Logical calculi | Rules of inference

Cut rule

In mathematical logic, the cut rule is an inference rule of sequent calculus. It is a generalisation of the classical modus ponens inference rule. Its meaning is that, if a formula A appears as a conclusion in one proof and a hypothesis in another, then another proof in which the formula A does not appear can be deduced. In the particular case of the modus ponens, for example occurrences of man are eliminated of Every man is mortal, Socrates is a man to deduce Socrates is mortal. (Wikipedia).

Video thumbnail

Graph Theory: 53. Cut-Vertices

Here we introduce the term cut-vertex and show a few examples where we find the cut-vertices of graphs. We then go through a proof of a characterisation of cut-vertices: a vertex v is a cut-vertex if and only if there exist vertices u and w (distinct from v) such that v lies on every u-w

From playlist Graph Theory part-9

Video thumbnail

Cutting Metal Pieces in Graph Theory

Applying the onion skin algorithm to create an Eulerian Circuit and cut metal into a specified number of pieces

From playlist Graph Theory

Video thumbnail

Calculus 2.2c - Limits with Piecewise Functions

Evaluating limits for piecewise functions, with particular attention paid to the points where the definition of the function changes.

From playlist Calculus Chapter 2: Limits (Complete chapter)

Video thumbnail

Vertex Cuts in Graphs (and a bit on Connectivity) | Graph Theory, Vertex-Connectivity

What is a vertex cut of a graph? And how can we use vertex cuts to describe how connected a graph is? We have discussed cut vertices and connected graphs before, but by tying them together in a way, we are able to characterize different levels of connectivity in graphs. The focus of this l

From playlist Graph Theory

Video thumbnail

Calculus 2.2a - A Graphical Look at Limits

An explanation of the concept of a limit, by looking at the graph of a function.

From playlist Calculus Chapter 2: Limits (Complete chapter)

Video thumbnail

14. Adding and Cutting Mechanics

MIT CMS.608 Game Design, Spring 2014 Instructor: Philip Tan, MIT Students View the complete course: https://ocw.mit.edu/CMS-608S14 YouTube Playlist: https://www.youtube.com/playlist?list=PLUl4u3cNGP63YWzCDORR965yCmHiCKF9Z Overview of the process of deciding which mechanics to add and cut,

From playlist MIT CMS.608 Game Design, Spring 2014

Video thumbnail

Dale Miller: Focused proof systems

HYBRID EVENT Recorded during the meeting Linear Logic Winter School" the January 28, 2022 by the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Guillaume Hennenfent Find this video and other talks given by worldwide mathematicians on CIRM's Audiovisual

From playlist Logic and Foundations

Video thumbnail

CMPSC/Math 451: Feb. 23, 2015. Adaptive Simpson's Rule. Wen Shen

Wen Shen, Penn State University. Lectures are based on my book: "An Introduction to Numerical Computation", published by World Scientific, 2016. See promo video: https://youtu.be/MgS33HcgA_I

From playlist Numerical Computation spring 2015. Wen Shen. Penn State University.

Video thumbnail

Edge Cuts and Edge Connectivity | Graph Theory

Edge cuts, minimum edge cuts, minimal edge cuts, and edge connectivity are all introduced in today's graph theory lesson! Edge cuts are similar to vertex cuts but, of course, with edges! An edge cut of a nontrivial graph G is a set, X, of edges of G, such that G-X is disconnected. The car

From playlist Graph Theory

Video thumbnail

Eureka Math Grade 5 Module 6 Lesson 11

EngageNY/Eureka Math Grade 5 Module 6 Lesson 11 For more videos, please visit http://bit.ly/eurekapusd PLEASE leave a message if a video has a technical difficulty (audio separating from the video). Occasionally, Explain Everything will do that, requiring me to re-render the video. Duane

From playlist Eureka Math Grade 5 Module 6

Video thumbnail

Determining Limits

http://mathispower4u.wordpress.com/

From playlist Limits

Video thumbnail

How difficult is it to certify that a random 3SAT formula is unsatisfiable? - Toniann Pitassi

Computer Science/Discrete Mathematics Seminar II Topic: How difficult is it to certify that a random 3SAT formula is unsatisfiable? Speaker: Toniann Pitassi Affiliation: Member, School of Mathematics Date: April 06, 2021 For more video please visit http://video.ias.edu

From playlist Mathematics

Video thumbnail

ch4 7: Recursive trapezoid; composite schemes. Wen Shen

Wen Shen, Penn State University. Lectures are based on my book: "An Introduction to Numerical Computation", published by World Scientific, 2016. See promo video: https://youtu.be/MgS33HcgA_I

From playlist CMPSC/MATH 451 Videos. Wen Shen, Penn State University

Video thumbnail

CMPSC/Math 451. Feb 16, 2015. Error for Simpson's rule. Recursive rule. Extrapolation. Wen Shen

Wen Shen, Penn State University. Lectures are based on my book: "An Introduction to Numerical Computation", published by World Scientific, 2016. See promo video: https://youtu.be/MgS33HcgA_I

From playlist Numerical Computation spring 2015. Wen Shen. Penn State University.

Video thumbnail

Woodturning: Dry Wood Turning

The Grand River Woodturners Guild holds monthly meetings at the Geek Group labs, where they demonstrate techniques for various forms of turning. This month featured member Matthew showing the group how to turn dry wood into a bowl.

From playlist Woodturning

Video thumbnail

Cutting Planes Proofs of Tseitin and Random Formulas - Noah Fleming

Computer Science/Discrete Mathematics Seminar II Topic: Cutting Planes Proofs of Tseitin and Random Formulas Speaker: Noah Fleming Affiliation: University of Toronto Date: May 5, 2020 For more video please visit http://video.ias.edu

From playlist Mathematics

Video thumbnail

Special Right Triangles

Use the properties of 30-60-90 and 45-45-90 right triangles to solve for the lengths of the triangle sides.

From playlist Geometry

Video thumbnail

Fair Division: The Last Diminisher Method

This video explains and provides an example of the last diminisher method of fair division. Site: http://mathispower4u.com

From playlist Fair Division

Related pages

Mathematical logic | Sequent calculus | Modus ponens