The Boolean satisfiability problem (frequently abbreviated SAT) can be stated formally as:given a Boolean expression with variables, finding an assignment of the variables such that is true. It is seen as the canonical NP-complete problem. While no efficient algorithm is known to solve this problem in the general case, there are certain heuristics, informally called 'rules of thumb' in programming, that can usually help solve the problem reasonably efficiently. Although no known algorithm is known to solve SAT in polynomial time, there are classes of SAT problems which do have efficient algorithms that solve them. These classes of problems arise from many practical problems in AI planning, circuit testing, and software verification. Research on constructing efficient SAT solvers has been based on various principles such as resolution, search, local search and random walk, binary decisions, and Stalmarck's algorithm. Some of these algorithms are deterministic, while others may be stochastic. As there exist polynomial-time algorithms to convert any Boolean expression to conjunctive normal form such as Tseitin's algorithm, posing SAT problems in CNF does not change their computational difficulty. SAT problems are canonically expressed in CNF because CNF has certain properties that can help prune the search space and speed up the search process. (Wikipedia).
From playlist Week 1 2015 Shorts
Boolean Algebra 2 – Simplifying Complex Expressions
This video follows on from the one about the laws of Boolean algebra. It explains some useful interpretations of the laws of Boolean algebra, in particular, variations of the annulment and distributive laws. It goes on to demonstrate how Boolean algebra can be applied to simplify comple
From playlist Boolean Algebra
Analysis of Boolean Functions on Association Schemes - Yuval Filmus
Yuval Filmus Member, School of Mathematics September 23, 2014 More videos on http://video.ias.edu
From playlist Mathematics
Boolean Algebra: Sample Problems
In this video, I work through some sample problems relating to Boolean algebra. Specific, I work through examples of translating equivalences from logical or set notation to Boolean notation, and also a derivation using Boolean equivalences.
From playlist Discrete Mathematics
Boolean Algebra 1 – The Laws of Boolean Algebra
This computer science video is about the laws of Boolean algebra. It briefly considers why these laws are needed, that is to simplify complex Boolean expressions, and then demonstrates how the laws can be derived by examining simple logic circuits and their truth tables. It also shows ho
From playlist Boolean Algebra
Vinod Nair - Restricted Boltzmann Machines for Maximum Satisfiability - IPAM at UCLA
Recorded 27 February 2023. Vinod Nair of Google Brain presents "Restricted Boltzmann Machines for Maximum Satisfiability" at IPAM's Artificial Intelligence and Discrete Optimization Workshop. Abstract: In the past two decades, machine learning workloads have been transformed by the availab
From playlist 2023 Artificial Intelligence and Discrete Optimization
Boolean Algebra 3 – De Morgan’s Theorem
This video follows on from the one about simplifying complex Boolean expressions using the laws of Boolean algebra. In particular this video covers De Morgan’s theorem and how it can be applied, along with the other laws, to simplify complex Boolean expressions. It includes worked exampl
From playlist Boolean Algebra
Phase transitions of random constraint satisfaction problems – Allan Sly – ICM2018
Probability and Statistics Invited Lecture 12.5 Phase transitions of random constraint satisfaction problems Allan Sly Abstract: Random constraint satisfaction problems encode many interesting questions in the study of random graphs such as the chromatic and independence numbers. Ideas f
From playlist Probability and Statistics
A Quick Overview of BOOLEAN ALGEBRA (symbols, truth tables, and laws)
Error in Video (9:32, 11:30): When talking about the last laws in the columns for equivalences, I say "DeMorgan's Law" when I mean to say "Distributive Law". In this video on #Logic, we learn the basics of #BooleanAlgebra and compare the notation for propositional logic with it. We cover
From playlist Logic in Philosophy and Mathematics
Oktay Günlük: "Fair and Interpretable Decision Rules for Binary Classification"
Deep Learning and Combinatorial Optimization 2021 "Fair and Interpretable Decision Rules for Binary Classification" Oktay Günlük - Cornell University Abstract: In this talk we consider the problem of building Boolean rule sets in disjunctive normal form (DNF), an interpretable model for
From playlist Deep Learning and Combinatorial Optimization 2021
Computational Insights and the Theory of Evolution
(April 25, 2012) Christos Papadimitriou discusses how some recent computational techniques have provided some unique insights into the theory of evolution. Things such as genetic algorithms and Boolean functions have helped us to better understand certain aspects of evolution and populatio
From playlist Engineering
!!Con 2020 - The Taming of the Clue: Making a Crossword Solver Bot by Chloe Revery
The Taming of the Clue: Making a Crossword Solver Bot by Chloe Revery Have you ever tried to solve a crossword puzzle and walked away stumped? Imagine being a secondhand pen plotter from the 1980s! The humble pen plotter – a robotic arm with pen attachments once used to draw graphs for bu
From playlist !!Con 2020
Giles Gardam: Solving semidecidable problems in group theory
Giles Gardam, University of Münster Abstract: Group theory is littered with undecidable problems. A classic example is the word problem: there are groups for which there exists no algorithm that can decide if a product of generators represents the trivial element or not. Many problems (th
From playlist SMRI Algebra and Geometry Online
Replacing truth tables and Boolean equivalences | MathFoundations274 | N J Wildberger
While Propositional Logic is a branch of philosophy, concerned with systematizing reasoning using connectives such as AND, OR, NOT, IMPLIES and EQUIVALENT, the Algebra of Boole provides a mathematical framework for modelling some of this. With this approach we ignore the issue of the mean
From playlist Boole's Logic and Circuit Analysis
PMSP - Quasi-random boolean functions, and inapproximability - Ryan O'Donnell
Ryan O'Donnell Carnegie Mellon University June 17, 2010 For more videos, visit http://video.ias.edu
From playlist Mathematics
On the Ising perceptron model - Nike Sun
Marston Morse Lectures Topic: On the Ising perceptron model Speaker: Nike Sun Affiliation: Massachusetts Institute of Technology Date: April 23, 2021 For more video please visit http://video.ias.edu
From playlist Mathematics