Temporal logic | Model checking

Metric temporal logic

Metric temporal logic (MTL) is a special case of temporal logic. It is an extension of temporal logic in which temporal operators are replaced by time-constrained versions like until, next, since and previous operators. It is a linear-time logic that assumes both the interleaving and fictitious-clock abstractions. It is defined over a point-based weakly-monotonic integer-time semantics. MTL has been described as a prominent specification formalism for real-time systems. Full MTL over infinite timed words is undecidable. (Wikipedia).

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Metric spaces -- Proofs

This lecture is on Introduction to Higher Mathematics (Proofs). For more see http://calculus123.com.

From playlist Proofs

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Using Dimensional Analysis to Find the Units of a Constant

This video shows you how to use dimensional analysis to find the units for constants in physics and chemistry equations. For example, why are the units for the gravitational constant (G) newtons, meters squared over kilograms squared. Dimensional analysis in physics is an important tool t

From playlist Metric Units

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What is a metric space? An example

This is a basic introduction to the idea of a metric space. I introduce the idea of a metric and a metric space framed within the context of R^n. I show that a particular distance function satisfies the conditions of being a metric.

From playlist Mathematical analysis and applications

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What is a metric space ?

Metric space definition and examples. Welcome to the beautiful world of topology and analysis! In this video, I present the important concept of a metric space, and give 10 examples. The idea of a metric space is to generalize the concept of absolute values and distances to sets more gener

From playlist Topology

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Introduction to Metric Spaces

Introduction to Metric Spaces - Definition of a Metric. - The metric on R - The Euclidean Metric on R^n - A metric on the set of all bounded functions - The discrete metric

From playlist Topology

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Weird notions of "distance" || Intro to Metric Spaces

Visit https://brilliant.org/TreforBazett/ to get started learning STEM for free, and the first 200 people will get 20% off their annual premium subscription. Check out my MATH MERCH line in collaboration with Beautiful Equations โ–บhttps://www.beautifulequation.com/pages/trefor Weird, fun

From playlist Cool Math Series

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Advanced 6. Planning with Temporal Logic

MIT 16.412J Cognitive Robotics, Spring 2016 View the complete course: https://ocw.mit.edu/16-412JS16 Instructor: MIT students This is the seventh advanced lecture in the MIT 16.412 Cognitive Robotics of Spring 2016, led by MIT students. Students presented the research in linear temporal l

From playlist MIT 16.412J Cognitive Robotics, Spring 2016

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Complete metric space: example & proof

This video discusses an example of particular metric space that is complete. The completeness is proved with details provided. Such ideas are seen in branches of analysis.

From playlist Mathematical analysis and applications

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Post-analysis temporal downsampling

Are your time-frequency results matrices too big? Watch this video to learn how to reduce the temporal resolution of your results to match their temporal precision, which can save lots of time and space. The video uses files you can download from https://github.com/mikexcohen/ANTS_youtube

From playlist OLD ANTS #5) Normalization and time-frequency post-processing

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Nina Otter (4/23/19): The magnitude of a metric space

Title: The magnitude of a metric space Abstract: The magnitude is an isometric invariant of metric spaces that was introduced by Tom Leinster in 2010, and is currently the object of intense research. Magnitude encodes many invariants of a metric space such as volume, dimension, capacity,

From playlist AATRN 2019

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Pratik Chaudhari: "Learning with Few Labeled Data"

Mathematical Challenges and Opportunities for Autonomous Vehicles 2020 Workshop I: Individual Vehicle Autonomy: Perception and Control "Learning with Few Labeled Data" Pratik Chaudhari - University of Pennsylvania Abstract: The relevant limit for machine learning is not N ? infinity but

From playlist Mathematical Challenges and Opportunities for Autonomous Vehicles 2020

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Stanford Seminar - Safety (and Liveness!) of Robot Behaviors

Hadas Kress- Gazit, Professor Sibley School of Mechanical and Aerospace Engineering, College of Engineering - Princeton April 27, 2022 In this talk I will describe how formal methods such as synthesis โ€“ automatically creating a system from a formal specification โ€“ can be leveraged to desi

From playlist Stanford CS521 - AI Safety Seminar

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Rasa Reading Group: Commonsense Reasoning for Natural Language Processing

Join Rachael as starts reading the blog "Commonsense Reasoning for Natural Language Processing" by Vered Shwartz. The blog is based on the based on the Commonsense Tutorial taught by Maarten Sap, Antoine Bosselut, Yejin Choi, Dan Roth, and Vared Schwartz at ACL 2020. Link to paper: https:

From playlist Rasa Reading Group

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Make-A-Video: Text-To-Video Generation Without Text-Video Data | Paper Explained

๐Ÿš€ Find out how to get started using Weights & Biases ๐Ÿš€ http://wandb.me/ai-epiphany ๐Ÿ‘จโ€๐Ÿ‘ฉโ€๐Ÿ‘งโ€๐Ÿ‘ฆ Join our Discord community ๐Ÿ‘จโ€๐Ÿ‘ฉโ€๐Ÿ‘งโ€๐Ÿ‘ฆ https://discord.gg/peBrCpheKE In this video I cover the latest text-to-video paper from Meta: "Make-A-Video: Text-To-Video Generation Without Text-Video Data". I

From playlist Video

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Radiation Field for Einstein Vacuum Equations - Fang Wang

Fang Wang Princeton University; Institute for Advanced Study October 7, 2011 For more videos, visit http://video.ias.edu

From playlist Mathematics

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12/6/2019, Sam Coogan

Sam Coogan, Georgia Tech Probabilistic guarantees for autonomous systems For complex autonomous systems subject to stochastic dynamics, providing absolute assurances of performance may not be possible. Instead, probabilistic guarantees that assure, for example, desirable performance with

From playlist Fall 2019 Kolchin Seminar in Differential Algebra

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The Dark Side of Time

Is space-time fragmented, segmented into quantized bits of information, or causal sets? Or is space-time smooth and continuous, with curves, bends, and warps; just as Einstein had predicted? Is what we call space-time even part of objective reality or is it just a mathematical construct

From playlist Science

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Diffusion Models Beat GANs on Image Synthesis | ML Coding Series | Part 2

โค๏ธ Become The AI Epiphany Patreon โค๏ธ https://www.patreon.com/theaiepiphany ๐Ÿ‘จโ€๐Ÿ‘ฉโ€๐Ÿ‘งโ€๐Ÿ‘ฆ Join our Discord community ๐Ÿ‘จโ€๐Ÿ‘ฉโ€๐Ÿ‘งโ€๐Ÿ‘ฆ https://discord.gg/peBrCpheKE 4th video in the ML coding series! In this one I continue explaining diffusion models! I cover the "Diffusion Models Beat GANs on Image Synt

From playlist Diffusion models

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MAST30026 Lecture 2: Examples of spaces (Part 1)

I started with the definition of a metric space, we briefly discussed the example of Euclidean space (proofs next time) and then I started to explain a few natural metrics on the circle. Lecture notes: http://therisingsea.org/notes/mast30026/lecture2.pdf The class webpage: http://therisin

From playlist MAST30026 Metric and Hilbert spaces

Related pages

Signal (model checking) | Linear temporal logic | Logical connective | EXPSPACE | Temporal logic | Modal operator | De Morgan's laws | Timed word | PSPACE-complete | Complete (complexity) | Timed propositional temporal logic | Propositional variable