does that imply that a is a regular language? why or why not?
CSE105 Homework 3
Homework 3 Solutions Fall 2001 3 9 a Consider the language L={anbncn:n≥0} We already know that this is not a CFL by Example 2 20; hence the standard 1-PDA cannot accept L However a 2-PDA can accept L by storing a’s on one stack b’s on the other and then popping one a and one b for each remaining c of the input |
What is a regular expression?
A regular expression is one way to represent a regular language as a string. For example, the regular language described by the regular expression 0^* 1 \\big| 1^*0 0∗1∣∣1∗0 means strings that either contain any number of 0’s followed by a single 1 or any number of 1’s followed by a single 0.
What is a regular language?
A regular language is a language that can be expressed with a regular expression or a deterministic or non-deterministic finite automata or state machine. A language is a set of strings which are made up of characters from a specified alphabet, or set of symbols. Regular languages are a subset of the set of all strings.
How do you prove a language is not regular?
To prove that a language is not regular, one often uses the Myhill–Nerode theorem and the pumping lemma. Other approaches include using the closure properties of regular languages or quantifying Kolmogorov complexity.
What satisfies the equivalent properties of a regular language?
A regular language satisfies the following equivalent properties: it is the language of a regular expression (by the above definition) it is the language accepted by a nondeterministic finite automaton (NFA) [note 1] [note 2] it is the language accepted by a deterministic finite automaton (DFA) [note 3] [note 4]
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4.2 How to identify Regular Language? Example of Regular Language Theory of Computation TOC
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Regular Languages
![4.1 How to identify Regular Language? Testing whether a language is regular or not! TOC Automata 4.1 How to identify Regular Language? Testing whether a language is regular or not! TOC Automata](https://pdfprof.com/FR-Documents-PDF/Bigimages/OVP.oM_i00hgRzH0jML5-0p7aAHgFo/image.png)
4.1 How to identify Regular Language? Testing whether a language is regular or not! TOC Automata
Homework 10 Solutions
If A ?m B and B is a regular language does that imply that A is a regular language? Answer: No. Show that ATM is not mapping reducible to ETM. |
Solutions to Homework Assignment#8
Dec 4 2012 regular expression are equivalent) as the following language: ... Answer: If A ?m B and B is regular |
CSE105 Homework 3
We show that two stacks can simulate a TM an extra stack does not lead to a more If A ?m B and B is a regular language |
Assignment # 2
(a) If A ?m B and B is a regular language does that imply that A is a regular Unfortunately you will show that no virus checker can detect all viruses ... |
Practice Problems for Final Exam: Solutions CS 341: Foundations of
Answer: A language is regular if and only if it has a regular expression. Consider the language L = {?M? |
COMP481 Review Problems Turing Machines and (Un)Decidability
HP = {?Mw? |
Mapping Reductions
Not all mathematical functions can be computed If there is a mapping reduction from language ... This means that some TMs accept regular languages. |
Cse303 ELEMENTS OF THE THEORY OF COMPUTATION
E5 The language L4 = {an : n ? Prime} is not regular. We will prove it using Pumping Lemma Does it imply that both languages L1 L2 must be regular? |
Recitation 10
language then use it to give the state diagram of a DFA for the language given. then it would be accepted by M. So M' accept exactly those strings not ... |
Lecture 6: Closure properties
Feb 5 2009 Namely |
Homework 10 Solutions
If A ≤m B and B is a regular language, does that imply that A is a regular language? Answer: No Show that ATM is not mapping reducible to ETM In other |
Solutions to Homework Assignment#8
4 déc 2012 · Answer: If A ≤m B and B is regular, it does NOT necessarily imply that A is also regular This is because the reduction function can be more than the “power” of a DFA We reduce A to B = {11} using function f that is computed by the following algorithm M |
CSE105 Homework 3 - UCSD CSE
We show that two stacks can simulate a TM, an extra stack does not lead to a more If A ≤m B and B is a regular language, does that imply that A is a regular |
COMP481 Review Problems Turing Machines and - Computer
HP = {〈M,w〉M is a TM and it does not halt on string w} 2 If A ≤m B and B is a regular language, does that imply that A is a regular language? NO Take A |
Closure Properties of Regular Languages
last two initially Together with the commutative law we can take the union of any If the languages are not the same, than it is sufficient to provide one counterexample: a definition of what + means in regular expressions h(L(E)) = h(L(F) |
Cse303 ELEMENTS OF THE THEORY OF COMPUTATION
PART 4: Languages that are not Regular E5 The language L4 = {an : n ∈ Prime} is not regular Does it imply that both languages L1, L2 must be regular? |
Introduction to the Theory of Computing - University of Waterloo
27 jui 2017 · It is not right or wrong to make such a choice, it is only a definition mean In this course, lexicographic order means strings are ordered first by length, regular languages to mention at this point, but we will see plenty of |
One-Unambiguous Regular Languages - CORE
A regular language is a 1-unambiguous language if it is denoted by some 1- unambiguous languages, they do not preserve 1-unambiguity For example For all z # sym(E$) and x, y in follow(E$, z), x{ y implies x |
Decision problems and code picture languages regular chain - CORE
tures corresponding to a computation have some property if they do not have L such that “R c L? ” is undecidable for regular languages R as a contribution to classical formal By a picture we mean a finite set of such unit lines in the grid |
Fixed Point Languages, Equality Languages, and Representation of
Languages in EQ(DGSM) need not be star events One can easily see that every regular language is in EQ(DGSM): Simply consider all dgsm's which perform |