Mathematical logic | Logical calculi

Superposition calculus

The superposition calculus is a calculus for reasoning in equational first-order logic. It was developed in the early 1990s and combines concepts from first-order resolution with ordering-based equality handling as developed in the context of (unfailing) Knuth–Bendix completion. It can be seen as a generalization of either resolution (to equational logic) or unfailing completion (to full clausal logic). As most first-order calculi, superposition tries to show the unsatisfiability of a set of first-order clauses, i.e. it performs proofs by refutation. Superposition is refutation-complete—given unlimited resources and a fair derivation strategy, from any unsatisfiable clause set a contradiction will eventually be derived. As of 2007, most of the (state-of-the-art) theorem provers for first-order logic are based on superposition (e.g. the E equational theorem prover), although only a few implement the pure calculus. (Wikipedia).

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Principle of superposition

Proves the Principle of Superposition for linear, homogeneous odes. Join me on Coursera: Matrix Algebra for Engineers: https://www.coursera.org/learn/matrix-algebra-engineers Differential Equations for Engineers: https://www.coursera.org/learn/differential-equations-engineers Vector C

From playlist Differential Equations

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Superposition Theorem

This electronics video tutorial provides a basic introduction into the superposition theorem. It explains how to solve circuit problems with multiple voltage and current sources using the superposition theorem. My Website: https://www.video-tutor.net Patreon Donations: https://www.patr

From playlist New Physics Video Playlist

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The principle of superposition | Lecture 11 | Differential Equations for Engineers

A proof of the principle of superposition for linear, homogeneous differential equations. Join me on Coursera: https://www.coursera.org/learn/differential-equations-engineers Lecture notes at http://www.math.ust.hk/~machas/differential-equations-for-engineers.pdf Subscribe to my channel

From playlist Differential Equations for Engineers

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Differential Equation - 2nd Order (7 of 54) The Superposition Principle: Example

Visit http://ilectureonline.com for more math and science lectures! In this video I will give an example of the superposition principle with y”-y=0 with the solutions y1=e^x and y2=e^-x. Next video can be seen at: https://youtu.be/CNrQcfJGK2k

From playlist DIFFERENTIAL EQUATIONS 11 - 2nd ORDER, A COMPLETE OVERVIEW

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Physics - E&M: Ch 36.1 The Electric Field Understood (8 of 17) The Superposition Principle

Visit http://ilectureonline.com for more math and science lectures! In this video I will explain what is the superposition principle applied to a case of multiple charges, positive and negative, each creating their own electric field therefore creating a resulting electric field at some d

From playlist PHYSICS 36.1 ELECTRIC FIELD EXPLAINED

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Differential Equation - 2nd Order (6 of 54) The Superposition Principle

Visit http://ilectureonline.com for more math and science lectures! In this video I will explain what is the superposition principle. Next video can be seen at: https://youtu.be/mZOJFbtcmmc

From playlist DIFFERENTIAL EQUATIONS 11 - 2nd ORDER, A COMPLETE OVERVIEW

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The nature of superposition. Mach-Zehnder interferometer

MIT 8.04 Quantum Physics I, Spring 2016 View the complete course: http://ocw.mit.edu/8-04S16 Instructor: Barton Zwiebach License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu

From playlist MIT 8.04 Quantum Physics I, Spring 2016

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Electrical Engineering: Ch 4: Circuit Theorems (5 of 35) Superposition Defined

Visit http://ilectureonline.com for more math and science lectures! In this video I will define and explain what is superposition. Next video in this series can be seen at: https://youtu.be/FKYvK7Y3JM8

From playlist ELECTRICAL ENGINEERING 4: CIRCUIT THEOREMS

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The Theory of 2nd Order ODEs // Existence & Uniqueness, Superposition, & Linear Independence

MY DIFFERENTIAL EQUATIONS PLAYLIST: ►https://www.youtube.com/playlist?list=PLHXZ9OQGMqxde-SlgmWlCmNHroIWtujBw Open Source (i.e free) ODE Textbook: ►http://web.uvic.ca/~tbazett/diffyqs Previously in our ODE playlist, we've studied 1st order differential equations. Now we move to second ord

From playlist Ordinary Differential Equations (ODEs)

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Partial Differential Equations Overview

Partial differential equations are the mathematical language we use to describe physical phenomena that vary in space and time. Examples include gravitation, electromagnetism, and fluid dynamics. @eigensteve on Twitter eigensteve.com databookuw.com %%% CHAPTERS %%% 0:00 Overview of Pa

From playlist Engineering Math: Vector Calculus and Partial Differential Equations

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Petra Hozzova - Automation of Induction in Saturation - IPAM at UCLA

Recorded 17 February 2023. Petra Hozzova of Technische Universität Wien, Institute of Logic and Computation, presents "Automation of Induction in Saturation" at IPAM's Machine Assisted Proofs Workshop. Abstract: Induction in saturation-based first-order theorem proving is a new exciting di

From playlist 2023 Machine Assisted Proofs Workshop

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Peter Zoller: Introduction to quantum optics - Lecture 3

Abstract: Quantum optical systems provides one of the best physical settings to engineer quantum many-body systems of atoms and photons, which can be controlled and measured on the level of single quanta. In this course we will provide an introduction to quantum optics from the perspective

From playlist Mathematical Physics

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Second-order, linear, homogeneous ode with constant coefficients (Part I)

How to solve a second-order, linear, homogeneous ode with constant coefficients (Part I) Join me on Coursera: Matrix Algebra for Engineers: https://www.coursera.org/learn/matrix-algebra-engineers Differential Equations for Engineers: https://www.coursera.org/learn/differential-equations

From playlist Differential Equations

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Normal modes: Part 2

Solution of the two mass, three spring coupled oscillators. Part 2. Join me on Coursera: Matrix Algebra for Engineers: https://www.coursera.org/learn/matrix-algebra-engineers Differential Equations for Engineers: https://www.coursera.org/learn/differential-equations-engineers Vector

From playlist Differential Equations

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Understanding the Deflection of Beams

Sign up for Brilliant at https://brilliant.org/efficientengineer/, and start your journey towards calculus mastery! The first 200 people to sign up using this link will get 20% off the annual premium subscription! In this video I take a look at five methods that can be used to predict how

From playlist Mechanics of Materials / Strength of Materials

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The Theory of Higher Order Differential Equations

MY DIFFERENTIAL EQUATIONS PLAYLIST: ►https://www.youtube.com/playlist?list=PLHXZ9OQGMqxde-SlgmWlCmNHroIWtujBw Open Source (i.e free) ODE Textbook: ►http://web.uvic.ca/~tbazett/diffyqs Previously in my ODE Playlist we've talked about the theory of 1st order or 2nd order differential equati

From playlist Ordinary Differential Equations (ODEs)

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Addendum for Supermasks in Superposition: A Closer Look (Paper Explained)

I take a closer look at "Supermasks in Superposition" after I've already done a video on it. Specifically, I look at: 1. The intuition and theoretical justification behind the G objective, 2. Whether Supermasks and Superposition can be viewed as two distinct ideas and 3. The Paper's Broade

From playlist Papers Explained

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Light and Optics 7_6 More on Interference

The principle of linear superposition.

From playlist Physics - Light and Optics

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Discrete Structures: Quantum Computing

A quick introduction to quantum computing from a computer science perspective. Learn about quantum gates and how they affect qubits.

From playlist Discrete Structures, Spring 2022

Related pages

Automated theorem proving | Formal system | Handbook of Automated Reasoning | Harald Ganzinger | First-order logic | Knuth–Bendix completion algorithm