Predicate logic | Descriptive complexity

Fixed-point logic

In mathematical logic, fixed-point logics are extensions of classical predicate logic that have been introduced to express recursion. Their development has been motivated by descriptive complexity theory and their relationship to database query languages, in particular to Datalog. Least fixed-point logic was first studied systematically by Yiannis N. Moschovakis in 1974, and it was introduced to computer scientists in 1979, when Alfred Aho and Jeffrey Ullman suggested fixed-point logic as an expressive database query language. (Wikipedia).

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What is a fixed point?

In this video, I prove a very neat result about fixed points and give some cool applications. This is a must-see for calculus lovers, enjoy! Old Fixed Point Video: https://youtu.be/zEe5J3X6ISE Banach Fixed Point Theorem: https://youtu.be/9jL8iHw0ans Continuity Playlist: https://www.youtu

From playlist Calculus

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Fixed and Periodic Points | Nathan Dalaklis

Fixed Points and Periodic points are two mathematical objects that come up all over the place in Dynamical systems, Differential equations, and surprisingly in Topology as well. In these videos, I introduce the concepts of fixed points and periodic points and gradually build to a proof of

From playlist The New CHALKboard

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Fixed points and stability: one dimension

Shows how to determine the fixed points and their linear stability of a first-order nonlinear differential equation. Join me on Coursera: Matrix Algebra for Engineers: https://www.coursera.org/learn/matrix-algebra-engineers Differential Equations for Engineers: https://www.coursera.org

From playlist Differential Equations

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Logic for Programmers: Set Theory

Logic is the foundation of all computer programming. In this video you will learn about set theory. 🔗Homework: http://www.codingcommanders.com/logic.php 🎥Logic for Programmers Playlist: https://www.youtube.com/playlist?list=PLWKjhJtqVAbmqk3-E3MPFVoWMufdbR4qW 🔗Check out the Coding Comma

From playlist Logic for Programmers

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Paul Shafer:Reverse mathematics of Caristi's fixed point theorem and Ekeland's variational principle

The lecture was held within the framework of the Hausdorff Trimester Program: Types, Sets and Constructions. Abstract: Caristi's fixed point theorem is a fixed point theorem for functions that are controlled by continuous functions but are necessarily continuous themselves. Let a 'Caristi

From playlist Workshop: "Proofs and Computation"

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How to find + classify critical points of functions

Download the free PDF http://tinyurl.com/EngMathYT This video shows how to calculate and classify the critical points of functions of two variables. The ideas involve first and second order derivatives and are seen in university mathematics.

From playlist Several Variable Calculus / Vector Calculus

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Finding critical points of functions

Download the free PDF http://tinyurl.com/EngMathYT This is an example illustrating how to find and classify the critical points of functions of two variables. Such ideas rely on the second derivative test and are seen in university mathematics.

From playlist Several Variable Calculus / Vector Calculus

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Math 030 Calculus I 030415: Rigorous Definition of Derivative

Formal definition of differentiability at a point; definition of the derivative of a function; interpretation of differentiability at a point ("being line-like as one zooms in"); various notations for the derivative; differentiability implies continuity; examples of calculating the derivat

From playlist Course 2: Calculus I

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Nicole Schweikardt: Databases and descriptive complexity – lecture 1

Recording during the meeting "Spring school on Theoretical Computer Science (EPIT) - Databases, Logic and Automata " the April 11, 2019 at the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Guillaume Hennenfent Find this video and other talks given by wor

From playlist Numerical Analysis and Scientific Computing

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Fixed points and stability: two dimensions

Shows how to determine the fixed points and their linear stability of two-dimensional nonlinear differential equation. Join me on Coursera: Matrix Algebra for Engineers: https://www.coursera.org/learn/matrix-algebra-engineers Differential Equations for Engineers: https://www.coursera.o

From playlist Differential Equations

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“Choice Modeling and Assortment Optimization” - Session I - Prof. Huseyin Topaloglu

