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Linear logic was conceived in 1987 by Girard and, in contrast to classical logic, restricts the usage of the structural inference rules of weakening and contraction. With this, atoms of the logic are no longer interpreted as truth, but as…

Logic in Computer Science · Computer Science 2021-10-04 Florian Chudigiewitsch

Separation Logic is a widely used formalism for describing dynamically allocated linked data structures, such as lists, trees, etc. The decidability status of various fragments of the logic constitutes a long standing open problem. Current…

Logic in Computer Science · Computer Science 2013-04-02 Radu Iosif , Adam Rogalewicz , Jiri Simacek

A principled approach to the design of program verification and con- struction tools is applied to separation logic. The control flow is modelled by power series with convolution as separating conjunction. A generic construction lifts…

Logic in Computer Science · Computer Science 2014-10-17 Brijesh Dongol , Victor B. F. Gomes , Georg Struth

In recent years, the rise of deep learning and automation requirements in the software industry has elevated Intelligent Software Engineering to new heights. The number of approaches and applications in code understanding is growing, with…

Software Engineering · Computer Science 2022-05-04 Ruoting Wu , Yuxin Zhang , Qibiao Peng , Liang Chen , Zibin Zheng

Scientists, engineers, biologists, and technology specialists universally leverage image segmentation to extract shape ensembles containing many thousands of curves representing patterns in observations and measurements. These large curve…

Computer Vision and Pattern Recognition · Computer Science 2026-01-09 Zachary Grey , Nicholas Fisher , Andrew Glaws

Program correctness (in imperative and functional programming) splits in logic programming into correctness and completeness. Completeness means that a program produces all the answers required by its specification. Little work has been…

Logic in Computer Science · Computer Science 2014-11-13 Wlodzimierz Drabent

Many software analysis methods have come to rely on machine learning approaches. Code segmentation - the process of decomposing source code into meaningful blocks - can augment these methods by featurizing code, reducing noise, and limiting…

Software Engineering · Computer Science 2019-07-23 Jacob Dormuth , Ben Gelman , Jessica Moore , David Slater

Large language models (LLMs) are increasingly used for program verification, and yet little is known about \emph{how} they reason about program semantics during this process. In this work, we focus on abstract interpretation based-reasoning…

Machine Learning · Computer Science 2025-10-01 Jacqueline L. Mitchell , Brian Hyeongseok Kim , Chenyu Zhou , Chao Wang

Formal specifications play a pivotal role in accurately characterizing program behaviors and ensuring software correctness. In recent years, leveraging large language models (LLMs) for the automatic generation of program specifications has…

Software Engineering · Computer Science 2026-02-03 Zehan Chen , Long Zhang , Zhiwei Zhang , JingJing Zhang , Ruoyu Zhou , Yulong Shen , JianFeng Ma , Lin Yang

We present a theory of parameterized dynamic logic, namely DLp, for specifying and reasoning about a rich set of program models based on their transitional behaviours. Different from most dynamic logics that deal with regular expressions or…

Logic in Computer Science · Computer Science 2025-01-30 Yuanrui Zhang

We introduce a new data structure for answering connectivity queries in undirected graphs subject to batched vertex failures. Precisely, given any graph G and integer k, we can in fixed-parameter time construct a data structure that can…

Data Structures and Algorithms · Computer Science 2021-11-09 Michał Pilipczuk , Nicole Schirrmacher , Sebastian Siebertz , Szymon Toruńczyk , Alexandre Vigny

Data analyses are often constructed in an imperative manner, where commands representing actions taken on the data are issued sequentially. The publication of these commands, along with the data, is essential to the reproducibility of the…

Other Statistics · Statistics 2026-03-12 Roger D. Peng

The logic programming paradigm provides the basis for a new intensional view of higher-order notions. This view is realized primarily by employing the terms of a typed lambda calculus as representational devices and by using a richer form…

Programming Languages · Computer Science 2007-05-23 Gopalan Nadathur

We present a logical framework for the verification of relational properties in imperative programs. Our work is motivated by relational properties which come from security applications and often require reasoning about formulas with…

Logic in Computer Science · Computer Science 2019-08-13 Gilles Barthe , Renate Eilers , Pamina Georgiou , Bernhard Gleiss , Laura Kovacs , Matteo Maffei

Fact checking is a challenging task because verifying the truthfulness of a claim requires reasoning about multiple retrievable evidence. In this work, we present a method suitable for reasoning about the semantic-level structure of…

Computation and Language · Computer Science 2020-04-28 Wanjun Zhong , Jingjing Xu , Duyu Tang , Zenan Xu , Nan Duan , Ming Zhou , Jiahai Wang , Jian Yin

Fact-checking real-world claims often requires collecting multiple pieces of evidence and applying complex multi-step reasoning. In this paper, we present Program-Guided Fact-Checking (ProgramFC), a novel fact-checking model that decomposes…

Computation and Language · Computer Science 2023-05-23 Liangming Pan , Xiaobao Wu , Xinyuan Lu , Anh Tuan Luu , William Yang Wang , Min-Yen Kan , Preslav Nakov

We present Alias Refinement Types (ART), a new approach to the verification of correctness properties of linked data structures. While there are many techniques for checking that a heap-manipulating program adheres to its specification,…

Programming Languages · Computer Science 2015-11-03 Alexander Bakst , Ranjit Jhala

Mechanized verification of liveness properties for infinite programs with effects and nondeterminism is challenging. Existing temporal reasoning frameworks operate at the level of models such as traces and automata. Reasoning happens at a…

Programming Languages · Computer Science 2025-08-22 Eleftherios Ioannidis , Yannick Zakowski , Steve Zdancewic , Sebastian Angel

We present ShapeLib, the first method that leverages the priors of LLMs to design libraries of programmatic 3D shape abstractions. Our system accepts two forms of design intent: text descriptions of functions to include in the library and a…

Computer Vision and Pattern Recognition · Computer Science 2025-06-23 R. Kenny Jones , Paul Guerrero , Niloy J. Mitra , Daniel Ritchie

Shape is an important physical property of natural and manmade 3D objects that characterizes their external appearances. Understanding differences between shapes and modeling the variability within and across shape classes, hereinafter…

Graphics · Computer Science 2018-12-27 Hamid Laga
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