Theoretical computer science | Algorithms

Algorithmic logic

Algorithmic logic is a calculus of programs that allows the expression of semantic properties of programs by appropriate logical formulas. It provides a framework that enables proving the formulas from the axioms of program constructs such as assignment, iteration and composition instructions and from the axioms of the data structures in question see , . The following diagram helps to locate algorithmic logic among other logics.The formalized language of algorithmic logic (and of algorithmic theories of various data structures) contains three types of well formed expressions: Terms - i.e. expressions denoting operations on elements of data structures, formulas - i.e. expressions denoting the relations among elements of data structures, programs - i.e. algorithms - these expressions describe the computations.For semantics of terms and formulas consult pages on first-order logic and Tarski's semantics. The meaning of a program is the set of possible computations of the program. Algorithmic logic is one of many logics of programs.Another logic of programs is dynamic logic, see dynamic logic, . (Wikipedia).

Video thumbnail

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

Video thumbnail

Algorithms Explained: What is an Algorithm?

This video defines what an algorithm is, distinguishes algorithms from recipes and functions and gives some examples of algorithms. This is the first video in an "Algorithms Explained" series that discusses algorithms at a conceptual level. Videos in this series that discuss specific algo

From playlist Algorithms Explained

Video thumbnail

What Is An Algorithm ? | Introduction to Algorithms | How To Write An Algorithm? | Simplilearn

This video is based on What Is An Algorithm ? The Introduction to Algorithms tutorial will explain to you How To Write An Algorithm? and it will cover the following topics ✅00:00- Introduction to Algorithms ✅01:46- What Is an Algorithm? The algorithm is a step-by-step procedure or set o

From playlist C++ Tutorial Videos

Video thumbnail

Measuring Time Solution - Intro to Algorithms

This video is part of an online course, Intro to Algorithms. Check out the course here: https://www.udacity.com/course/cs215.

From playlist Introduction to Algorithms

Video thumbnail

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

Video thumbnail

Algorithms Explained: Computational Complexity

An overview of computational complexity including the basics of big O notation and common time complexities with examples of each. Understanding computational complexity is vital to understanding algorithms and why certain constructions or implementations are better than others. Even if y

From playlist Algorithms Explained

Video thumbnail

Mean Solution - Intro to Algorithms

This video is part of an online course, Intro to Algorithms. Check out the course here: https://www.udacity.com/course/cs215.

From playlist Introduction to Algorithms

Video thumbnail

Computer Science Basics: Algorithms

We use computers every day, but how often do we stop and think, “How do they do what they do?” This video series explains some of the core concepts behind computer science. To view the entire playlist, visit https://www.youtube.com/playlist?list=PLpQQipWcxwt-Q9izCl0mm-QZ4seuBdUtr. We hop

From playlist Computer Science Basics

Video thumbnail

What Is Machine Learning?

Machine learning describes computer systems that are able to automatically perform tasks based on data. A machine learning system takes data as input and produces an approach or solution to a task as output, without the need for human intervention. Machine learning is closely tied to th

From playlist Data Science Dictionary

Video thumbnail

Mobile Robotics, Part 5: Performing a Sequence of Path Navigation Tasks

Learn how to design a supervisory logic that navigates a robot through a predefined path. Enter the MATLAB and Simulink Primary and Secondary School Competitions Hub: https://bit.ly/2JBr3jf Download Example Files: https://bit.ly/2XNktPt ---------------------------------------------------

From playlist MATLAB and Simulink Mobile Robotics

Video thumbnail

Nicole Schweikardt: Databases and descriptive complexity – lecture 1

Recording during the meeting "Spring school on Theoretical Computer Science (EPIT) - Databases, Logic and Automata " the April 11, 2019 at the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Guillaume Hennenfent Find this video and other talks given by wor

From playlist Numerical Analysis and Scientific Computing

Video thumbnail

Tips To Improve Logic Building In Programming | Programming Tips For Beginners | Simplilearn

This video on tips to improve logic building in programming will guide you through some tips and tricks that help you get an easy understanding of coding and programming. This video is also very helpful to the learners looking for programming tips for beginners. Tips covered in this vide

From playlist Ful Stack Web Development 🔥[2023 Updated]

Video thumbnail

Learning Logically Defined Hypotheses - Martin Grohe, RWTH Aachen University

I will introduce a declarative framework for machine learning where hypotheses are defined by formulas of a logic over some background structure. Within this framework, I will discuss positive as well as negative learnability results (in the "probably approximately correct" learning sense)

From playlist Logic and learning workshop

Video thumbnail

The story of mathematical proof – with John Stillwell

Discover the surprising history of proof, a mathematically vital concept. In this talk John covers the areas of number theory, non-Euclidean geometry, topology, and logic, and peer into the deep chasm between natural number arithmetic and the real numbers. Buy John's book here: https://g

From playlist Livestreams

Video thumbnail

All About Algorithms: Introduction

In this video series, I will give you a visual introduction into the world of algorithms. Throughout the following videos, we will look at various different topics such as sorting algorithms, data structures or graph algorithms. I will also cover important, theoretical concepts like amorti

From playlist All About Algorithms

Related pages

Term (logic) | Axiom | Dynamic logic (modal logic) | Mathematical logic | First-order logic | Algorithm | Formula