In automata theory, a finite-state machine is called a deterministic finite automaton (DFA), if * each of its transitions is uniquely determined by its source state and input symbol, and * reading an input symbol is required for each state transition. A nondeterministic finite automaton (NFA), or nondeterministic finite-state machine, does not need to obey these restrictions. In particular, every DFA is also an NFA. Sometimes the term NFA is used in a narrower sense, referring to an NFA that is not a DFA, but not in this article. Using the subset construction algorithm, each NFA can be translated to an equivalent DFA; i.e., a DFA recognizing the same formal language.Like DFAs, NFAs only recognize regular languages. NFAs were introduced in 1959 by Michael O. Rabin and Dana Scott, who also showed their equivalence to DFAs. 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. Conversely, Kleene's algorithm can be used to convert an NFA into a regular expression (whose size is generally exponential in the input automaton). NFAs have been generalized in multiple ways, e.g., , finite-state transducers, pushdown automata, alternating automata, ω-automata, and probabilistic automata.Besides the DFAs, other known special cases of NFAsare unambiguous finite automata (UFA)and self-verifying finite automata (SVFA). (Wikipedia).
Fundamentals of Mathematics - Lecture 33: Dedekind's Definition of Infinite Sets are FInite Sets
https://www.uvm.edu/~tdupuy/logic/Math52-Fall2017.html
From playlist Fundamentals of Mathematics
Emmanuel Filiot : Transductions - Partie 1
Résumé : Après une introduction générale présentant les principaux modèles et problèmes étudiés, nous étudierons plus précisément trois sujets qui permettront d’illustrer des propriétés algorithmiques, des aspects algébriques et logiques de cette théorie : - caractérisation, décision et mi
From playlist Logic and Foundations
The Complexity of the Non-commutative Determinant - Srikanth Srinivasan
The Complexity of the Non-commutative Determinant Srikanth Srinivasan Institute for Advanced Study October 11, 2010 I will talk about the computational complexity of computing the noncommutative determinant. In contrast to the case of commutative algebras, we know of (virtually) no efficie
From playlist Mathematics
02 8 - ISE2021 - Finite State Automata
Information Service Engineering 2021 Prof. Dr. Harald Sack Karlsruhe Institute of Technology Summer semester 2021 Lecture 4: Natural Language Processing - 3 2.8 Finite State Automata - Regular Expressions and regular languages - Finite State Automaton - Nondeterministic Finite State Auto
From playlist ISE 2021 - Lecture 04, 05.05.2021
A14 Nonhomegeneous linear systems solved by undetermined coefficients
There are two methods for solving nonhomogeneous systems. The first uses undetermined coefficients.
From playlist A Second Course in Differential Equations
Prove the Form of the General Solution to a Linear Second Order Nonhomogeneous DE
This video explains the form of the general solution to linear second order nonhomogeneous differential equations. Site: http://mathispower4u.com
From playlist Linear Second Order Nonhomogeneous Differential Equations: Method of Undetermined Coefficients
2. Nondeterminism, Closure Properties, Conversion of Regular Expressions to FA
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. Introduced nondeterministic finite aut
From playlist MIT 18.404J Theory of Computation, Fall 2020
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
Discrete Structures: Deterministic and Non-deterministic Finite State Automatons
Learn how to convert a non-deterministic finite state automaton to a deterministic one, both visually (with a state machine) and a table.
From playlist Discrete Structures
Theory of Computation 2. Closure and Nondeterminism ADUni
From playlist [Shai Simonson]Theory of Computation
Derive the Variation of Parameters Formula to Solve Linear Second Order Nonhomogeneous DEs
This video derives or proves the variation of parameters formula used to find a particular solution and solve linear second order nonhomogeneous differential equations. Site: http://mathispower4u.com
From playlist Linear Second Order Nonhomogeneous Differential Equations: Variation of Parameters
Nondeterministic Property Testing - Laszlo Lovasz
Laszlo Lovasz Eotvos Lorand University, Budapest; Member, School of Mathematics April 17, 2012 A property of finite graphs is called nondeterministically testable if it has a "certificate'' such that once the certificate is specified, its correctness can be verified by random local testing
From playlist Mathematics
Transforming an NFA into a DFA
Any non-deterministic finite state automaton (NFA) can be transformed into an equivalent deterministic finite state automaton (DFA). In this video we'll see how to make the transformation by systematically exploring an NFA.
From playlist Discrete Structures
6. TM Variants, Church-Turing Thesis
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 that various TM variants are al
From playlist MIT 18.404J Theory of Computation, Fall 2020
Differential Equations | Undetermined Coefficients for a System of DEs
We use the method of undetermined coefficients to solve a nonhomogeneous system of first order linear differential equations. http://www.michael-penn.net http://www.randolphcollege.edu/mathematics/
From playlist Systems of Differential Equations
The Curtis-Hedlund-Lyndon Theorem | Nathan Dalaklis | math academic talks
This is the second seminar talk that I have given as a math phd student. It is an expository academic talk that I gave as a Math PhD student during my second semester of my second year in my PhD program. The talk concerns the Factors of Symbolic Dynamical Systems and is focused on the Curt
From playlist Academic Talks
1. Introduction, Finite Automata, 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 Introduction; course outline, mechanics, and expectations. Described
From playlist MIT 18.404J Theory of Computation, Fall 2020
Differential Equations | Variation of Parameters for a System of DEs
We solve a nonhomogeneous system of linear differential equations using the method of variation of parameters. http://www.michael-penn.net http://www.randolphcollege.edu/mathematics/
From playlist Systems of Differential Equations
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