let l(d is a dfa that accepts sr whenever it accepts s show that l is turing decidable)
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CS5371 Theory of Computation
Ans. If a language L is decidable there exists a decider D that decides L. Then |
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Practice Problems for Final Exam: Solutions CS 341: Foundations of
If we run TM D on input ?D? then D accepts ?D? if and only if D doesn't If a language L is of Type DEC |
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Homework 9 Solutions
each terminal l ? ? the CFG G0 has a rule S ? lS in R. Also |
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CSCI 2670
4.4.1 Consider the following Turing machine Create a DFA B such that L(B) = ?* ... Furthermore M will accept those DFA's whose language is. |
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Homework 8 Solutions
If H rejects accept.” 2. Page 3. 4. Consider the emptiness problem for Turing machines: ETM = { ?M? |
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Sample Decidable/Undecidable proofs
Accept if T accepts reject if T rejects.” Proof #2: The following TM decides ALLDFA: S = “On input ?A? |
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Introduction to the theory of computation second edition
Show that if M is a DFA that recognizes language B |
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CSE 6321 - Solutions to Problem Set 2
Prove that C is Turing-recognizable iff a decidable language D exists such Let T = {?M? |
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CS 420 Spring 2019 Homework 10 Solutions 1. (a) REJECT TM is
(a) REJECTTM is defined as {?Mw? |
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Computer Science 313
Let L be the language such that every pair of adjacent 0's appear before A Turing machine M accepts an input w ? ?? if there is a sequence of states. |
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Solution - CS5371 Theory of Computation
An example of a DFA in S: A DFA that accepts all strings (b) Ans To show S is decidable we construct a decider D for S as follows (Let C be a TM |
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Practice Problems for Final Exam: Solutions CS 341
Turing-decidable language Answer: A language A that is decided by a Turing machine; i e there is a Turing machine M such that M halts and accepts on any |
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Homework 8 Solutions
Consider the decision problem of testing whether a DFA and a regular expression are equivalent Express this problem as a language and show that it is decidable |
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A is a DFA and L(A) = ? Want to show that
Construct a Turing machine T to show that S is decidable Let MR be the DFA that accepts the reverse of strings that are accepted by M Then L(MR) = L(M) |
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Sample Decidable/Undecidable proofs
Problem 4 3: Let ALLDFA = {?A? A is a DFA that recognizes ?*} Show that ALLDFA is decidable Proof #1: The following TM decides ALLDFA: S = “On input |
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CS 301 - Lecture 18 – Decidable languages
ADFA is decidable Theorem The language ADFA = {Bw B is a DFA that accepts the string w} is decidable Proof We want to build a TM M that decides ADFA: |
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Computer Science 313 - GitHub Pages
Theorem The set of regular languages is closed under the kleene star operation Proof Let L be a regular language We need to show that L |
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CSE 6321 - Solutions to Problem Set 2
Prove that C is Turing-recognizable iff a decidable language D exists such Let T = {?M?M is a TM that accepts wR whenever it accepts w}(wR is the |
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SU2022 COT4210 HW4 Key with Rubricpdf - 1A 10 Let = { D
Avis 50 |
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Introduction to the Theory of Computation 3rd ed
nor do they accept any liabilities with respect to the programs S = {a ? D P(a) = TRUE} or simply S if the domain D is obvious from the context |
How do you prove a DFA is decidable?
E(dfa) is a decidable language. Proof: A DFA accepts some string iff reaching an accept state from the start state by >traveling along the arrows of the DFA is possible. To test this condition, we can design a >TM T that uses a marking algorithm similar to that used in Example 3.23. T= "On input , where A is a DFA: 1.How do you show that a language is Turing-recognizable?
To prove that a given language is Turing-recognizable: Construct an algorithm that accepts exactly those strings that are in the language. It must either reject or loop on any string not in the language.What is the language accepted by a Turing machine explain your answer?
A language is recursively enumerable (generated by Type-0 grammar) if it is accepted by a Turing machine. A TM decides a language if it accepts it and enters into a rejecting state for any input not in the language. A language is recursive if it is decided by a Turing machine.- Sipser (Theorem 5.13) shows that ALLCFG is undecidable. Define CFG G0 = (V, ?, R, S), where V = {S} and S is the starting variable. For each terminal ? ? ?, the CFG G0 has a rule S ? ?S in R. Also, G0 includes the rule S ? ?.
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Homework 9 Solutions
Let R be a TM that decides EQCFG and construct TM S to decide ALLCFG Then S works in complement EQCFG is a Turing-recognizable language Now, Let STM = {〈M〉 M is a TM that accepts wR whenever it accepts w } Show that |
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Practice Problems for Final Exam: Solutions CS 341: Foundations of
Turing machine M such that M halts and accepts on any input w ∈ A, and M rejects or loops on First show C ∈ NP by giving a deterministic polynomial- time verifier for C (Alterna- (b) Give the transition functions δ of a DFA, NFA, PDA, Turing machine and Return tape head to left-hand end of tape, and go to stage 3 |
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Solution - CS5371 Theory of Computation
Let S = {〈M〉 M is a DFA that accepts w whenever it accepts the reverse of w} (b) Ans To show S is decidable, we construct a decider D for S as follows (Let |
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CSE 6321 - Solutions to Problem Set 2
Prove that C is Turing-recognizable iff a decidable language D exists such that Let T = {〈M〉M is a TM that accepts wR whenever it accepts w}(wR is the reverse of w) M accepts 〈M,w〉 ⇔ MT accepts 〈Mw〉 ⇔ M does not accept w ⇔ 〈M,w〉 ∈ ATM Therefore, T is unrecognizable 3 Let Show that M ∈ P |
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Design a DFA or NFA
This machine accepts a string at q3 after a single "c" following this conceptualization breaks down is when the string itself is either "bb" or "aa", which we will We show that the pumping lemma does not hold for this language that aw is in L Let C be a collection of languages over S* for some finite alphabet S Suppose |
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II Homework - UT Austin Computer Science
Let each point in S be represented as a pair of (x,y) coordinates where substituting a xR for sR (a) Show that L is regular by giving a dfa that accepts it We get a nondeterministic machine, as we generally do when we use the simple approach S will get us to one nonaccepting state (the old accepting state), and two |
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“CS 374” Fall 2014 — Homework 0
2 sept 2014 · Let #(a,w) denote the number of times symbol a appears in string w; (b) Describe a DFA that accepts the set of all strings composed algorithm in part (a ) does not produce an optimal solution when A binary-tree Turing machine uses an infinite binary tree as its tape; that S R := 〈M〉 M rejects 〈M〉 |
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Theory of Computation - Sariel Har-Peled
18 mai 2009 · 7 1 3 The construction of a DFA from an NFA 21 2 4 Formal definition of a Turing machine Here is a simple state machine (i e , finite automaton) M that accepts all For example, when our automaton above accepts the string aabb, is to show that three different ways of defining languages, that is |
