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The ability of large language models to solve complex mathematical problems has progressed significantly, particularly for tasks requiring advanced reasoning. However, the scarcity of sufficiently challenging problems, particularly at the…

Computation and Language · Computer Science 2025-12-23 Xueliang Zhao , Wei Wu , Jian Guan , Lingpeng Kong

Recent advancements in large pre-trained transformer models (GPT2/3, T5) have found use in program synthesis to generate programs that satisfy a set of input/output examples. However, these models perform poorly on long-horizon and low-data…

Programming Languages · Computer Science 2022-05-20 Jack Roper

Program synthesis from incomplete specifications (e.g. input-output examples) has gained popularity and found real-world applications, primarily due to its ease-of-use. Since this technology is often used in an interactive setting,…

Programming Languages · Computer Science 2017-03-13 Vu Le , Daniel Perelman , Oleksandr Polozov , Mohammad Raza , Abhishek Udupa , Sumit Gulwani

We present a method for synthesizing recursive functions that provably satisfy a given specification in the form of a polymorphic refinement type. We observe that such specifications are particularly suitable for program synthesis for two…

Programming Languages · Computer Science 2016-04-22 Nadia Polikarpova , Ivan Kuraj , Armando Solar-Lezama

Syntax-guided synthesis is a paradigm in program synthesis in which the search space of candidate solutions is constrained by a syntactic template in the form of a grammar. These syntactic constraints serve two purposes: constraining the…

Software Engineering · Computer Science 2023-06-06 Yixuan Li , Federico Mora , Elizabeth Polgreen , Sanjit A. Seshia

LambdaBeam is a state-of-the-art, execution-guided algorithm for program synthesis that utilizes higher-order functions, lambda functions, and iterative loops within a Domain-Specific Language (DSL). LambdaBeam generates each program from…

Software Engineering · Computer Science 2024-09-13 Janis Zenkner , Lukas Dierkes , Tobias Sesterhenn , Chrisitan Bartelt

We propose a novel method for automatic program synthesis. P-Tree Programming represents the program search space through a single probabilistic prototype tree. From this prototype tree we form program instances which we evaluate on a given…

Artificial Intelligence · Computer Science 2017-07-13 Christian Oesch

Among the biggest challenges in property-based testing (PBT) is the constrained random generation problem: given a predicate on program values, randomly sample from the set of all values satisfying that predicate, and only those values.…

Programming Languages · Computer Science 2026-04-15 Harrison Goldstein , Hila Peleg , Cassia Torczon , Daniel Sainati , Leonidas Lampropoulos , Benjamin C. Pierce

We solve university level probability and statistics questions by program synthesis using OpenAI's Codex, a Transformer trained on text and fine-tuned on code. We transform course problems from MIT's 18.05 Introduction to Probability and…

Machine Learning · Computer Science 2021-11-17 Leonard Tang , Elizabeth Ke , Nikhil Singh , Nakul Verma , Iddo Drori

When people try to influence others to do something, they subconsciously adjust their speech to include appropriate emotional information. In order for a robot to influence people in the same way, the robot should be able to imitate the…

Program synthesis is the process of generating a computer program following a set of specifications, which can be a high-level description of the problem and/or a set of input-output examples. The synthesis can be modeled as a search…

Neural and Evolutionary Computing · Computer Science 2023-04-07 Matheus Campos Fernandes , Fabrício Olivetti de França , Emilio Francesquini

Semantic parsing is the task of converting natural language utterances into machine interpretable meaning representations which can be executed against a real-world environment such as a database. Scaling semantic parsing to arbitrary…

Computation and Language · Computer Science 2018-12-27 Jianpeng Cheng , Siva Reddy , Mirella Lapata

Recent developments in generative AI have shone a spotlight on high-performance synthetic text generation technologies. The now wide availability and ease of use of such models highlights the urgent need to provide equally powerful…

Computation and Language · Computer Science 2023-10-25 Alan Cowap , Yvette Graham , Jennifer Foster

GitHub Copilot, an extension for the Visual Studio Code development environment powered by the large-scale language model Codex, makes automatic program synthesis available for software developers. This model has been extensively studied in…

Software Engineering · Computer Science 2021-11-16 Dominik Sobania , Martin Briesch , Franz Rothlauf

Computing devices have recently become capable of interacting with their end users via natural language. However, they can only operate within a limited "supported" domain of discourse and fail drastically when faced with an out-of-domain…

Computation and Language · Computer Science 2019-10-29 Zhichu Lu , Forough Arabshahi , Igor Labutov , Tom Mitchell

Expert problem-solving is driven by powerful languages for thinking about problems and their solutions. Acquiring expertise means learning these languages -- systems of concepts, alongside the skills to use them. We present DreamCoder, a…

Recent advancements in natural language processing \cite{gpt2} \cite{BERT} have led to near-human performance in multiple natural language tasks. In this paper, we seek to understand whether similar techniques can be applied to a highly…

Computation and Language · Computer Science 2021-02-23 Luis Perez , Lizi Ottens , Sudharshan Viswanathan

When giving automated feedback to a student working on a beginner's exercise, many programming tutors run into a completeness problem. On the one hand, we want a student to experiment freely. On the other hand, we want a student to write…

Human-Computer Interaction · Computer Science 2020-11-17 Niek Mulleners , Johan Jeuring , Bastiaan Heeren

Program synthesis is the task of automatically deriving a program that has been specified by a user in advance. Combining automated theorem proving with program synthesis enables the automated construction of proven-to-be-correct programs,…

Logic in Computer Science · Computer Science 2026-05-20 Márton Hajdu , Petra Hozzová , Laura Kovács , Eva Maria Wagner

Idiomatic expressions are an integral part of natural language and constantly being added to a language. Owing to their non-compositionality and their ability to take on a figurative or literal meaning depending on the sentential context,…

Computation and Language · Computer Science 2021-10-20 Ziheng Zeng , Suma Bhat