Mathematical logic | Grammar frameworks | Model theory
Model-theoretic grammars, also known as constraint-based grammars, contrast with generative grammars in the way they define sets of sentences: they state constraints on syntactic structure rather than providing operations for generating syntactic objects. A generative grammar provides a set of operations such as rewriting, insertion, deletion, movement, or combination, and is interpreted as a definition of the set of all and only the objects that these operations are capable of producing through iterative application. A model-theoretic grammar simply states a set of conditions that an object must meet, and can be regarded as defining the set of all and only the structures of a certain sort that satisfy all of the constraints. The approach applies the mathematical techniques of model theory to the task of syntactic description: a grammar is a theory in the logician's sense (a consistent set of statements) and the well-formed structures are the models that satisfy the theory. (Wikipedia).
Model Theory - part 03 - Terms, Formulas, Sequents
He we are a little bit more precise about keeping track of what fragments of formal languages we are using. This becomes relevant when you want to interpret them later. Caramello's book was useful in preparing this. We also found the post on nCatLab useful.
From playlist Model Theory
Model Theory - part 07 - Semantics pt 1
This is the first video on semantics.
From playlist Model Theory
Model Theory - part 01 - The Setup in Classical Set Valued Model Theory
Here we give the basic setup for Model Theory. I learned this from a talk Tom Scanlon gave in 2010 at CUNY.
From playlist Model Theory
A Practical Introduction to Interpretations.
We give a definition that is necessary for the construction of Hodge Theaters.
From playlist Model Theory
Model Theory - part 08 - Syntactic Catgories
These are the categories where functors from these dudes are models... these take forever to define. On top of it, these end up just being friggin' definable sets and definable morphisms!! I remember being a place in here where there is a diagram which i say commutes but I need to actually
From playlist Model Theory
Model Theory - part 04 - Posets, Lattices, Heyting Algebras, Booleans Algebras
This is a short video for people who haven't seen a Heyting algebras before. There is really nothing special in it that doesn't show up in wikipedia or ncatlab. I just wanted to review it before we use them. Errata: *at 3:35: there the law should read (a and (a or b) ), not (a and (a and
From playlist Model Theory
There is a great deal of confusion about the term 'grammar'. Most people associate with it a book written about a language. In fact, there are various manifestations of this traditional term: presecriptive, descriptive and reference grammar. In theoretical linguistics, grammars are theory
From playlist VLC107 - Syntax: Part II
Chloe Perin: Forking independence in the free group
The lecture was held within the framework of the Hausdorff Trimester Program: Logic and Algorithms in Group Theory. Abstract: Model theorists define, in structures whose first-order theory is "stable" (i.e. suitably nice), a notion of independence between elements. This notion coincides f
From playlist HIM Lectures: Trimester Program "Logic and Algorithms in Group Theory"
Noam Chomsky on Theories of Linguistics (Part 2) | Closer To Truth Chats
Closer To Truth has just launched a new website! We can't wait for you to see what we've been working on. New seasons (including the web debut of Season 21), interviews, topic guides, curated playlists, candid conversations, book excerpts, essays, and announcements. Visit today: www.Closer
From playlist Closer To Truth Chats
MathZero, The Classification Problem, and Set-Theoretic Type Theory - David McAllester
Seminar on Theoretical Machine Learning Topic: MathZero, The Classification Problem, and Set-Theoretic Type Theory Speaker: David McAllester Affiliation: Toyota Technological Institute at Chicago Date: May 14, 2020 For more video please visit http://video.ias.edu
From playlist Mathematics
We give some basic definitions and notions associated with sets. In particular, we describe sets via the "roster method", via a verbal description, and with set-builder notation. We also give an example of proving the equality of two sets. Please Subscribe: https://www.youtube.com/michael
From playlist Proof Writing
MAE915_Session 9_Assessing Speaking (theory)_06 Oct 2021
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From playlist Language Assessment & Technology
In this series of videos, I will discuss some of the fundamental principles writing and writing assessment.
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Stanford Seminar - Using Big Data to Discover Tacit Knowledge and Improve Learning
Ken Koedinger Carnegie Mellon University This seminar series features dynamic professionals sharing their industry experience and cutting edge research within the human-computer interaction (HCI) field. Each week, a unique collection of technologists, artists, designers, and activists wil
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Can machines learn without supervision? by Sanjeev Arora
ICTS at Ten ORGANIZERS: Rajesh Gopakumar and Spenta R. Wadia DATE: 04 January 2018 to 06 January 2018 VENUE: International Centre for Theoretical Sciences, Bengaluru This is the tenth year of ICTS-TIFR since it came into existence on 2nd August 2007. ICTS has now grown to have more tha
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Lecture 6 covers dependency parsing which is the task of analyzing the syntactic dependency structure of a given input sentence S. The output of a dependency parser is a dependency tree where the words of the input sentence are connected by typed dependency relations. Key phrases: Depende
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On the Setoid Model of Type Theory - Erik Palmgren
Erik Palmgren University of Stockholm October 18, 2012 For more videos, visit http://video.ias.edu
From playlist Mathematics
Paola Cantù : Logic and Interaction:pragmatics and argumentation theory
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From playlist Logic and Foundations