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

Prism algorithm, what exactly is this and how is it implemented and how to ...

what exactly is this and how is it implemented and how to prove its correctness, completeness...

Operations on strictly local languages, The class of Strictly Local Languag...

The class of Strictly Local Languages (in general) is closed under • intersection but is not closed under • union • complement • concatenation • Kleene- and positive

Differentiate between dfa and nfa, Differentiate between DFA and NFA. Conve...

Differentiate between DFA and NFA. Convert the following Regular Expression into DFA. (0+1)*(01*+10*)*(0+1)*. Also write a regular grammar for this DFA.

Hhhhhhhhhhhhhhhhh, Ask question #hhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh...

Ask question #hhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhMinimum 100 words accepted#

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

Class of local languages is not closed under union, Both L 1 and L 2 are ...

Both L 1 and L 2 are SL 2 . (You should verify this by thinking about what the automata look like.) We claim that L 1 ∪ L 2 ∈ SL 2 . To see this, suppose, by way of con

TRANSPORTATION, DEGENERATE OF THE INITIAL SOLUTION

DEGENERATE OF THE INITIAL SOLUTION

Strictly local languages, While the SL 2 languages include some surprising...

While the SL 2 languages include some surprisingly complex languages, the strictly 2-local automata are, nevertheless, quite limited. In a strong sense, they are almost memoryless

Mapping reducibility, (c) Can you say that B is decidable? (d) If you someh...

(c) Can you say that B is decidable? (d) If you somehow know that A is decidable, what can you say about B?

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