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Ensuring software correctness remains a fundamental challenge in formal program verification. One promising approach relies on finding polynomial invariants for loops. Polynomial invariants are properties of a program loop that hold before…

Programming Languages · Computer Science 2025-09-30 Erdenebayar Bayarmagnai , Fatemeh Mohammadi , Rémi Prébet

Code editing is essential in evolving software development. Many automated code editing tools have been proposed that leverage both Information Retrieval-based techniques and Machine Learning-based code generation and code editing models.…

Software Engineering · Computer Science 2024-02-27 Changshu Liu , Pelin Cetin , Yogesh Patodia , Saikat Chakraborty , Yangruibo Ding , Baishakhi Ray

Equational reasoning is among the most important tools that functional programming provides us. Curiously, relatively less attention has been paid to reasoning about monadic programs. In this report we derive a backtracking algorithm for…

Programming Languages · Computer Science 2021-01-26 Shin-Cheng Mu

This paper proposes Branch & Learn, a framework for Predict+Optimize to tackle optimization problems containing parameters that are unknown at the time of solving. Given an optimization problem solvable by a recursive algorithm satisfying…

Machine Learning · Computer Science 2022-05-05 Xinyi Hu , Jasper C. H. Lee , Jimmy H. M. Lee , Allen Z. Zhong

A fundamental computational task in probabilistic programming is to infer a program's output (posterior) distribution from a given initial (prior) distribution. This problem is challenging, especially for expressive languages that feature…

Programming Languages · Computer Science 2026-01-21 Darion Haase , Kevin Batz , Adrian Gallus , Benjamin Lucien Kaminski , Joost-Pieter Katoen , Lutz Klinkenberg , Tobias Winkler

RNA cotranscriptional folding is the phenomenon in which an RNA transcript folds upon itself while being synthesized out of a gene. The oritatami system (OS) is a computation model of this phenomenon, which lets its sequence (transcript) of…

Computational Complexity · Computer Science 2019-08-14 Yo-Sub Han , Hwee Kim

Automatic programming, the task of generating computer programs compliant with a specification without a human developer, is usually tackled either via genetic programming methods based on mutation and recombination of programs, or via…

Artificial Intelligence · Computer Science 2021-02-09 Vadim Liventsev , Aki Härmä , Milan Petković

This work harnesses interpretable machine learning methods to address the challenging inverse design problem of origami-inspired systems. We show that a decision tree-random forest method is particularly suitable for fitting origami…

Soft Condensed Matter · Physics 2022-11-15 Yi Zhu , Evgueni T. Filipov

Starting with Hoare Logic over 50 years ago, numerous program logics have been devised to reason about the diverse programs encountered in the real world. This includes reasoning about computational effects, particularly those effects that…

Logic in Computer Science · Computer Science 2025-06-11 Noam Zilberstein

Rigidly and flat-foldable quadrilateral mesh origami is the class of quadrilateral mesh crease patterns with one fundamental property: the patterns can be folded from flat to fully-folded flat by a continuous one-parameter family of…

Soft Condensed Matter · Physics 2020-07-15 Fan Feng , Xiangxin Dang , Richard D. James , Paul Plucinsky

While Retrieval-Augmented Generation (RAG) is increasingly adopted to ground Large Language Models (LLMs) in software artifacts, the optimal configuration of its components remains an open question for software engineering (SE) tasks. The…

Software Engineering · Computer Science 2026-05-15 Qiang Ke , Yanjie Zhao , Hongjin Leng , Shengming Zhao , Haoyu Wang

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

This article reviews the so-called "axioms" of origami (paper folding), which are elementary single-fold operations to achieve incidences between points and lines in a sheet of paper. The geometry of reflections is applied, and exhaustive…

History and Overview · Mathematics 2017-06-09 Jorge C. Lucero

Logic Programming languages and combinational circuit synthesis tools share a common "combinatorial search over logic formulae" background. This paper attempts to reconnect the two fields with a fresh look at Prolog encodings for the…

Logic in Computer Science · Computer Science 2008-12-18 Paul Tarau , Brenda Luderman

This paper is the confluence of two streams of ideas in the literature on generating numerical invariants, namely: (1) template-based methods, and (2) recurrence-based methods. A template-based method begins with a template that contains…

Programming Languages · Computer Science 2020-03-31 Jason Breck , John Cyphert , Zachary Kincaid , Thomas Reps

A core task in process mining is process discovery which aims to learn an accurate process model from event log data. In this paper, we propose to use (block-) structured programs directly as target process models so as to establish…

Artificial Intelligence · Computer Science 2020-08-14 Dell Zhang , Alexander Kuhnle , Julian Richardson , Murat Sensoy

Toward combining inductive reasoning with perception abilities, we develop techniques for neurosymbolic program synthesis where perceptual input is first parsed by neural nets into a low-dimensional interpretable representation, which is…

Artificial Intelligence · Computer Science 2023-06-02 Hao Tang , Kevin Ellis

Optimal synthesis of reversible functions is a non-trivial problem. One of the major limiting factors in computing such circuits is the sheer number of reversible functions. Even restricting synthesis to 4-bit reversible functions results…

Quantum Physics · Physics 2010-03-10 Oleg Golubitsky , Sean M. Falconer , Dmitri Maslov

Create an idea, prototype it, evaluate if users like it, then learn. It is the circle of business. If AI can operate in all parts of the circle, it will enable rapid iteration and learning speeds for businesses. Experiment platforms that…

Software Engineering · Computer Science 2026-04-28 Jeffrey Wong , Antoine Creux

Positive linear programs (LP), also known as packing and covering linear programs, are an important class of problems that bridges computer science, operations research, and optimization. Despite the consistent efforts on this problem, all…

Data Structures and Algorithms · Computer Science 2016-11-15 Zeyuan Allen-Zhu , Lorenzo Orecchia