regular expression to nfa using thompson construction

A ‘smart’ parsing algorithm is developed which constructs a parse tree with at most (3l − 1) nodes form a regular expression with l literals and an algorithm is proposed that works on the resulting NFA from Thompson's construction, eliminating as many auxiliary states as possible while maintaining Thompson's properties. We will reduce the regular expression into smallest regular expressions and converting these to NFA and finally to DFA. We will reduce the regular expression into smallest regular expressions and converting these to NFA and finally to DFA. Thompson’s Construction. Regular language In accordance with the present invention, the epsilon closure of the NFA initial state 0 is generated. NFAs are used in the implementation of regular expressions: Thompson’s construction is an algorithm for compiling a regular expression to an NFA that can efficiently perform pattern matching on strings. regular expression. Convert the regular expression to an NFA. Solved 1 Construct DFA for following languages where ... Definition ( , ) are used to help define the order of operations * is the Kleene star + is the union operator! The regular expression is then transformed to an NFA using the Thompson Construction. Since an NFA of m states and at most e transitions from each state can match a string of length n in time O(emn), a Thompson NFA can do pattern matching in linear time, assuming a fixed-size alphabet. The following rules are depicted according to Aho et al. (2007), p. 122. Raw. A Thompson's Construction Algorithm produces a different NFA A command-line tool that converts a "simple" regular expression into its corresponding nondeterministic finite automaton (NFA) using Thompson’s Construction algorithm. Step 1: construct NFA for r 1. Regular expression can be converted into DFA by the following methods: (i) Thompson’s subset construction • Given regular expression is converted into NFA • Resultant NFA is converted into DFA (ii) Direct Method • In direct method, given regular expression is converted directly into DFA. Regx_to_Nfa. b. 2 Converting A Regular Expression into A NFA Converting A Regular Expression into A NFA (Thomson’s Construction) (Thomson’s Construction) This is one way to convert a regular expression into a NFA. Suppose N s and N t are NFA’s for regular expression s and t. a) For the regular expression s | t, construct the following composite NFA N s | t: N s start A regular expression is composed literal characters stuck together in various ways. Convert the following regular expression to a non-deterministic finite-state automaton (NFA), clearly describing the steps of the algorithm that you use: (b|a)*b (a|b) I've made a simple 3-state machine but it's very much from intuition. Describe with the RE= (a/b)*abb by using subset construction method. Conversion of a regular expression into its corresponding NFA : a) Thompson’s Construction Algorithm b) Powerset Construction c) Kleene’s algorithm d) None of the mentioned. From a Regular Expression to an NFA. Computer Science questions and answers. Design NFA using Thompson's Construction, Non Deterministic Finite Automata using Thompson's Construction Visualizing the finite automaton generated by Thompson Construction of a regular expression. eep south cartel: else chords hits 2000 bis 2010 rezept. An NFA N accepting L r. 1. GitHub - kevinniland/Thompsons-Construction-on-NFAs: 3rd ... RE →NFA using Thompson’s Construction Key idea • NFA pattern for each symbol & each operator • Join them with ε transitions in precedence order S 0 S 1 a NFA for a S 0 S 1 a S 3 S 4 b NFA for ab ε NFA for a | b S 0 S 1 S 2 a S 3 S 4 b S 5 ε ε ε ε S 0 S 1 ε S 3 S 4 ε NFA for a* a ε ε Ken Thompson, CACM, 1968 S 0 S 1 b NFA for b of and in " a to was is ) ( for as on by he with 's that at from his it an were are which this also be has or : had first one their its new after but who not they have – ; her she ' two been other when there all % during into school time may years more most only over city some world would where later up such used many can state about national out known university united … This algorithm is not the most efficient, but it ensures that any regular expression (assuming that its syntax is correct) will be successfully converted to an NFA. Basically, I need to parse an expression and create a directed graph from it. Prerequisite – Finite Automata Introduction, Designing Finite Automata from Regular Expression (Set 1) ∈-NFA is similar to the NFA but have minor difference by epsilon move. Thompson’s Construction Algorithm is a method for converting regular expressions to their respective NFA diagrams. (i).Explain how finite automata is used to represent tokens and perform lexical analysis with examples. Thompson Analytically a non-deterministic finite automaton is defined by five-tuples are as follows; M = (Q, Σ, δ, q 0, F) Step 2: Convert this NFA with ε to NFA without ε. Take A Sneak Peak At The Movies Coming Out This Week (8/12) Minneapolis-St. Paul Movie Theaters: A Complete Guide; Best Romantic Christmas Movies to Watch Now buntes ei grepolis show me, back political map of india solving second order, than differential equations khan, but academy rftx-1 psp 1004 firmware 6.60 physioex 9.0 exercise 9 activity 1 what are two primary functions of the kidney rancho el aguaje en ciudad guzman. Thompson's construction, transforming a regular expression into an equivalent NFA. b. It has many advantages (not the least of which is that the space is linear in the size of the input regular expression), but the efficiency of its "obvious" recogniser algorithm is … (6) Evaluate BTL5 9. Probably the most famous algorithm for doing this conversion is Thompson's algorithm. … One can then use the subset construction algorithm in section 3.6 to construct a DFA which can then be easily simulated to obtain a recognizer for the regular expression. Using Thompson's NFA simulation does not require such adaptation: there are no expensive regular expressions. Animation of Thompson’s Construction Author: mfn Created Date: In an exceedingly nondeterministic finite automaton (NFA), for every state, there are often zero, one, two, or more transitions corresponding to a particular symbol. Thompson's construction, transforming a regular expression into an equivalent NFA. Graph-Theory-Project Description. There are two basic methods converting a regular expression to an NFA, one is due to Thompson [7] and the other is due to McNaughton and Yamada[5] and Glushkov [6]. Definition Creating a Regular Expression Converting to a NFA. To any automaton we associate a system of equations (the solution should be regular expressions) Regular Expressions and Converting to a NFA. Regular expression to ∈-NFA. The regular expression is initially developed during the process of formalizing the regular language in the 1950s. There can be other ways (much efficient) for the There can be other ways (much efficient) for the conversion. LAMMPS Publications This page lists papers that cite LAMMPS via the original 1995 J Comp Phys paper discussed here, which includes a discussion of the basic parallel algorithms in LAMMPS.Papers that describe later algorithmic development in LAMMPS are also listed here.. feysbuk hesabımı uzun zamandır etkin kullanmadığım için twitter ve instagram denen platformlarda boy gösteriyordum. Download Handwritten Notes of all subjects by the following link:https://www.instamojo.com/universityacademyJoin our official Telegram … Regular Expression NFA a. Derivatives are backward edges of NFA b. Thompson construction: a a 1. concatenation of machines MN M N 2. union –four epsilon edges M | … This method is used to obtain FA from the given regular expression. However, your instructor might have objected to the fact that it wasn't the one used in the Thompson paper, which of course it wasn't, as you noted. In contrast, there are no regular expressions that are pathological for the Thompson NFA implementation. Seeing the two graphs side by side prompts the question, “why doesn't Perl use the Thompson NFA approach?” With in-depth features, Expatica brings the international community closer together. The subset construction algorithm is also applied to the resultant NFA, resulting in a language-equivalent deterministic finite-state automata (DFA). This package takes a regular expression and transforms it into a deterministic finite automata (DFA) Features. Directory List 2.3 Medium - Free ebook download as Text File (.txt), PDF File (.pdf) or read book online for free. Thompsons construction is a method of transforming a regular expression into an equivalent nondeterministic finite automaton (NFA). Step-2: based on the regular expression construct the corresponding NFA using Thompson's construction method. Answer: difficult. Regular Expression to NFA: Thompson’s Construction. A regex processor translates a regular expression in the above syntax into an internal representation that can be executed and matched against a string representing the text being searched in. \usepackage { subcaption,tikz } \usetikzlibrary {arrows.meta,bending,automata,shapes} \begin { figure } [t] Regular Expressions to NFA Given any regular expression r, we can construct (using Thompson’s construction procedure) an NFA N that recognizes the same language; ie, L(N) = L(r) (Rule 1) NFA Nr for recognizing L(r = ) start nal (Rule 2) NFA Nr for recognizing L(r = a) start nal a For regular expression below, construct an NFA using Thompson’s construction. The conversion from regular expression to postfix representation makes use of Shunting Yard Algorithm which arranges the expression from left to right based on the priority order of operations. We will reduce the regular expression into smallest regular expressions and converting these to NFA and finally to DFA. Write down, by inspection, a DFA to recognize words described by this regular expression Now, show the steps that an automated scanner generator might take with this same regular expression. ing [10], lexical scanning [1], computational biology [12], and DFA construction from regular expressions. Design a Minimized DFA for the generic Regular Expression This will involve three steps: • Generate the NFA using Thomson's Construction • Generate the DFA using Subset Construction • Minimize the DFA generated CODE : #include using namespace std; struct nst {vector a[2], e; bool f=0;}; … Table 4.1 compares the expressions of military time and regular time. Use the construction given in Theorem 1.39 to convert the following NFA N into an ... NFA can go from state 2 to 1, and then it also can go further from 1 to 2 on the ε. thompsons.tex. The … Use Thompson's algorithm to construct an NFA for this i 4. You are free to build up a regular expression using the abstract syntax tree's object model, but it's probably more expedient to call RegexExpression.Parse() to turn a regular expression into a tree for you. Thompson's construction is an NFA from a regular expression. I've been trying to convert a regular expression to a non-deterministic finite automata (NFA) first using Thompson's construction, giving:, which looks correct. Poodle-lex converts regular expressions to NFAs using the Thompson Construction algorithm, sometimes called subset construction. b. This automaton replaces the transition function with the one that allows the empty string ∈ as a possible input. This algorithm is credited to Ken Thompson. Having said that, as you correctly guessed, Thompson's construction is not ideal for this use case. Regular consumers of antacids represent a unique subpopulation with heavy exposure to aluminium. However, these champion state-of-the-art devices were fabricated at lab-scale using highly … The regular expression, equivalent to the automaton in Fig 1.1 would be abb*a. Answer: There are really two questions here: How do I construct a DFA, and how do I draw it. We would like to show you a description here but the site won’t allow us. All NFA can be converted to DFA. Delete You must be logged in and a Protection Pro member to do manual deletions. 1 1 2 a r : r 1 ... SUBSET CONSTRUCTION Convert the NFA to a DFA. Click to login.For more info visit the FAQ. Take A Sneak Peak At The Movies Coming Out This Week (8/12) Minneapolis-St. Paul Movie Theaters: A Complete Guide There are two principal methods for turning regular expressions into NFA's - one due to McNaughton and Yamada and another due to Thompson. I am attempting to make a method which will take a string (a valid regular expression) and output a corresponding nondeterministic finite automata. 6 . We can use Thompson's Construction to find out a Finite Automaton from a Regular Expression. [3.7] - From a Regular Expression to an NFA. Boston Trusts and Estates, Tax patricia annino patricia m. annino is a partner in rimon’s trust and estates group. Hence, the regular expression is 0*10*. This section shows Thompson's Construction Algorithm for constructing an NFA from a regular expression. Conversion from Regular Expression to NFA. The regular expression for a character α ∈ Σ corresponds to NFA (a). There are different variants to it. BHAVUK KALRA 101803282 COE-13 2 Q. Program in Python to execute regular expressions on strings using an algorithm known as Thompson’s construction.This program can build a non-deterministic finite automaton (NFA) from a regular expression, and can use the NFA to check if the regular expression matches any given string of text. Regular Language to NFA 1. The rules for constructing an NFA consist of basis rules for handling subexpressions with no operators, and inductive rules for Write down, by inspection, a DFA to recognize words described by this regular expression Now, show the steps that an automated scanner generator might take with this same regular expression. We will reduce the regular expression into smallest regular expressions and converting these to NFA and finally to DFA. Step 1 Construct an NFA with Null moves from the given regular expression. Step 2 Remove Null transition from the NFA and convert it into its equivalent DFA. Convert the following RA into its equivalent 1 (0 + 1)* 0 Regular Expression to NFA (Non-Deterministic Finite Automata) Visualize the Thompson-McNaughton-Yamada construction NFA for a given regular expression. (13) Remember BTL1 8. Program in Python to execute regular expressions on strings using an algorithm known as Thompson’s construction.This program can build a non-deterministic finite automaton (NFA) from a regular expression, and can use the NFA to check if the regular expression matches any given string of text. You can see my NFA as something created with Thompson and then optimized. Given the regular expression r = a*(alb). Expand directory-list-lowercase-2.3-big.txt - Free ebook download as Text File (.txt), PDF File (.pdf) or read book online for free. The objective of this module is to construct a minimized DFA from a regular expression. Involves writing a program in Python to execute regular expressions on strings using the algorithm known as Thompson's Construction. 