Inductive logic programming (ILP) is a subfield of symbolic artificial intelligence which uses logic programming as a uniform representation for examples, background knowledge and hypotheses. Given an encoding of the known background knowledge and a set of examples represented as a logical database of facts, an ILP system will derive a hypothesised logic program which entails all the positive and none of the negative examples. * Schema: positive examples + negative examples + background knowledge ⇒ hypothesis. Inductive logic programming is particularly useful in bioinformatics and natural language processing. Gordon Plotkin and Ehud Shapiro laid the initial theoretical foundation for inductive machine learning in a logical setting. Shapiro built their first implementation (Model Inference System) in 1981: a Prolog program that inductively inferred logic programs from positive and negative examples. The first full first-order implementation of inductive logic programming was Theorist in 1986. The term Inductive Logic Programming was first introduced in a paper by Stephen Muggleton in 1991. Muggleton also founded the annual international conference on Inductive Logic Programming, introduced the theoretical ideas of Predicate Invention, Inverse resolution, and Inverse entailment. Muggleton implemented Inverse entailment first in the PROGOL system. The term "inductive" here refers to philosophical (i.e. suggesting a theory to explain observed facts) rather than mathematical (i.e. proving a property for all members of a well-ordered set) induction. (Wikipedia).
Geometry - Ch. 2: Reasoning and Proofs (12 of 46) What is Inductive Reasoning?
Visit http://ilectureonline.com for more math and science lectures! In this video I will review inductive reasoning (from previous videos) and its advantages and weaknesses. Inductive reasoning is used by 1) finding a pattern, and 2) perform observations (examples or trends) in order to d
From playlist GEOMETRY CH 2 PROOFS & REASONING
Inductive Construction of a Subsequence In this video, I present the idea of an inductive construction of a subsequence. I illustrate this by showing that for every real number, there is a sequence of rational numbers that converges to that real number. Enjoy! Another Inductive Construct
From playlist Sequences
Abstract Algebra | Injective Functions
We give the definition of an injective function, an outline of proving that a given function is injective, and a few examples. http://www.michael-penn.net http://www.randolphcollege.edu/mathematics/
From playlist Abstract Algebra
Watch more videos on http://www.brightstorm.com/math/geometry SUBSCRIBE FOR All OUR VIDEOS! https://www.youtube.com/subscription_center?add_user=brightstorm2 VISIT BRIGHTSTORM.com FOR TONS OF VIDEO TUTORIALS AND OTHER FEATURES! http://www.brightstorm.com/ LET'S CONNECT! Facebook ► https
From playlist Geometry
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
Precalculus 11.5a - Mathematical Induction
Mathematical Induction. First in a short series of videos. From the Precalculus class taught by Derek Owens. These are older videos, from the original course, posted by request.
From playlist Precalculus Chapter 11 (Selected videos)
Logic: The Structure of Reason
As a tool for characterizing rational thought, logic cuts across many philosophical disciplines and lies at the core of mathematics and computer science. Drawing on Aristotle’s Organon, Russell’s Principia Mathematica, and other central works, this program tracks the evolution of logic, be
From playlist Logic & Philosophy of Mathematics
Introduction to the Coq Proof Assistant - Andrew Appel
Introduction to the Coq Proof Assistant - Andrew Appel Princeton University December 7, 2010 A "proof assistant" is a software package comprising a validity checker for proofs in a particular logic, accompanied by semi-decision procedures called "tactics" that assist the mathematician in
From playlist Mathematics
Logical Reasoning: Become A Better Thinker
Logical thinking is also known as analytical reasoning, critical thinking or abstract thinking. It is an important trait, especially among developers in the software development industry. Without the logic, they would not understand how the software works, nor would they produce a clean co
From playlist Problem Solving
Watch more videos on http://www.brightstorm.com/math/geometry SUBSCRIBE FOR All OUR VIDEOS! https://www.youtube.com/subscription_center?add_user=brightstorm2 VISIT BRIGHTSTORM.com FOR TONS OF VIDEO TUTORIALS AND OTHER FEATURES! http://www.brightstorm.com/ LET'S CONNECT! Facebook ► https
From playlist Geometry
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
C9 Lectures: Dr. Erik Meijer - Functional Programming Fundamentals Chapter 13 of 13
In Chapter 13, Equational Reasoning (and also revealing why Erik says 'uhm' and 'you know' so often), the grand finale, Dr. Meijer digs into referential transparency and being able to replace equals by equals in all contexts. In some sense, the purity inherent in functional languages like
From playlist Haskell - Functional Programming Fundamentals (Dr. Erik Meijer )
Univalent Foundations Seminar - Steve Awodey
Steve Awodey Carnegie Mellon University; Member, School of Mathematics November 19, 2012 For more videos, visit http://video.ias.edu
From playlist Mathematics
Micaela Mayero - Overview of real numbers in theorem provers: application with real analysis in Coq
Recorded 15 February 2023. Micaela Mayero of the Galilee Institute - Paris Nord University presents "An overview of the real numbers in theorem provers: an application with real analysis in Coq" at IPAM's Machine Assisted Proofs Workshop. Abstract: Formalizing real numbers in a formal proo
From playlist 2023 Machine Assisted Proofs Workshop
Learning Explanatory Rules from Noisy Data - Richard Evans, DeepMind
Artificial Neural Networks are powerful function approximators capable of modelling solutions to a wide variety of problems, both supervised and unsupervised. As their size and expressivity increases, so too does the variance of the model, yielding a nearly ubiquitous overfitting problem.
From playlist Logic and learning workshop
The Philosophy of Science - Hilary Putnam & Bryan Magee (1978)
In this program, Hilary Putnam discusses the philosophy of science with Bryan Magee. This is from a 1978 series on Modern Philosophy called Men of Ideas. Hilary Putnam was an influential American philosopher, as well as a mathematician and computer scientist. As a major figure in analytic
From playlist Bryan Magee Interviews - Modern Philosophy: Men of Ideas (1977-1978)
Giulio Manzonetto: Taylor expansion, at work
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