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A general theory of programs, programming and programming languages built up from a few concepts of elementary set theory. Derives, as theorems, properties treated as axioms by classic approaches to programming. Covers sequential and…

Programming Languages · Computer Science 2015-12-08 Bertrand Meyer

Writing parallel codes is difficult and exhibits a fundamental trade-off between abstraction and performance. The high level language abstractions designed to simplify the complexities of parallelism make certain assumptions that impacts…

Programming Languages · Computer Science 2020-10-28 Nick Brown , Ludovic Capelli , J. Mark Bull

A classical result by Floyd ("On the non-existence of a phrase structure grammar for ALGOL 60", 1962) states that the complete syntax of any sensible programming language cannot be described by the ordinary kind of formal grammars…

Formal Languages and Automata Theory · Computer Science 2020-12-08 Alexander Okhotin

Answer set programming is a prominent declarative programming paradigm used in formulating combinatorial search problems and implementing different knowledge representation formalisms. Frequently, several related and yet substantially…

Artificial Intelligence · Computer Science 2023-03-01 Yuliya Lierler

Runtime efficiency and termination are crucial properties in the studies of program verification. Instead of dealing with these issues in an ad hoc manner, it would be useful to develop a robust framework in which such properties are…

Programming Languages · Computer Science 2026-04-06 Weijun Chen , Yuxi Fu , Huan Long

Program correctness (in imperative and functional programming) splits in logic programming into correctness and completeness. Completeness means that a program produces all the answers required by its specification. Little work has been…

Logic in Computer Science · Computer Science 2014-11-13 Wlodzimierz Drabent

We study transformational program logics for correctness and incorrectness that we extend to explicitly handle both termination and nontermination. We show that the logics are abstract interpretations of the right image transformer for a…

Logic in Computer Science · Computer Science 2023-11-27 Patrick Cousot

Esoteric programming languages are challenging to learn, but their unusual features and constraints may serve to improve programming ability. From languages designed to be intentionally obtuse (e.g. INTERCAL) to others targeting artistic…

Programming Languages · Computer Science 2025-09-03 Jeremy Singer , Steve Draper

Answer Set Programming (ASP) is a powerful declarative programming paradigm commonly used for solving challenging search and optimization problems. The modeling languages of ASP are supported by sophisticated solving algorithms (solvers)…

Logic in Computer Science · Computer Science 2022-08-08 Zach Hansen

We present the PML 2 language, which provides a uniform environment for programming, and for proving properties of programs in an ML-like setting. The language is Curry-style and call-by-value, it provides a control operator (interpreted in…

Logic in Computer Science · Computer Science 2019-01-11 Rodolphe Lepigre

The main purpose of this article is to describe the taxonomy of computer languages according to the levels of abstraction. There exists so many computer languages because of so many reasons like the evolution of better computer languages…

Programming Languages · Computer Science 2013-11-15 Dr. Brijender Kahanwal

In this work, we show that both logic programming and abstract argumentation frameworks can be interpreted in terms of Nelson's constructive logic N4. We do so by formalizing, in this logic, two principles that we call non-contradictory…

Artificial Intelligence · Computer Science 2022-03-29 Jorge Fandinno , Luis Fariñas del Cerro

The use of programming languages can wax and wane across the decades. We examine the split-apply- combine pattern that is common in statistical computing, and consider how its invocation or implementation in languages like MATLAB and APL…

Programming Languages · Computer Science 2018-08-16 Jiahao Chen

This article shows a correspondence between abstract interpretation of imperative programs and the refinement calculus: in the refinement calculus, an abstract interpretation of a program is a specification which is a function. This…

Programming Languages · Computer Science 2014-06-16 Arnaud Spiwack

Formal deductive systems are very common in computer science. They are used to represent logics, programming languages, and security systems. Moreover, writing programs that manipulate them and that reason about them is important and…

Programming Languages · Computer Science 2018-05-21 Francisco Ferreira Ruiz

Automatic differentiation plays a prominent role in scientific computing and in modern machine learning, often in the context of powerful programming systems. The relation of the various embodiments of automatic differentiation to the…

Programming Languages · Computer Science 2020-02-04 Martin Abadi , Gordon D. Plotkin

Program completion is a translation from the language of logic programs into the language of first-order theories. Its original definition has been extended to programs that include integer arithmetic, accept input, and distinguish between…

Logic in Computer Science · Computer Science 2023-12-27 Jorge Fandinno , Vladimir Lifschitz , Nathan Temple

$\{log\}$ is a programming language at the intersection of Constraint Logic Programming, set programming and declarative programming. But $\{log\}$ is also a satisfiability solver for a theory of finite sets and finite binary relations.…

Logic in Computer Science · Computer Science 2021-04-19 Maximiliano Cristiá , Gianfranco Rossi

The aim of the Alma project is the design of a strongly typed constraint programming language that combines the advantages of logic and imperative programming. The first stage of the project was the design and implementation of Alma-0, a…

Logic in Computer Science · Computer Science 2007-05-23 Krzysztof R. Apt , Andrea Schaerf

This paper describes an abstract machine for linguistic formalisms that are based on typed feature structures, such as HPSG. The core design of the abstract machine is given in detail, including the compilation process from a high-level…

cmp-lg · Computer Science 2008-02-03 Shuly Wintner , Nissim Francez