Formal languages | Lemmas | Finite automata
In the theory of formal languages, the pumping lemma for regular languages is a lemma that describes an essential property of all regular languages. Informally, it says that all sufficiently long strings in a regular language may be pumped—that is, have a middle section of the string repeated an arbitrary number of times—to produce a new string that is also part of the language. Specifically, the pumping lemma says that for any regular language there exists a constant such that any string in with length at least can be split into three substrings , and , such that the strings constructed by repeating zero or more times are still in . This process of repetition is known as "pumping". Moreover, the pumping lemma guarantees that the length of will be at most , imposing a limit on the ways in which may be split. Finite languages vacuously satisfy the pumping lemma by having equal to the maximum string length in plus one. The pumping lemma is useful for disproving the regularity of a specific language in question. It was first proven by Michael Rabin and Dana Scott in 1959, and rediscovered shortly after by Yehoshua Bar-Hillel, Micha A. Perles, and Eli Shamir in 1961, as a simplification of their pumping lemma for context-free languages. (Wikipedia).
Theory of Computation 9. More lemmas, CYK ADUni
From playlist [Shai Simonson]Theory of Computation
Theory of Computation Recitation 2
Theory of Computation Recitation 1 aduni
From playlist [Shai Simonson]Theory of Computation
3. Regular Pumping Lemma, Conversion of FA to Regular Expressions
MIT 18.404J Theory of Computation, Fall 2020 Instructor: Michael Sipser View the complete course: https://ocw.mit.edu/18-404JF20 YouTube Playlist: https://www.youtube.com/playlist?list=PLUl4u3cNGP60_JNv2MmK3wkOt9syvfQWY Quickly reviewed last lecture. Showed conversion of DFAs to regular e
From playlist MIT 18.404J Theory of Computation, Fall 2020
Theory of Computation 3. The Pumping Lemma ADUni
From playlist [Shai Simonson]Theory of Computation
Linear ODEs with Constant Coefficients: Classical Resonance
https://bit.ly/PavelPatreon https://lem.ma/LA - Linear Algebra on Lemma http://bit.ly/ITCYTNew - Dr. Grinfeld's Tensor Calculus textbook https://lem.ma/prep - Complete SAT Math Prep
From playlist Partial Differential Equations
Math 060 101317C Linear Transformations: Isomorphisms
Lemma: Linear transformations that agree on a basis are identical. Definition: one-to-one (injective). Examples and non-examples. Lemma: T is one-to-one iff its kernel is {0}. Definition: onto (surjective). Examples and non-examples. Definition: isomorphism; isomorphic. Theorem: T
From playlist Course 4: Linear Algebra (Fall 2017)
5. CF Pumping Lemma, Turing Machines
MIT 18.404J Theory of Computation, Fall 2020 Instructor: Michael Sipser View the complete course: https://ocw.mit.edu/18-404JF20 YouTube Playlist: https://www.youtube.com/playlist?list=PLUl4u3cNGP60_JNv2MmK3wkOt9syvfQWY Quickly reviewed last lecture. Proved the CFL pumping lemma as a tool
From playlist MIT 18.404J Theory of Computation, Fall 2020
Theory of Computation 8. CFGs and NPDMs ADUni
From playlist [Shai Simonson]Theory of Computation
NFA to regex: Theory of Computation (Feb 24 2021)
Converting a NFA to regular expression, plus some test review. This is a recording of a live class for Math 3342, Theory of Computation, an undergraduate course for math & computer science majors at Fairfield University, Spring 2021. Class website: http://cstaecker.fairfield.edu/~cstaeck
From playlist Math 3342 (Theory of Computation) Spring 2021
definition of derivative, hard example
definition of derivative, find the derivative of a function by using the definition, blackpenredpen.com math for fun, calculus homework help
From playlist Sect 2.8, Stewart Calculus 7th ed, video solutions to select
Context-free closure properties: Theory of Computation (Mar 24 2021)
This is a recording of a live class for Math 3342, Theory of Computation, an undergraduate course for math & computer science majors at Fairfield University, Spring 2021. Class website: http://cstaecker.fairfield.edu/~cstaecker/courses/2021s3342/
From playlist Math 3342 (Theory of Computation) Spring 2021
Computation Ep14, NFA to regex(Feb 16, 2022)
This is a recording of a live class for Math 3342, Theory of Computation, an undergraduate course for math and computer science majors at Fairfield University, Spring 2022. The course is about finite automata, Turing machines, and related topics. Homework and handouts at the class websi
From playlist Math 3342 (Theory of Computation) Spring 2022
Regularity lemma and its applications Part I - Fan Wei
Computer Science/Discrete Mathematics Seminar II Topic: Regularity lemma and its applications Part I Speaker: Fan Wei Affiliation: Member, School of Mathematics Dater: December 3, 2019 For more video please visit http://video.ias.edu
From playlist Mathematics
Partial Derivatives and the Gradient of a Function
We've introduced the differential operator before, during a few of our calculus lessons. But now we will be using this operator more and more over the prime symbol we are used to when describing differentiation, as from now on we will frequently be differentiating with respect to a specifi
From playlist Mathematics (All Of It)
Diego Figueira: Semistructured data, Logic, and Automata – lecture 1
Semistructured data is an umbrella term encompassing data models which are not logically organized in tables (i.e., the relational data model) but rather in hierarchical structures using markers such as tags to separate semantic elements and data fields in a ‘self-describing’ way. In this
From playlist Logic and Foundations