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Large language models for code are advancing fast, yet our ability to evaluate them lags behind. Current benchmarks focus on narrow tasks and single metrics, which hide critical gaps in robustness, interpretability, fairness, efficiency,…

Programming by Example (PBE) is the task of inducing computer programs from input-output examples. It can be seen as a type of machine learning where the hypothesis space is the set of legal programs in some programming language. Recent…

Programming Languages · Computer Science 2017-03-03 John K. Feser , Marc Brockschmidt , Alexander L. Gaunt , Daniel Tarlow

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

Though many safety-critical software systems use floating point to represent real-world input and output, programmers usually have idealized versions in mind that compute with real numbers. Significant deviations from the ideal can cause…

Logic in Computer Science · Computer Science 2018-05-02 Benjamin Sherman , Luke Sciarappa , Adam Chlipala , Michael Carbin

A desired but challenging property of compiler verification is compositionality, in the sense that the compilation correctness of a program can be deduced incrementally from that of its substructures ranging from statements, functions, and…

Programming Languages · Computer Science 2026-03-31 Zhang Cheng , Jiyang Wu , Di Wang , Qinxiang Cao

We demonstrate how methods in Functional Programming can be used to implement a computer algebra system. As a proof-of-concept, we present the computational-algebra package. It is a computer algebra system implemented as an embedded…

Symbolic Computation · Computer Science 2018-10-02 Hiromi Ishii

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

While modern software development heavily uses versioned packages, programming languages rarely support the concept of versions in their semantics, which makes software updates more bulky and unsafe. This paper proposes a programming…

Programming Languages · Computer Science 2021-07-16 Yudai Tanabe , Luthfan Anshar Lubis , Tomoyuki Aotani , Hidehiko Masuhara

For deterministic and probabilistic programs we investigate the problem of program synthesis and program optimisation (with respect to non-functional properties) in the general setting of global optimisation. This approach is based on the…

Programming Languages · Computer Science 2014-07-22 Herbert Wiklicky

Pre-trained language models have demonstrated impressive performance in both natural language processing and program understanding, which represent the input as a token sequence without explicitly modeling its structure. Some prior works…

Computation and Language · Computer Science 2022-10-27 Da Shen , Xinyun Chen , Chenguang Wang , Koushik Sen , Dawn Song

We give a relational and a weakest precondition semantics for "knowledge-based programs", i.e., programs that restrict observability of variables so as to richly express changes in the knowledge of agents who can or cannot observe said…

Logic in Computer Science · Computer Science 2022-07-07 Francesco Belardinelli , Ioana Boureanu , Vadim Malvone , Solofomampionona Fortunat Rajaona

Checking the semantic equivalence of operations is an important task in software development. For instance, regression testing is a routine task performed when software systems are developed and improved, and software package managers…

Programming Languages · Computer Science 2019-09-23 Sergio Antoy , Michael Hanus

Constructor-Based Conditional Rewriting Logic is a general framework for integrating first-order functional and logic programming which gives an algebraic semantics for non-deterministic functional-logic programs. In the context of this…

Logic in Computer Science · Computer Science 2007-05-23 Juan M. Molina , Ernesto Pimentel

Identifier names convey useful information about the intended semantics of code. Name-based program analyses use this information, e.g., to detect bugs, to predict types, and to improve the readability of code. At the core of name-based…

Machine Learning · Computer Science 2021-01-15 Yaza Wainakh , Moiz Rauf , Michael Pradel

Human vision is able to compensate imperfections in sensory inputs from the real world by reasoning based on prior knowledge about the world. Machine learning has had a significant impact on computer vision due to its inherent ability in…

Artificial Intelligence · Computer Science 2020-12-18 Briti Gangopadhyay , Somnath Hazra , Pallab Dasgupta

This paper is concerned with the detection and correction of sub-sentential English text errors. Previous spelling programs, unless restricted to a very small set of words, have operated as post-processors. And to date, grammar checkers and…

cmp-lg · Computer Science 2016-08-31 Tanya Bowden

Algorithmic and data refinement are well studied topics that provide a mathematically rigorous approach to gradually introducing details in the implementation of software. Program refinements are performed in the context of some programming…

Programming Languages · Computer Science 2016-06-08 Jason Koenig , K. Rustan M. Leino

Can LLM agents explore codebases and reason about code semantics without executing the code? We study this capability, which we call agentic code reasoning, and introduce semi-formal reasoning: a structured prompting methodology that…

Software Engineering · Computer Science 2026-03-05 Shubham Ugare , Satish Chandra

Nondeterministic choice is a useful program construct that provides a way to describe the behaviour of a program without specifying the details of possible implementations. It supports the stepwise refinement of programs, a method that has…

Logic in Computer Science · Computer Science 2023-02-17 Yuan Feng , Yingte Xu

We report on the experience of developing Merlin, a language server for the OCaml programming language in development since 2013. Merlin is a daemon that connects to your favourite text editor and provides services that require a…

Programming Languages · Computer Science 2018-10-03 Frédéric Bour , Thomas Refis , Gabriel Scherer