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Large language models (LLMs) have achieved notable success in code generation. However, they still frequently produce uncompilable output because their next-token inference procedure does not model formal aspects of code. Although…

Machine Learning · Computer Science 2025-05-09 Niels Mündler , Jingxuan He , Hao Wang , Koushik Sen , Dawn Song , Martin Vechev

Gradual typing enables programmers to combine static and dynamic typing in the same language. However, ensuring a sound interaction between the static and dynamic parts can incur significant runtime cost. In this paper, we perform a…

Programming Languages · Computer Science 2019-02-22 Michael M. Vitousek , Jeremy G. Siek , Avik Chaudhuri

We consider type inference for guarded recursive data types (GRDTs) -- a recent generalization of algebraic data types. We reduce type inference for GRDTs to unification under a mixed prefix. Thus, we obtain efficient type inference.…

Programming Languages · Computer Science 2007-05-23 Peter J. Stuckey , Martin Sulzmann

Effective program synthesis requires a way to minimise the number of candidate programs being searched. A type signature, for example, places some small restrictions on the structure of potential candidates. We introduce and motivate a…

Programming Languages · Computer Science 2019-07-15 Bruce Collie , Michael O'Boyle

Implementing automated unit tests is an important but time-consuming activity in software development. To assist developers in this task, many techniques for automating unit test generation have been developed. However, despite this effort,…

Software Engineering · Computer Science 2025-01-16 Rangeet Pan , Myeongsoo Kim , Rahul Krishna , Raju Pavuluri , Saurabh Sinha

Python's dynamic typing mechanism, while promoting flexibility, is a significant source of runtime type errors that plague large-scale software, which inspires the automatic type inference techniques. Existing type inference tools have…

Software Engineering · Computer Science 2025-12-29 Shuo Sun , Shixin Zhang , Jiwei Yan , Jun Yan , Jian Zhang

This article discusses a new technique to automatically generate test cases for object oriented programs. At the state of the art, the problem of generating adequate sets of complete test cases has not been satisfactorily solved yet. There…

Software Engineering · Computer Science 2020-05-20 Matteo Modonato

In Bayesian hierarchical models, group-level parameter arrays must be mapped to the observation axis, often using explicit indexing. In complex models with numerous incompatible data and parameter sets, this introduces the potential for…

Computation · Statistics 2025-10-31 Daniel O'Hanlon

Python's typing system has evolved pragmatically into a powerful but theoretically fragmented system, with scattered specifications. This paper proposes a formalization to address this fragmentation. The central contribution is a formal…

Programming Languages · Computer Science 2025-09-17 Andrei Nacu , Dorel Lucanu

For many compiled languages, source-level types are erased very early in the compilation process. As a result, further compiler passes may convert type-safe source into type-unsafe machine code. Type-unsafe idioms in the original source and…

Programming Languages · Computer Science 2016-03-22 Matthew Noonan , Alexey Loginov , David Cok

Motivation: Automated bug detection in dynamically typed languages such as Python is essential for maintaining code quality. The lack of mandatory type annotations in such languages can lead to errors that are challenging to identify early…

Software Engineering · Computer Science 2025-01-17 Boqi Chen , José Antonio Hernández López , Gunter Mussbacher , Dániel Varró

Large language models possess impressive capabilities in generating programs (e.g., Python) from natural language descriptions to execute robotic tasks. However, these generated programs often contain errors that violate externally given…

Artificial Intelligence · Computer Science 2025-11-10 Yunhao Yang , Neel P. Bhatt , William Ward , Zichao Hu , Joydeep Biswas , Ufuk Topcu

Gradual typing has gained popularity as a design choice for integrating static and dynamic typing within a single language. Several practical languages have adopted gradual typing to offer programmers the flexibility to annotate their…

Programming Languages · Computer Science 2026-03-09 Senxi Li , Feng Dai , Tetsuro Yamazaki , Shigeru Chiba

Strategy languages enable programmers to compose rewrite rules into strategies and control their application. This is useful in programming languages, e.g., for describing program transformations compositionally, but also in automated…

Programming Languages · Computer Science 2023-04-28 Rongxiao Fu , Ornela Dardha , Michel Steuwer

Dynamically typed languages such as JavaScript and Python have emerged as the most popular programming languages in use. Important benefits can accrue from including type annotations in dynamically typed programs. This approach to gradual…

Programming Languages · Computer Science 2021-11-16 Fangke Ye , Jisheng Zhao , Vivek Sarkar

Benefits of static type systems are well-known: they offer guarantees that no type error will occur during runtime and, inherently, inferred types serve as documentation on how functions are called. On the other hand, many type systems have…

Programming Languages · Computer Science 2020-08-31 Isabel Wingen , Philipp Körner

Although the dynamic type system of Python facilitates the developers in writing Python programs, it also brings type errors at run-time. There exist rule-based approaches for automatically repairing Python type errors. The approaches can…

Software Engineering · Computer Science 2023-06-05 Yun Peng , Shuzheng Gao , Cuiyun Gao , Yintong Huo , Michael R. Lyu

In the theory of programming languages, type inference is the process of inferring the type of an expression automatically, often making use of information from the context in which the expression appears. Such mechanisms turn out to be…

Logic in Computer Science · Computer Science 2012-05-10 Jeremy Avigad

Dependently typed programming languages allow sophisticated properties of data to be expressed within the type system. Of particular use in dependently typed programming are indexed types that refine data by computationally useful…

Logic in Computer Science · Computer Science 2015-07-01 Robert Atkey , Patricia Johann , Neil Ghani

A type description is a succinct noun compound which helps human and machines to quickly grasp the informative and distinctive information of an entity. Entities in most knowledge graphs (KGs) still lack such descriptions, thus calling for…

Computation and Language · Computer Science 2019-10-09 Jiangjie Chen , Ao Wang , Haiyun Jiang , Suo Feng , Chenguang Li , Yanghua Xiao