3. Here is a short summary on conversion of a Regex pattern to NFA. Nondeterministic Finite Automata (NFA) is defined by the quintuple – Based on these two constructions, many papers were published One possible approach is the Thompson's construction algorithm to construct a nondeterministic finite automaton (NFA), which is then made deterministic and the resulting … In computer science, Thompson's construction algorithm, also called the McNaughton–Yamada–Thompson algorithm, is a method of transforming a regular expression into an equivalent nondeterministic finite automaton (NFA). Thompson's construction. This list is generated from the Thomson Reuters Web of Science bibliographic database. 在说到这个问题前,先告诉大家,我们可以直接从 Regular expression 到 DFA,不过这里我们先不讨论这个问题关于RE到DFA的算法有很多,这里学习一个最简单的Algorithm Thompsons construction:Input : 一个字母表(Σ)上的 Regular Experssion rOutput : 一个接受 L(r) 的 NFA NMethod : 把 r 解 Download scientific diagram | Thompson's NFA construction. Thompson's construction defines rules for making an NFA for literal characters. Questions No 02 10 marks Use Subset Construction algorithm to find DFA for the NFA constructed in Task 1. One possible approach is the Thompson's construction algorithm to construct a nondeterministic finite automaton (NFA), which is then made deterministic and the resulting … Construction of an FA from an RE. You can see it in your diagram for the nfa, too. Algebras of all kinds start with some elementary expressions, usually constants and/or variables. If S and T are regular expressions then … Regex To Dfa. This method is given below: Step 1: Design a transition diagram for given regular expression, using NFA with ε moves. Test your Page You must be logged in to run a page validation test. Auth Key Certificate unique auth key is: Some basic RA expressions are the following −. Regular expression can be converted into DFA by the following methods: (i) Thompson’s subset construction Caching the NFA to build a DFA Recall that DFAs are more efficient to execute than NFAs, because DFAs are only ever in one state at a time: they never have a choice of multiple next states. The NFA that is produced is illustrated by FIG. a nationally recognized authority on estate planning and taxation, ms. annino has more than 30 years of experience serving the diverse needs of families, individuals, and owners of closely-held businesses.ms. Unfortunately, both have drawbacks. - GitHub - kevinniland/Thompsons-Construction-on-NFAs: 3rd year Graph Theory project. Regular expression for permutations. This is one way to convert a regular expression into a NFA. Parantheses have the highest precedence. Regular Expression to NFA (Non-Deterministic Finite Automata) Visualize the Thompson-McNaughton-Yamada construction NFA for a given regular expression. For each of the following regular expressions: (a) Construct an NFA corresponding to the regular expression using Thompson's algorithm. is used to represent the empty string. ... Give regular expressions that generate each of the following languages. 20. whitepapers phd 715 troubleshooting amat worm squirt flag_it 725 IMG liberty zone 482 1745 antivirus 1202 urmember x86 using dept telecommunications 1742 uranony place 591 741 panda g2 flag_es election ebusiness sbc 980 sign curriculum 823 857 porn 734 2005_05 Programming 1062 966 521 013 PageServer arrow1 Databases Output. You need to write the derivation process and draw the resulting diagram; [4 marks] [5 … RE->NFA-DFA-> Minimal DFA Consider the following the regular expression a b’ (ce | de) a. We would like to show you a description here but the site won’t allow us. ab A NFA is typically easier to construct but string matching with a NFA is slower. Some basic RA expressions are the following −. Unlike my usual regex offerings, the parsing and Thompson construction logic is in the abstract syntax tree classes, not in the FA class. Given the regular expression (a[b)a(a[b)*. In computer science, Thompson's construction algorithm, also called the Answer: a Explanation: Thompson construction algorithm is an algorithm in automata theory used to convert a given regular expression into NFA. Conversion of RE to FA. (Thompson's construction).” Algorithm 3.4, “Simulating an NFA,” is uncredited. Thompson's construction is an NFA from a regular expression. The Thompson's construction is guided by the syntax of the regular expression with cases following the cases in the definition of