This module overviews static and dynamic assortment optimization problems. We start with an introduction to discrete choice modeling and discuss estimation issues when fitting a choice model to observed sales histories. Following this introduction, we discuss static and dynamic assortment

From playlist Thematic Program on Stochastic Modeling: A Focus on Pricing & Revenue Management​

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Nicole Schweikardt: Databases and descriptive complexity – lecture 2

Recording during the meeting "Spring school on Theoretical Computer Science (EPIT) - Databases, Logic and Automata " the April 11, 2019 at the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Guillaume Hennenfent Find this video and other talks given by wor

From playlist Numerical Analysis and Scientific Computing

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R - Data Screening 1 Accuracy Checks

Recorded: Fall 2015 Lecturer: Dr. Erin M. Buchanan This video covers how to check your data for accuracy errors and how to fix those errors using several different subsetting rules in R. Lecture materials and assignment available at statisticsofdoom.com. https://statisticsofdoom.com/page

From playlist Learn R + Statistics

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AQC 2016 - Boosting Quantum Annealer Performance via Quantum Persistence

A Google TechTalk, June 29, 2016, presented by Gili Rosenberg (1QBit) ABSTRACT: We propose a novel method for reducing the number of variables in quadratic unconstrained binary optimization problems, using a quantum annealer to fix the state of a large portion of the variables to values wi

From playlist Adiabatic Quantum Computing Conference 2016

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Wolfram Physics Project: Working Session Tuesday, Mar. 16, 2021 [Bibliographying Combinators]

This is a Wolfram Physics Project working session on bibliographying combinators. Begins at 4:33 Originally livestreamed at: https://twitch.tv/stephen_wolfram Stay up-to-date on this project by visiting our website: http://wolfr.am/physics Check out the announcement post: http://wolfr.am

From playlist Wolfram Physics Project Livestream Archive

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Scalable Privacy-Friendly Client Cloud Computing

Carl Hewitt, Emeritus in the Electrical Engineering and Computer Science department at MIT, talks about Organizations of Restricted Generality (ORGs). ORGs is an architecture providing foundations for the development of privacy-friendly Internet applications by incorporating cloud computin

From playlist Engineering

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Learning Logically Defined Hypotheses - Martin Grohe, RWTH Aachen University

I will introduce a declarative framework for machine learning where hypotheses are defined by formulas of a logic over some background structure. Within this framework, I will discuss positive as well as negative learnability results (in the "probably approximately correct" learning sense)

From playlist Logic and learning workshop

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Live CEOing Ep 401: Language Design in Wolfram Language [AxiomaticTheory, Echo, FoldWhile, & More]

In this episode of Live CEOing, Stephen Wolfram reviews the design of upcoming functionality for the Wolfram Language. If you'd like to contribute to the discussion in future episodes, you can participate through this YouTube channel or through the official Twitch channel of Stephen Wolfra

From playlist Behind the Scenes in Real-Life Software Design

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Embedded Recipes 2018 - SoC+FPGA support in 2018 - Marek Vasut

SoC+FPGA solutions are vital part of the embedded ecosystem and 2018 brought many improvements to their upstream support. At the beginning, Marek explains what SoC and FPGA systems are and how their combination on a single piece of silicon can be useful. This is followed by multiple impo

From playlist Embedded Recipes 2018

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Logic for Programmers: Propositional Logic

Logic is the foundation of all computer programming. In this video you will learn about propositional logic. 🔗Homework: http://www.codingcommanders.com/logic.php 🎥Logic for Programmers Playlist: https://www.youtube.com/playlist?list=PLWKjhJtqVAbmqk3-E3MPFVoWMufdbR4qW 🔗Check out the Cod

From playlist Logic for Programmers

Related pages

Signature (logic) | Datalog | AC (complexity) | Mathematical logic | Transitive closure | NL (complexity) | L (complexity) | P (complexity) | Second-order logic | Descriptive complexity theory | First-order logic | Arity | PSPACE