wikipedia.org/wiki/Nondeterministic_finite_automaton))
Looking for DFA implement?
=============
I also write a DFA implenent in Go here. [https://github.com/kkdai/dfa](https://github.com/kkdai/dfa)
Looking for NFA implement?
=============
I also write a NFA implenent in Go here. [https://github.com/kkdai/nfa](https://github.com/kkdai/nfa)
Installation and Usage
=============
Install
---------------
go get github.com/kkdai/e-nfa
Usage
---------------
Following is sample code to implement a epsilon-NFA automata diagram as follow:
![image](image/eNFA.png)
```go
package main
import (
"github.com/kkdai/enfa"
"fmt"
)
func main() {
nfa := NewENFA(0, false)
nfa.AddState(1, false)
nfa.AddState(2, false)
nfa.AddState(3, true)
nfa.AddState(4, false)
nfa.AddState(5, false)
nfa.AddTransition(0, "1", 1)
nfa.AddTransition(0, "0", 4)
nfa.AddTransition(1, "1", 2)
nfa.AddTransition(1, "", 3) //epsilon
nfa.AddTransition(2, "1", 3)
nfa.AddTransition(4, "0", 5)
nfa.AddTransition(4, "", 1, 2) //E -> epsilon B C
nfa.AddTransition(5, "0", 3)
nfa.PrintTransitionTable()
if !nfa.VerifyInputs([]string{"1"}) {
fmt.Printf("Verify inputs is failed")
}
nfa.Reset()
if !nfa.VerifyInputs([]string{"1", "1", "1"}) {
fmt.Printf("Verify inputs is failed")
}
nfa.Reset()
if !nfa.VerifyInputs([]string{"0", "1"}) {
fmt.Printf"Verify inputs is failed")
}
nfa.Reset()
if !nfa.VerifyInputs([]string{"0", "0", "0"}) {
fmt.Printf("Verify inputs is failed")
}
}
```
Inspired By
=============
- [ε-NFA: Wiki](https://en.wikipedia.org/wiki/Nondeterministic_finite_automaton_with_%CE%B5-moves)
- [Coursera: Automata](https://class.coursera.org/automata-004/)
Project52
---------------
It is one of my [project 52](https://github.com/kkdai/project52).
License
---------------
This package is licensed under MIT license. See LICENSE for details.