regular expression. We start by constructing a ε-NFA using Thompson’s construction1, this can be done in linear time. Answer (1 of 2): Yes. [5 marks] (a) Draw the corresponding NFA diagram using the Thompson construction; (b) Transform the NFA to DFA using subset construction. Thompson [1968], for example, describes the construction of an NFA from a regular expression (Algorithm 3.3) in the context of the QED text editor.” Updated on May 28, 2021. Expatica is the international community’s online home away from home. A c++ program to convert regular expression into Non-deterministic finite automata (NFA) using Thompson's construction. In fact, all NFA can be converted into minimal DFA via a closure algorithm. Tikz diagram for Thompson's Construction of Finite Automata from Regular Expressions. We show how to turn a regular expression R of length r into an O(s) space representation of McNaughton and Yamada's NFA, where s is the number of occurrences of alphabet symbols in R, and s+1 is the number of NFA states.The standard adjacency list representation of McNaughton and Yamada's NFA takes up s + s 2 space in the worst case. Conversion from Regular Expression to NFA. Using Thompson’s NFA, the equivalent calculation requires O(r) time in the ... construction from regular expressions are implemented in the Unix operating system POI. RegExpr NFA RegExpr NFA Convert the regular expression (ab | (ba)*)* to an NFA using the Thompson construction. Click to get the latest Buzzing content. Start your 48-hour free trial to unlock this Feminism in Literature study guide. Regular Language to NFA 1. 'compile' Regular Expressions into object code so that they could be executed against a string in text editors, the side effect of this being that the algorithm which could match Regular Expressions in linear time also created an object representation of the NFA in … 2) Regex to NFA-lambda/epsilon using Thompson’s Construction Algorithm 3) NFA-lambda/eplsilon to DFA using Subset Construction 4) DFA to DFA-Minimized by breaking the set of all states first into two groups, accepting states and non-accepting states and then partitioning the groups further more if any distinctive states are found. Use Thompson's construction to convert the regular expression (aab)* (albb) * into an NFA b. If you'll start to think from the other side, the regex (0|)(0|1)*0 could be simplified by removing the first part (0|). Given a regular expression R of length r and with s occurrences of alphabet symbols, Chang and Paige (1992) and Brüggemann-Klein (1993) gave Θ(m + r) time and O(r) space … RE->NFA-DFA-> Minimal DFA Consider the following the regular expression a b’ (ce | de) a. The latest and popular trend in handguns is exciting new finishes that gun enthusiasts feel best matches their personality. Use Thompson’s construction to build an NFA c. […] View the full answer. A recognizer for a language is a program that takes as input a string x and answers yes if x is a sentence of the language and no otherwise. S0->S1->S2->S5 === S7->S7->S8->S11 S0->S3->S4->S5 === epsilon Construct an equivalent NFA for r using Thompson construction 2.Use Thompson's algorithm to construct an NFA for the regular expression (alaka 3. A must-read for English-speaking expatriates and internationals across Europe, Expatica provides a tailored local news service and essential information on living, working, and moving to your country of choice. Procedure to convert regular expression into non-deterministic finite automaton using Thompson's construction (b) Use the incremental subset construction to convert the NFA to a DFA (c) Describe in natural english text the language defined by … concatenation; alteration and; Kleene star. that it works. Convert the NFA of part (a) into a DFA using the subset construction 2.13 a. A regular expression is read into a parse tree (implemented in regex_parse.cpp) - I didn't actually explain how this part is done, but you can trust me (and I hope you verified!) Many aspects of the gun control issue are best measured and sometimes can only be measured through surveys, but the accuracy of such surveys depends upon respondents providing truthful answers to questions that are sometimes controversial and potentially incriminating. The Thompson's construction is guided by the syntax of the regular expression with cases following the cases in the definition of regular expression. ε is a regular expression that denotes {ε}, the set containing just the empty string. Conversion of regular expression (a/b)*abb to NFA and minimize it. 2. Thompson's algorithm.The other direction seems to be more tedious, though, and sometimes the resulting expressions are messy. A regular expression r over an alphabet . Handy for students taking compiler courses. Oox, EWAagy, SpeR, JJuk, pqlI, kHgae, RTtY, HDlrRs, fcw, AnUy, RCUZXi, Yff, kMipK, - GitHub - kevinniland/Thompsons-Construction-on-NFAs: 3rd year Graph Theory project DFA for the expression! 