100% satisfaction guarantee Immediately available after payment Both online and in PDF No strings attached
logo-home
Previously searched by you
Previously searched by you
logo
Lecture Notes on Equivalent Languages and Simulations (COMP11212) £3.49   Add to cart
Quickly navigate to
Preview
  2.  
  3. The University Of Manchester (UOM)
  4.  
  5. Fundamentals of Computation (COMP11212)

Lecture notes

Lecture Notes on Equivalent Languages and Simulations (COMP11212)
 5 views  0 purchase

Unlock the complexities of equivalent languages and simulations with these in-depth lecture notes for COMP11212. Discover how different computational languages can be equivalent and understand the concept of simulations between automata. Clear explanations and examples provide a solid foundation in...

[Show more]

Preview 1 out of 2  pages

Document information

  • May 30, 2024
  • 2
  • 2023/2024
  • Lecture notes
  • Francisco lobo
  • All classes

Subjects

Written for

All documents for this subject (6)

Seller

avatar-seller
jpxoi

Content preview

Equivalent Languages and Simulation

Simulations

Assumo two NFAs A = 1Q , g ., F, 5) and B (P , p ., E, Y) ↳ = he iff he a ha and he the
,



Definition We that relation simulation between automata A and B ↳ I he iff he n complement ((2) =
⑪
16 :
say a -
from Q to P is a




( (a) 0
*

if and only if ↳d La iff he n
- =




(E -4)
*

iff =
·
q ~p
. .

Lach Lan

·
if gup for some qeQ and peP then


ifa <q" then there exists pleP such that p
<p' and
q'up

qF implies pEE




=
Lxample
Al A B C D Give a simulation from A2 to A
a
b
, 2
> > > a ·

(2 A) ,



-f *
(y B) accepted by A2
a
·
, any words
will also be accepted by A1
·
(2 C) ,

#


Az X Y Z
a b
> 2 >
Give a simulation from Al to Az

There is no simulation
from As to A2




Further Examplo : DFA

Al A B D Simulation from As to A2 Simulation from A2 to A
b
T
a
(W , Al
a

(A w] start states start state
·
- 7 7 ·

,

*
I * A
& ·

(B x),
·
(X , B)
b

a ·

(C w),
·
(w c) ,




·
(D , Y)
·

(y D)
,

C
*


·
(D , 2)
·
(2 D)
,



B

Az w
# 2536
-



I A




b a b

-




...
W




2




Further Examplo : NFA
a



As a
*
Simulation from As to A2 Simulation from As to An
①
b
D
#
D ·
(A , A) Start state There is no simulation
A b B C
·

(B, Y)
·
(C 2)
,




Az ·
(A 2)
"
,




.... (C y)
·
D
,



N Y I




Conclusions
Two DFAs equivalent if simulation exists
are and only if a
·




Two NFAs equivalent if simulation exists. (it cannot exist they could still be equivalent )
·
are a and .

The benefits of buying summaries with Stuvia:

Guaranteed quality through customer reviews

Guaranteed quality through customer reviews

Stuvia customers have reviewed more than 700,000 summaries. This how you know that you are buying the best documents.

Quick and easy check-out

Quick and easy check-out

You can quickly pay through credit card for the summaries. There is no membership needed.

Focus on what matters

Focus on what matters

Your fellow students write the study notes themselves, which is why the documents are always reliable and up-to-date. This ensures you quickly get to the core!

Frequently asked questions

What do I get when I buy this document?

You get a PDF, available immediately after your purchase. The purchased document is accessible anytime, anywhere and indefinitely through your profile.

Satisfaction guarantee: how does it work?

Our satisfaction guarantee ensures that you always find a study document that suits you well. You fill out a form, and our customer service team takes care of the rest.

Who am I buying these notes from?

Stuvia is a marketplace, so you are not buying this document from us, but from seller jpxoi. Stuvia facilitates payment to the seller.

Will I be stuck with a subscription?

No, you only buy these notes for £3.49. You're not tied to anything after your purchase.

Can Stuvia be trusted?

4.6 stars on Google & Trustpilot (+1000 reviews)

76669 documents were sold in the last 30 days

Founded in 2010, the go-to place to buy revision notes and other study material for 14 years now

Start selling
£3.49
  • (0)
  Add to cart