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Proof-oriented programs mix computational content with proofs of program correctness. However, the human effort involved in programming and proving is still substantial, despite the use of Satisfiability Modulo Theories (SMT) solvers to…

Programming Languages · Computer Science 2024-09-06 Saikat Chakraborty , Gabriel Ebner , Siddharth Bhat , Sarah Fakhoury , Sakina Fatima , Shuvendu Lahiri , Nikhil Swamy

The success of several constraint-based modeling languages such as OPL, ZINC, or COMET, appeals for better software engineering practices, particularly in the testing phase. This paper introduces a testing framework enabling automated test…

Software Engineering · Computer Science 2015-03-17 Nadjib Lazaar , Arnaud Gotlieb , Lebbah Yahia

Current code generation evaluation measures functional correctness on well-formed inputs that satisfy all input preconditions. This paradigm has a critical limitation: task descriptions often leave these preconditions implicit, while…

Artificial Intelligence · Computer Science 2026-04-21 Soohan Lim , Joonghyuk Hahn , Hyunwoo Park , Sang-Ki Ko , Yo-Sub Han

Code execution is a fundamental aspect of programming language semantics that reflects the exact behavior of the code. However, most pre-trained models for code intelligence ignore the execution trace and only rely on source code and…

Programming Languages · Computer Science 2023-05-10 Chenxiao Liu , Shuai Lu , Weizhu Chen , Daxin Jiang , Alexey Svyatkovskiy , Shengyu Fu , Neel Sundaresan , Nan Duan

In this paper we deal with verification of safety properties of term-rewriting systems. The verification problem is translated to a purely logical problem of finding a finite countermodel for a first-order formula, which further resolved by…

Logic in Computer Science · Computer Science 2011-07-05 Alexei Lisitsa

Language models (LMs) can generate code but cannot guarantee its correctness$\unicode{x2014}$often producing outputs that violate type safety, program invariants, or other semantic properties. Constrained decoding offers a solution by…

Programming Languages · Computer Science 2025-12-03 Shaan Nagy , Timothy Zhou , Nadia Polikarpova , Loris D'Antoni

The utilization of programming language (PL) models, pre-trained on large-scale code corpora, as a means of automating software engineering processes has demonstrated considerable potential in streamlining various code generation tasks such…

Machine Learning · Computer Science 2023-07-21 Parshin Shojaee , Aneesh Jain , Sindhu Tipirneni , Chandan K. Reddy

Higher-order rewriting is a framework in which one can write higher-order programs and study their properties. One such property is termination: the situation that for all inputs, the program eventually halts its execution and produces an…

Logic in Computer Science · Computer Science 2023-08-08 Niels van der Weide , Deivid Vale , Cynthia Kop

While Large Language Models (LLMs) excel at code generation by learning from vast code corpora, a fundamental semantic gap remains between their training on textual patterns and the goal of functional correctness, which is governed by…

Software Engineering · Computer Science 2026-04-23 Xue Jiang , Yihong Dong , Mengyang Liu , Hongyi Deng , Tian Wang , Yongding Tao , Rongyu Cao , Binhua Li , Zhi Jin , Wenpin Jiao , Fei Huang , Yongbin Li , Ge Li

Exactly solving first-order constraints (i.e., first-order formulas over a certain predefined structure) can be a very hard, or even undecidable problem. In continuous structures like the real numbers it is promising to compute approximate…

Logic in Computer Science · Computer Science 2007-05-23 Stefan Ratschan

Many security and software testing applications require checking whether certain properties of a program hold for any possible usage scenario. For instance, a tool for identifying software vulnerabilities may need to rule out the existence…

Software Engineering · Computer Science 2018-05-03 Roberto Baldoni , Emilio Coppa , Daniele Cono D'Elia , Camil Demetrescu , Irene Finocchi

Formal verification of memory-manipulating programs critically depends on precise function specifications that capture memory states written by experts. This requirement has become a major bottleneck as large language models (LLMs)…

Software Engineering · Computer Science 2026-03-17 Liao Zhang , Tong Chen , Xiwei Wu , Qi Liu , Xiyu Zhai , Xinqi Wang , Qinxiang Cao

A distributed protocol is typically modeled as a set of communicating processes, where each process is described as an extended state machine along with fairness assumptions, and its correctness is specified using safety and liveness…

Formal Languages and Automata Theory · Computer Science 2015-05-19 Rajeev Alur , Mukund Raghothaman , Christos Stergiou , Stavros Tripakis , Abhishek Udupa

We describe a technique for systematic testing of multi-threaded programs. We combine Quasi-Optimal Partial-Order Reduction, a state-of-the-art technique that tackles path explosion due to interleaving non-determinism, with symbolic…

Programming Languages · Computer Science 2020-07-23 Daniel Schemmel , Julian Büning , César Rodríguez , David Laprell , Klaus Wehrle

The rise of reasoning models necessitates large-scale verifiable data, for which programming tasks serve as an ideal source. However, while competitive programming platforms provide abundant problems and solutions, high-quality test cases…

Software Engineering · Computer Science 2026-01-21 Jianfeng Cai , Jinhua Zhu , Ruopei Sun , Kangwen Zhao , Dongyun Xue , Mingxiao Feng , Wengang Zhou , Houqiang Li

This paper describes a generalization of Clark's completion that is applicable to logic programs containing arithmetic operations and produces syntactically simple, natural looking formulas. If a set of first-order axioms is equivalent to…

Logic in Computer Science · Computer Science 2023-05-25 Vladimir Lifschitz

Recent developments in termination analysis for declarative programs emphasize the use of appropriate models for the logical theory representing the program at stake as a generic approach to prove termination of declarative programs. In…

Programming Languages · Computer Science 2015-12-23 Salvador Lucas

Program synthesis is the task of automatically generating a program consistent with a specification. Recent years have seen proposal of a number of neural approaches for program synthesis, many of which adopt a sequence generation paradigm…

Machine Learning · Computer Science 2018-05-23 Rudy Bunel , Matthew Hausknecht , Jacob Devlin , Rishabh Singh , Pushmeet Kohli

Higher-order constructs extend the expressiveness of first-order (Constraint) Logic Programming ((C)LP) both syntactically and semantically. At the same time assertions have been in use for some time in (C)LP systems helping programmers…

Programming Languages · Computer Science 2014-04-17 Nataliia Stulova , José F. Morales , Manuel V. Hermenegildo

Currently, large pre-trained language models are widely applied in neural code completion systems. Though large code models significantly outperform their smaller counterparts, around 70\% of displayed code completions from Github Copilot…

Software Engineering · Computer Science 2024-08-12 Zhensu Sun , Xiaoning Du , Fu Song , Shangwen Wang , Mingze Ni , Li Li , David Lo