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In this work we target the problem of provably computing the equivalence between two programs represented as dataflow graphs. To this end, we formalize the problem of equivalence between two programs as finding a set of semantics-preserving…

Machine Learning · Computer Science 2021-06-07 Steve Kommrusch , Théo Barollet , Louis-Noël Pouchet

We target the problem of automatically synthesizing proofs of semantic equivalence between two programs made of sequences of statements. We represent programs using abstract syntax trees (AST), where a given set of semantics-preserving…

Machine Learning · Computer Science 2023-07-11 Steve Kommrusch , Martin Monperrus , Louis-Noël Pouchet

Combining abstract, symbolic reasoning with continuous neural reasoning is a grand challenge of representation learning. As a step in this direction, we propose a new architecture, called neural equivalence networks, for the problem of…

Machine Learning · Computer Science 2017-06-13 Miltiadis Allamanis , Pankajan Chanthirasegaran , Pushmeet Kohli , Charles Sutton

Answer set programming is a prominent declarative programming paradigm used in formulating combinatorial search problems and implementing different knowledge representation formalisms. Frequently, several related and yet substantially…

Artificial Intelligence · Computer Science 2023-03-01 Yuliya Lierler

This paper addresses the challenging problem of retrieval and matching of graph structured objects, and makes two key contributions. First, we demonstrate how Graph Neural Networks (GNN), which have emerged as an effective model for various…

Machine Learning · Computer Science 2019-05-14 Yujia Li , Chenjie Gu , Thomas Dullien , Oriol Vinyals , Pushmeet Kohli

Automated program analysis is a pivotal research domain in many areas of Computer Science -- Formal Methods and Artificial Intelligence, in particular. Due to the undecidability of the problem of program equivalence, comparing two programs…

Software Engineering · Computer Science 2023-08-01 Pedro Orvalho , Jelle Piepenbrock , Mikoláš Janota , Vasco Manquinho

In answer set programming, two groups of rules are considered strongly equivalent if they have the same meaning in any context. Strong equivalence of two programs can be sometimes established by deriving rules of each program from rules of…

Logic in Computer Science · Computer Science 2026-01-14 Jorge Fandinno , Vladimir Lifschitz

Experimental reproducibility and replicability are critical topics in machine learning. Authors have often raised concerns about their lack in scientific publications to improve the quality of the field. Recently, the graph representation…

Machine Learning · Computer Science 2022-02-21 Federico Errica , Marco Podda , Davide Bacciu , Alessio Micheli

Verifying whether two implementations of the same large model are equivalent across frameworks is difficult in practice. Even when they realize the same computation, their graphs may differ substantially in operator decomposition, tensor…

Software Engineering · Computer Science 2026-03-24 Qi Zhan , Xing Hu , Xin Xia , Shanping Li

Reusing verification artefacts requires identifying structural and semantic similarities across programs and their specifications. In this paper, we focus on graph construction as a foundational step toward this goal. We present a pipeline…

Software Engineering · Computer Science 2026-05-18 Arshad Beg , Diarmuid O'Donoghue , Rosemary Monahan

As neural networks (NNs) are increasingly introduced into safety-critical domains, there is a growing need to formally verify NNs before deployment. In this work we focus on the formal verification problem of NN equivalence which aims to…

Machine Learning · Computer Science 2021-12-14 Samuel Teuber , Marko Kleine Büning , Philipp Kern , Carsten Sinz

Several popular language models represent local contexts in an input text $x$ as bags of words. Such representations are naturally encoded by a sequence graph whose vertices are the distinct words occurring in $x$, with edges representing…

Data Structures and Algorithms · Computer Science 2025-07-14 Sammy Khalife , Yann Ponty , Laurent Bulteau

Binary similarity analysis determines if two binary executables are from the same source program. Existing techniques leverage static and dynamic program features and may utilize advanced Deep Learning techniques. Although they have…

Software Engineering · Computer Science 2023-08-31 Xiangzhe Xu , Zhou Xuan , Shiwei Feng , Siyuan Cheng , Yapeng Ye , Qingkai Shi , Guanhong Tao , Le Yu , Zhuo Zhang , Xiangyu Zhang

As large language models (LLMs) become integral to code-related tasks, a central question emerges: Do LLMs truly understand program semantics? We introduce EquiBench, a new benchmark for evaluating LLMs through equivalence checking, i.e.,…

Machine Learning · Computer Science 2025-09-23 Anjiang Wei , Jiannan Cao , Ran Li , Hongyu Chen , Yuhui Zhang , Ziheng Wang , Yuan Liu , Thiago S. F. X. Teixeira , Diyi Yang , Ke Wang , Alex Aiken

Optimizing compilers, as well as other translator systems, often work by rewriting expressions according to equivalence preserving rules. Given an input expression and its optimized form, finding the sequence of rules that were applied is a…

Artificial Intelligence · Computer Science 2019-02-07 Romain Edelmann , Viktor Kunčak

Sequence-to-sequence (SEQ2SEQ) models have been successfully applied to automatic math word problem solving. Despite its simplicity, a drawback still remains: a math word problem can be correctly solved by more than one equations. This…

Computation and Language · Computer Science 2018-11-16 Lei Wang , Yan Wang , Deng Cai , Dongxiang Zhang , Xiaojiang Liu

Logic programs P and Q are strongly equivalent if, given any program R, programs P union R and Q union R are equivalent (that is, have the same answer sets). Strong equivalence is convenient for the study of equivalent transformations of…

Logic in Computer Science · Computer Science 2007-05-23 Hudson Turner

Recent studies have adopted pre-trained language models, such as CodeT5 and CodeGPT, for automated program generation tasks like code generation, repair, and translation. Numerous language model-based approaches have been proposed and…

Software Engineering · Computer Science 2024-01-09 Yue Liu , Chakkrit Tantithamthavorn , Yonghui Liu , Li Li

Program synthesis is the generation of a program from a specification. Correct synthesis is difficult, and methods that provide formal guarantees suffer from scalability issues. On the other hand, neural networks are able to generate…

Logic in Computer Science · Computer Science 2020-01-28 Elizabeth Polgreen , Ralph Abboud , Daniel Kroening

Determining whether two graphs are structurally identical is a fundamental problem with applications spanning mathematics, computer science, chemistry, and network science. Despite decades of study, graph isomorphism remains a challenging…

Computational Physics · Physics 2026-04-10 Sara Najem , Amer E. Mouawad
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