mirror of
https://github.com/ergochat/ergo.git
synced 2024-11-11 06:29:29 +01:00
123 lines
3.0 KiB
Markdown
123 lines
3.0 KiB
Markdown
ε-NFA: Epsilon-Nondeterministic finite automaton
|
|
==============
|
|
|
|
[](https://raw.githubusercontent.com/kkdai/e-nfa/master/LICENSE) [](https://godoc.org/github.com/kkdai/e-nfa) [](https://travis-ci.org/kkdai/e-nfa)
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
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:
|
|
|
|
|
|
|
|
|
|
|
|
```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.
|