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We describe several views of the semantics of a simple programming language as formal documents in the calculus of inductive constructions that can be verified by the Coq proof system. Covered aspects are natural semantics, denotational…

Logic in Computer Science · Computer Science 2007-07-10 Yves Bertot

The book is devoted to two research areas: (1) Designing programming languages along with their denotational models. A denotational model of a language consists of two many-sorted algebras - an algebra of syntax and an algebra of…

Programming Languages · Computer Science 2019-05-07 Blikle Andrzej

Rule-based reasoning is an essential part of human intelligence prominently formalized in artificial intelligence research via logic programs. Describing complex objects as the composition of elementary ones is a common strategy in computer…

Artificial Intelligence · Computer Science 2023-12-15 Christian Antic

Abstraction is a fundamental tool for reasoning about complex systems. Program abstraction has been utilized to great effect for analyzing deterministic programs. At the heart of program abstraction is the relationship between a concrete…

Artificial Intelligence · Computer Science 2017-07-17 Steven Holtzen , Todd Millstein , Guy Van den Broeck

In this article, we present a fresh perspective on language, combining ideas from various sources, but mixed in a new synthesis. As in the minimalist program, the question is whether we can formulate an elegant formalism, a universal…

Computation and Language · Computer Science 2023-03-10 Loe Feijs

Natural languages are complexly structured entities. They exhibit characterising regularities that can be exploited to link them one another. In this work, I compare two morphological aspects of languages: Written Patterns and Sentence…

Computation and Language · Computer Science 2019-07-09 Alberto Calderone

Normal forms for logic programs under stable/answer set semantics are introduced. We argue that these forms can simplify the study of program properties, mainly consistency. The first normal form, called the {\em kernel} of the program, is…

Artificial Intelligence · Computer Science 2016-08-31 Stefania Costantini , Alessandro Provetti

The Curry-Howard correspondence is about a relationship between types and programs on the one hand and propositions and proofs on the other. The implications for programming language design and program verification is an active field of…

Programming Languages · Computer Science 2015-09-15 Jørgen Steensgaard-Madsen

Logic programming is a flexible programming paradigm due to the use of predicates without a fixed data flow. To extend logic languages with the compact notation of functional programming, there are various proposals to map evaluable…

Programming Languages · Computer Science 2022-05-17 Michael Hanus

A visual programming language uses pictorial tools such as diagrams to represent its structural units and control stream. It is useful for enhancing understanding, maintenance, verification, testing, and parallelism. This paper proposes a…

Programming Languages · Computer Science 2013-04-23 Sabah Al-Fedaghi

Program synthesis techniques construct or infer programs from user-provided specifications, such as input-output examples. Yet most specifications, especially those given by end-users, leave the synthesis problem radically ill-posed,…

Artificial Intelligence · Computer Science 2020-10-22 Yewen Pu , Kevin Ellis , Marta Kryven , Josh Tenenbaum , Armando Solar-Lezama

Language sciences rely less and less on formal syntax as their base. The reason is probably its lack of psychological reality, knowingly avoided. Philosophers of science call for a paradigm shift in which explanations are by mechanisms, as…

Computation and Language · Computer Science 2022-05-26 Anat Ninio

Program synthesis aims to automatically construct human-readable programs that satisfy given task specifications, such as input/output pairs or demonstrations. Recent works have demonstrated encouraging results in a variety of domains, such…

Software Engineering · Computer Science 2023-03-13 Linghan Zhong , Ryan Lindeborg , Jesse Zhang , Joseph J. Lim , Shao-Hua Sun

We present an approach to program reasoning which inserts between a program and its verification conditions an additional layer, the denotation of the program expressed in a declarative form. The program is first translated into its…

Logic in Computer Science · Computer Science 2012-02-23 Wolfgang Schreiner

String diagrams are a graphical language used to represent processes that can be composed sequentially or in parallel, which correspond graphically to horizontal or vertical juxtaposition. In this paper we demonstrate how to compute the…

Category Theory · Mathematics 2024-04-04 Celia Rubio-Madrigal , Jules Hedges

We revisit a concept that has been central in some early stages of computer science, that of structured programming: a set of rules that an algorithm must follow in order to acquire a structure that is desirable in many aspects. While much…

Learning representation for source code is a foundation of many program analysis tasks. In recent years, neural networks have already shown success in this area, but most existing models did not make full use of the unique structural…

Software Engineering · Computer Science 2021-04-02 Wenhan Wang , Ge Li , Sijie Shen , Xin Xia , Zhi Jin

The purpose of a program analysis is to compute an abstract meaning for a program which approximates its dynamic behaviour. A compositional program analysis accomplishes this task with a divide-and-conquer strategy: the meaning of a program…

Programming Languages · Computer Science 2013-10-15 Azadeh Farzan , Zachary Kincaid

We consider the problem of parsing natural language descriptions into source code written in a general-purpose programming language like Python. Existing data-driven methods treat this problem as a language generation task without…

Computation and Language · Computer Science 2017-04-07 Pengcheng Yin , Graham Neubig

An attempt at unifying logic and functional programming is reported. As a starting point, we take the view that "logic programs" are not about logic but constitute inductive definitions of sets and relations. A skeletal language design…

Logic in Computer Science · Computer Science 2016-08-31 Lawrence C. Paulson , Andrew W. Smith
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