Deterministic finite state automaton, Theory of Computation

Assignment Help:

De?nition Deterministic Finite State Automaton: For any state set Q and alphabet Σ, both ?nite, a ?nite state automaton (FSA) over Q

and

Σ is a ?ve-tuple (Q,Σ, T, q0, F), where:

• T ⊆ Q × Q × Σ,

• q0 ∈ Q is the initial state (also know as the start state) and

• F ⊆ Q is the set of accepting states (also spuriously known as ?nal states).

The FSA is deterministic (a DFA) if for all q ∈ Q and σ ∈ Σ, there is exactly one p ∈ Q such that (q, p, σ) ∈ T.

Each triple in T = hq, p, σi represents an edge from state q to p labeled σ in the transition graph. The state q0 is the initial state of the transition graph (marked by the "edge from nowhere") and the states in F are the states distinguished by being circled. An FSA is deterministic if there is never any choice of what the next state is, given the current state and input symbol and there is never no choice. In terms of the transition graph, this means that every node will have exactly one out-edge for each symbol of the alphabet.


Related Discussions:- Deterministic finite state automaton

Moore machine, Construct a Moore machine to convert a binary string of radi...

Construct a Moore machine to convert a binary string of radix 4.

Qbasic, Ask question #Minimum 100 words accepte

Ask question #Minimum 100 words accepte

Project, can you plz help with some project ideas relatede to DFA or NFA or...

can you plz help with some project ideas relatede to DFA or NFA or anything

Myhill graph of the automaton, Exercise:  Give a construction that converts...

Exercise:  Give a construction that converts a strictly 2-local automaton for a language L into one that recognizes the language L r . Justify the correctness of your construction.

Myhill-nerode theorem, This close relationship between the SL2 languages an...

This close relationship between the SL2 languages and the recognizable languages lets us use some of what we know about SL 2 to discover properties of the recognizable languages.

Design and implementation of the state machine, You are required to design ...

You are required to design a system that controls the speed of a fan's rotation. The speed at which the fan rotates is determined by the ambient temperature, i.e. as the temperatur

Powerset construction, As de?ned the powerset construction builds a DFA wit...

As de?ned the powerset construction builds a DFA with many states that can never be reached from Q′ 0 . Since they cannot be reached from Q′ 0 there is no path from Q′ 0 to a sta

Dfa to re, c program to convert dfa to re

c program to convert dfa to re

Reducibility among problems, A common approach in solving problems is to tr...

A common approach in solving problems is to transform them to different problems, solve the new ones, and derive the solutions for the original problems from those for the new ones

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd