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Term rewriting systems have a simple syntax and semantics and facilitate proofs of correctness. However, they are not as popular in industry or academia as imperative languages. We define a term rewriting based abstract programming language…

Programming Languages · Computer Science 2020-07-08 David Plaisted , Lee Barnett

Our scientific knowledge is increasingly built on software output. User code which defines data analysis pipelines and computational models is essential for research in the natural and social sciences, but little is known about how to…

Software Engineering · Computer Science 2020-03-16 Maxwell Shinn

Probabilistic Programming Languages (PPLs) are a powerful tool in machine learning, allowing highly expressive generative models to be expressed succinctly. They couple complex inference algorithms, implemented by the language, with an…

Programming Languages · Computer Science 2020-10-19 Alexander Collins , Vinod Grover

Dynamic languages are praised for their flexibility and expressiveness, but static analysis often yields many false positives and verification is cumbersome for lack of structure. Hence, unit testing is the prevalent incomplete method for…

Programming Languages · Computer Science 2015-02-06 Robert Jakob , Peter Thiemann

LXG is a simple Pascal-like language. It is a functional programming language developed for studying compiler design and implementation. The language supports procedure and variable declarations, but no classes. This paper reports the…

Programming Languages · Computer Science 2010-01-08 Emil Vassev

How can we perform computations over natural language representations to solve tasks that require symbolic and numeric reasoning? We propose natural language embedded programs (NLEP) as a unifying framework for addressing math/symbolic…

Computation and Language · Computer Science 2024-04-01 Tianhua Zhang , Jiaxin Ge , Hongyin Luo , Yung-Sung Chuang , Mingye Gao , Yuan Gong , Xixin Wu , Yoon Kim , Helen Meng , James Glass

Recent frontier large language models (LLMs) have shown strong performance in identifying security vulnerabilities in large, mature open-source systems. As LLM-generated code becomes increasingly common, a natural goal is to prevent such…

Software Engineering · Computer Science 2026-05-13 Zhaorui Li , Chengyu Song

Most numerical solvers used to determine free variables of dynamical systems rely on first-order derivatives of the state of the system w.r.t. the free variables. The number of the free variables can be fairly large. One of the approaches…

Mathematical Software · Computer Science 2019-05-27 Ivan Dolgakov , Dmitry Pavlov

Large language models (LLMs) can generate executable code from natural language descriptions, but the resulting programs frequently contain bugs due to hallucinations. In the absence of formal specifications, existing approaches attempt to…

Software Engineering · Computer Science 2026-03-31 Yihan Dai , Sijie Liang , Haotian Xu , Peichu Xie , Sergey Mechtaev

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

This work introduces the novel concept of kind refinement, which we develop in the context of an explicitly polymorphic ML-like language with type-level computation. Just as type refinements embed rich specifications by means of…

Programming Languages · Computer Science 2019-08-02 Luís Caires , Bernardo Toninho

This paper presents Gemini, a functional programming language for hardware description that provides features such as parametric polymorphism, recursive datatypes, higher-order functions, and type inference for higher expressivity compared…

Programming Languages · Computer Science 2019-11-12 Aditya Srinivasan , Andrew D. Hilton

This paper explores how natural-language descriptions of formal languages can be compared to their formal representations and how semantic differences can be explained. This is motivated from educational scenarios where learners describe a…

Formal Languages and Automata Theory · Computer Science 2026-02-24 Tristan Kneisel , Marko Schmellenkamp , Fabian Vehlken , Thomas Zeume

LangPro is an automated theorem prover for natural language (https://github.com/kovvalsky/LangPro). Given a set of premises and a hypothesis, it is able to prove semantic relations between them. The prover is based on a version of analytic…

Computation and Language · Computer Science 2017-09-01 Lasha Abzianidze

The paper is devoted to showing how to systematically design a programming language in 'reverse order', i.e. from denotations to syntax. This construction is developed in an algebraic framework consisting of three many-sorted algebras: of…

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

Automated machine learning makes it easier for data scientists to develop pipelines by searching over possible choices for hyperparameters, algorithms, and even pipeline topologies. Unfortunately, the syntax for automated machine learning…

Machine Learning · Computer Science 2020-07-07 Guillaume Baudart , Martin Hirzel , Kiran Kate , Parikshit Ram , Avraham Shinnar

This paper assumes that design language plays an important role in how designers design and on the creativity of designers. Designers use and develop models as an aid to thinking, a focus for discussion and decision-making and a means of…

Artificial Intelligence · Computer Science 2020-07-16 Alain-Jérôme Fougères , Egon Ostrosi

The design and implementation of precise static analyzers for significant fragments of modern imperative languages like C, C++, Java and Python is a challenging problem. In this paper, we consider a core imperative language that has several…

Programming Languages · Computer Science 2007-06-28 Roberto Bagnara , Patricia M. Hill , Andrea Pescetti , Enea Zaffanella

Automated unit test generation is a well-known methodology aiming to reduce the developers' effort of writing tests manually. Prior research focused mainly on statically typed programming languages like Java. In practice, however,…

Software Engineering · Computer Science 2022-02-11 Stephan Lukasczyk , Gordon Fraser

We propose using natural language outlines as a novel modality and interaction surface for providing AI assistance to developers throughout the software development process. An NL outline for a code function comprises multiple statements…