Contents
We have seen an example of use of finite automata in describing the operation of a simplified version of vending machine. Many other systems operating in practice can also be modeled by finite automata such as control circuits of computers, computer network communication protocols, lexical analysers for compilers etc. Many of those systems fall into the class of systems called reactive system. A reactive system is a system that changes its actions, outputs and conditions/status in response to stimuli from within or outside it. It is an event driven or control driven system continuously having to react to external and/or internal stimuli. The inputs for a reactive system are never ready unlike for example when two numbers are added together by an adder (Here we are considering an adder at a higher level of abstraction than physical devices level ignoring for example the transient states of the electronic circuit that realizes an adder). An adder does not respond unless the input i.e. two numbers to be added are ready. A system such as an adder is called a transformational system. In the case of vending machine or communication protocol, on the other hand, a system must respond to each stimulus, even to a fragment of input such as each coin tossed in for a can of soda or every message received.

It is generally agreed that finite automata are a natural medium to describe dynamic behaviors of reactive systems. Finite automata are formal and rigorous and computer programs can be easily written to simulate their behaviors. To model a reactive system with finite automaton, first the states the system goes in or the modes of its operation are identified. These become the states of the finite automaton that models it. Then the transitions between the states triggered by events and conditions, external or internal to the system, are identified and they become arcs in the transition diagram of the finite automaton. In addition actions that may take place in...

...Lesson 3 FiniteAutomata with Output
Three types of automata are studied in Formal Language Theory. *
Acceptor
The symbols of the sequence
s(1) s(2) … s(i) … s(t)
are presented sequentially to a machine M. M responds with a binary signal to each input. If the string scanned so far is accepted, then the light goes on, else the light is off.
A language acceptor
* Lesson 3 employs the treatment of this subject...

...C
H
A
P
T
E
R
Finite-State Machines and Pushdown Automata
The ﬁnite-state machine (FSM) and the pushdown automaton (PDA) enjoy a special place in computer science. The FSM has proven to be a very useful model for many practical tasks and deserves to be among the tools of every practicing computer scientist. Many simple tasks, such as interpreting the commands typed into a keyboard or running a calculator, can be modeled by...

... Finiteautomata
Regular expression
Pushdown automata
Engineering applications of finiteautomata
The study of automata has been acquiring increasing importance for engineers in many fields. For some time, the capabilities of these automata have been of the greatest interest to logicians and mathematicians. However, the expanding...

...have,
=
= {e} {a, ab} {aa, aab, aba, abab} …
=
= {a, ab} {aa, aab, aba, abab} …
Note : e is in , for every language L, including .
The previously introduced definition of is an instance of Kleene star.
Automata and Grammars
Automata
An automata is an abstract computing device (or machine). There are different varities of such abstract machines (also called models of computation) which can be defined mathematically. Some...

...1
Equivalence of FiniteAutomata and Regular Expressions
FiniteAutomata Recognize Regular Languages Theorem 1. L is a regular language iﬀ there is a regular expression R such that L(R) = L iﬀ there is a DFA M such that L(M ) = L iﬀ there is a NFA N such that L(N ) = L. i.e., regular expressions, DFAs and NFAs have the same computational power. Proof. • Given regular expression R, will construct NFA N such that L(N ) = L(R)
•...

...Practice Sheet 1
1. The language L = {w|w has exactly two 0’s and at least two 1’s } is the intersection
of two simpler languages. Construct DFA’s for the simpler languages and then combine them using the idea of a product automaton to obtain a DFA that accepts L.
Minimize this DFA, using the minimization algorithm, using the algorithm explained
in the class.
Soln: Similar to Problem 2.
2. The language L = {w|w has even length and an odd number of 0’s } is the intersection of two...

...Lyceum of the Philippines University-Batangas
Capitol Site, Batangas City
School of Advanced Studies and Research
SUBJECT: Enrollment System
TOPIC: Problems met by the CITHM Students in the Sectioning and Encoding process during enrollment period
DISCUSSANTS: Patricia Isabel P. Maghirang
Joy S. Macatangay
PROFESSOR: Mrs. Jessica Cabaces
I. INTRODUCTION
This research activity focused on the slow processing of transactions in enrollment period, to know the problems, to...

...another similar word processor, then copy and paste it here. Please use the "Paste from MS Word" icon for this.
This application will time out after 45 minutes without use. Please note that if you do time out, your information will not be saved. We recommend that you log out, complete your question(s), then log back in to the system to add the information and complete your application.
Personal Essay
* Answer Required
Use the space below to compose an...

702 Words |
3 Pages

Share this Document

{"hostname":"studymode.com","essaysImgCdnUrl":"\/\/images-study.netdna-ssl.com\/pi\/","useDefaultThumbs":true,"defaultThumbImgs":["\/\/stm-study.netdna-ssl.com\/stm\/images\/placeholders\/default_paper_1.png","\/\/stm-study.netdna-ssl.com\/stm\/images\/placeholders\/default_paper_2.png","\/\/stm-study.netdna-ssl.com\/stm\/images\/placeholders\/default_paper_3.png","\/\/stm-study.netdna-ssl.com\/stm\/images\/placeholders\/default_paper_4.png","\/\/stm-study.netdna-ssl.com\/stm\/images\/placeholders\/default_paper_5.png"],"thumb_default_size":"160x220","thumb_ac_size":"80x110","isPayOrJoin":false,"essayUpload":false,"site_id":1,"autoComplete":false,"isPremiumCountry":false,"userCountryCode":"US","logPixelPath":"\/\/www.smhpix.com\/pixel.gif","tracking_url":"\/\/www.smhpix.com\/pixel.gif","cookies":{"unlimitedBanner":"off"},"essay":{"essayId":36981814,"categoryName":"Industries","categoryParentId":"3","currentPage":1,"format":"text","pageMeta":{"text":{"startPage":1,"endPage":3,"pageRange":"1-3","totalPages":3}},"access":"premium","title":"Application of Finite Automata -Djr","additionalIds":[9,108,5,17],"additional":["Entertainment","Entertainment\/Music","Computer Science","Literature"],"loadedPages":{"html":[],"text":[1,2,3]}},"user":null,"canonicalUrl":"http:\/\/www.studymode.com\/essays\/Application-Of-Finite-Automata-Djr-1402263.html","pagesPerLoad":50,"userType":"member_guest","ct":10,"ndocs":"1,500,000","pdocs":"6,000","cc":"10_PERCENT_1MO_AND_6MO","signUpUrl":"https:\/\/www.studymode.com\/signup\/","joinUrl":"https:\/\/www.studymode.com\/join","payPlanUrl":"\/checkout\/pay","upgradeUrl":"\/checkout\/upgrade","freeTrialUrl":"https:\/\/www.studymode.com\/signup\/?redirectUrl=https%3A%2F%2Fwww.studymode.com%2Fcheckout%2Fpay%2Ffree-trial\u0026bypassPaymentPage=1","showModal":"get-access","showModalUrl":"https:\/\/www.studymode.com\/signup\/?redirectUrl=https%3A%2F%2Fwww.studymode.com%2Fjoin","joinFreeUrl":"\/essays\/?newuser=1","siteId":1,"facebook":{"clientId":"306058689489023","version":"v2.8","language":"en_US"},"analytics":{"googleId":"UA-32718321-1"}}