Operational semantics | Programming language semantics | Logic in computer science | Formal specification languages
Operational semantics is a category of formal programming language semantics in which certain desired properties of a program, such as correctness, safety or security, are verified by constructing proofs from logical statements about its execution and procedures, rather than by attaching mathematical meanings to its terms (denotational semantics). Operational semantics are classified in two categories: structural operational semantics (or small-step semantics) formally describe how the individual steps of a computation take place in a computer-based system; by opposition natural semantics (or big-step semantics) describe how the overall results of the executions are obtained. Other approaches to providing a formal semantics of programming languages include axiomatic semantics and denotational semantics. The operational semantics for a programming language describes how a valid program is interpreted as sequences of computational steps. These sequences then are the meaning of the program. In the context of functional programming, the final step in a terminating sequence returns the value of the program. (In general there can be many return values for a single program, because the program could be nondeterministic, and even for a deterministic program there can be many computation sequences since the semantics may not specify exactly what sequence of operations arrives at that value.) Perhaps the first formal incarnation of operational semantics was the use of the lambda calculus to define the semantics of Lisp. Abstract machines in the tradition of the SECD machine are also closely related. (Wikipedia).
Dirichlet Eta Function - Integral Representation
Today, we use an integral to derive one of the integral representations for the Dirichlet eta function. This representation is very similar to the Riemann zeta function, which explains why their respective infinite series definition is quite similar (with the eta function being an alte rna
From playlist Integrals
How to integrate exponential expression with u substitution
👉 Learn how to evaluate the integral of a function. The integral, also called antiderivative, of a function, is the reverse process of differentiation. Integral of a function can be evaluated as an indefinite integral or as a definite integral. A definite integral is an integral in which t
From playlist The Integral
Integrate the a rational expression using logarithms and u substitution
👉 Learn how to evaluate the integral of a function. The integral, also called antiderivative, of a function, is the reverse process of differentiation. Integral of a function can be evaluated as an indefinite integral or as a definite integral. A definite integral is an integral in which t
From playlist The Integral
Transcendental Functions 3 Examples using Properties of Logarithms.mov
Examples using the properties of logarithms.
From playlist Transcendental Functions
U-substitution with natural logarithms
👉 Learn how to evaluate the integral of a function. The integral, also called antiderivative, of a function, is the reverse process of differentiation. Integral of a function can be evaluated as an indefinite integral or as a definite integral. A definite integral is an integral in which t
From playlist The Integral
Learn how to integrate a rational expression by simplifying first with rational powers
👉 Learn how to evaluate the integral of a function. The integral, also called antiderivative, of a function, is the reverse process of differentiation. Integral of a function can be evaluated as an indefinite integral or as a definite integral. A definite integral is an integral in which t
From playlist The Integral
In this video, we simplify a logarithm.
From playlist Logs - Worked Examples
Syntax and Semantics - Benedikt Ahrens
Benedikt Ahrens Universite Nice Sophia Antipolis; Member, School of Mathematics September 25, 2012 For more videos, visit http://video.ias.edu
From playlist Mathematics
André Freitas - Building explanation machines for science: a neuro-symbolic perspective
Recorded 12 January 2023. André Freitas of the University of Manchester presents "Building explanation machines for science: a neuro-symbolic perspective" at IPAM's Explainable AI for the Sciences: Towards Novel Insights Workshop. Learn more online at: http://www.ipam.ucla.edu/programs/wor
From playlist 2023 Explainable AI for the Sciences: Towards Novel Insights
Understanding Semantic Web and its Applications by Asha Subramanian
PROGRAM SUMMER SCHOOL FOR WOMEN IN MATHEMATICS AND STATISTICS (ONLINE) ORGANIZERS: Siva Athreya (ISI-Bengaluru, India), Purvi Gupta (IISc, India), Anita Naolekar (ISI-Bengaluru, India) and Dootika Vats (IIT-Kanpur, India) DATE: 14 June 2021 to 25 June 2021 VENUE: ONLINE The summer sch
From playlist Summer School for Women in Mathematics and Statistics (ONLINE) - 2021
MIT 6.004 Computation Structures, Spring 2017 Instructor: Chris Terman View the complete course: https://ocw.mit.edu/6-004S17 YouTube Playlist: https://www.youtube.com/playlist?list=PLUl4u3cNGP62WVs95MNq3dQBqY2vGOtQ2 11.2.4 Compiler Frontend License: Creative Commons BY-NC-SA More inform
From playlist MIT 6.004 Computation Structures, Spring 2017
Marie Kerjean: Differential linear logic extended to differential operators
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
Thinking Machines: Searle's Chinese Room Argument (1984)
Professor John Searle considers the issue of whether a digital computer can think, presenting his famous Chinese Room thought experiment. This comes from John Searle's 1984 BBC Reith lectures on Minds, Brains & Science which can be found here: https://youtu.be/bij0psFO9tY More Short Video
From playlist Philosophy of Mind
Introduction to Continuous Combinatorics II: semantic limits - Leonardo Coregliano
Computer Science/Discrete Mathematics Seminar II Topic: Introduction to Continuous Combinatorics II: semantic limits Speaker: Leonardo Coregliano Affiliation: Member, School of Mathematics Date: November 09, 2021 The field of continuous combinatorics studies large (dense) combinatorial s
From playlist Mathematics
How to integrate with e in the numerator and denominator
👉 Learn how to evaluate the integral of a function. The integral, also called antiderivative, of a function, is the reverse process of differentiation. Integral of a function can be evaluated as an indefinite integral or as a definite integral. A definite integral is an integral in which t
From playlist The Integral
Overview of compiling a program
Compiling a program takes place over several stages. This video is an overview of the compilation process: scanner/lexer, parser, semantic analyzer, code generator, and optimizer. An introduction to token streams and abstract syntax trees.
From playlist Discrete Structures
Integrate using u sub with a binomial to a higher power
👉 Learn how to evaluate the integral of a function. The integral, also called antiderivative, of a function, is the reverse process of differentiation. Integral of a function can be evaluated as an indefinite integral or as a definite integral. A definite integral is an integral in which t
From playlist The Integral
Compiler Design lecture 1-- Introduction and various phases of compiler
Click for free access to Educator's best classes: : https://www.unacademy.com/a/Best-Classes-of-all-time-by-Vishvadeep-Gothi-CS.html For regular updates follow : https://unacademy.com/community/Q3ZGJY/ To purchase please click : https://unacademy.onelink.me/081J/zv9co3u1
From playlist Compiler Design
Simplified Machine Learning Workflows with Anton Antonov, Session #8: Semantic Analysis (Part 3)
Anton Antonov, a senior mathematical programmer with a PhD in applied mathematics, live-demos key Wolfram Language features that are very useful in machine learning. This session will be the part 3 where he discusses the Latent Semantic Analysis Workflows. Notebook materials are available
From playlist Simplified Machine Learning Workflows with Anton Antonov
Apply u substitution with a binomial squared
👉 Learn how to evaluate the integral of a function. The integral, also called antiderivative, of a function, is the reverse process of differentiation. Integral of a function can be evaluated as an indefinite integral or as a definite integral. A definite integral is an integral in which t
From playlist The Integral