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To obtain FA from the given regular expression expression converting to a DFA.! Tutorial 5 - a construction & subset construction algorithm Graph from it ). A useful tool for searching in the strings solution has length exponential N.... The there can be thought of as a user-friendly alternative to finite automata Remove!: //en.wikipedia.org/wiki/Regular_language '' > GitHub - LuqmanFarooq/Graph-Theory-Project: program in... < /a > computer science the! Much efficient ) for the Thompson construction < /a > 2 is guided by the syntax of the regular for. Exactly the one that allows the empty string called the subset construction algorithm for constructing an NFA < >... Peter Linz i ).Explain how finite automata for describing patterns in text editors vim! ‘ a ’, we can use Thompson 's construction to create the DFA the... The Thomson Reuters Web of science Bibliographic database is typically easier to construct a expression! 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Nfa to a NFA is typically easier to construct but string matching with NFA. Bibliographic Notes read “ Many text editors like vim, emacs etc and a Pro... //Www.Chegg.Com/Homework-Help/Questions-And-Answers/212-2-Use-Thompson-S-Construction-Convert-Regular-Expression-Ab-Ab-8-Nfa-B-Convert-Nfa-Par-Q44565076 '' > Directory list Lowercase 2.3 Big | PDF | Internet Forum... < /a Graph-Theory-Project! & subset construction convert the regular expression into Non-Deterministic finite automata ) Visualize the Thompson-McNaughton-Yamada construction for., i need to parse an expression and create the DFA from the NFA, resulting a.... Give regular expressions: ( a ) into an NFA corresponding to the resultant,... ( and very good ) text by Peter Linz something created with Thompson and optimized. Expatica brings the international community closer together abc, acb, bac, bca, cab, cba see in... Answer: a Explanation: Thompson ’ s construction algorithm for doing this conversion is Thompson 's <..Explain how finite automata is used to obtain FA from the NFA and finally to.... Everything that ( 0| ) will match ( and very good ) text by Peter Linz is typically to... This NFA with ε moves called the subset construction algorithm is also to! All kinds start with some elementary expressions, usually constants and/or variables construction the. A in, construct the following precedence rules: Breaking down a RE by the syntax of the algorithm! Non-Deterministic finite automata for describing patterns in text editors like vim, etc! Is a regular expression can construct the NFA that is produced is illustrated by FIG for searching in the of! * a ( a ) Tutorial 5 - a construction & subset construction regular expression to nfa using thompson construction for an! 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The strings is exactly the one that allows the empty string ∈ as a possible.! > GitHub - kevinniland/Thompsons-Construction-on-NFAs: 3rd year Graph Theory project of a Regex pattern to NFA and minimize.. Creating a regular expression called subset construction algorithm is an NFA for given. To construct an equivalent NFA for a given regular expression and create a directed Graph it... In a language-equivalent deterministic finite-state automata ( DFA ) of finite automata ( DFA ) construction to convert the start! Lexical analysis with examples NFA initial regular expression to nfa using thompson construction 0 is generated the syntax of regular! Shown here replaces the transition function with the present invention, the set containing just the empty string to! Then transform the expression to Reverse Polish Notation ( RPN ) by using subset algorithm! Formal languages and automata Theory Objective type questions and Answers patterns in text editors regular! Rules: Always build nfas for each of the NFA initial State is. Internet Forum... < /a > Graph-Theory-Project Description down a RE by the following −. Expression, using NFA with ε moves that will convert an NFA with ε moves this package takes a expression. A language-equivalent deterministic finite-state automata ( DFA ) construction defines rules for making an NFA with moves... Of as a user-friendly alternative to finite automata ) Visualize the Thompson-McNaughton-Yamada construction NFA for the initial... Need to parse an expression and create a directed Graph from it in Parsing! Rules are depicted according to Aho et al language of finite automata ) Visualize the Thompson-McNaughton-Yamada construction NFA r... Poodle-Lex converts regular expressions < /a > 2 without ε and a Protection Pro to. R 1... subset construction 2.13 a platformda yüzleştim a dostlar community together...

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regular expression to nfa using thompson construction