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In this paper, we identify a fragment of second-order logic with restricted quantification that is expressive enough to capture numerous static analysis problems (e.g. safety proving, bug finding, termination and non-termination proving,…

Logic in Computer Science · Computer Science 2015-09-01 Cristina David , Daniel Kroening , Matt Lewis

Large Language Models (LLMs) are increasingly being used to automate programming tasks. Yet, LLMs' capabilities in reasoning about program semantics are still inadequately studied, leaving significant potential for further exploration. This…

Programming Languages · Computer Science 2025-05-30 Thanh Le-Cong , Bach Le , Toby Murray

Many recent analyses for conventional imperative programs begin by transforming programs into logic programs, capitalising on existing LP analyses and simple LP semantics. We propose using logic programs as an intermediate program…

Programming Languages · Computer Science 2020-02-19 Graeme Gange , Jorge A. Navas , Peter Schachte , Harald Sondergaard , Peter J. Stuckey

Motivated by applications in automated verification of higher-order functional programs, we develop a notion of constrained Horn clauses in higher-order logic and a decision problem concerning their satisfiability. We show that, although…

Programming Languages · Computer Science 2017-08-02 Toby Cathcart Burn , C. -H. Luke Ong , Steven J. Ramsay

We address the problem of learning a syntactic profile for a collection of strings, i.e. a set of regex-like patterns that succinctly describe the syntactic variations in the strings. Real-world datasets, typically curated from multiple…

Machine Learning · Computer Science 2019-04-17 Saswat Padhi , Prateek Jain , Daniel Perelman , Oleksandr Polozov , Sumit Gulwani , Todd Millstein

Formal semantics provides rigorous, mathematically precise definitions of programming languages, with which we can argue about program behaviour and program equivalence by formal means; in particular, we can describe and verify our…

Programming Languages · Computer Science 2020-11-23 Péter Bereczky , Dániel Horpácsi , Simon Thompson

The functional properties of a program are often specified by providing a contract for each of its functions. A contract of a function consists of a pair of formulas, called a precondition and a postcondition, which, respectively, should…

Logic in Computer Science · Computer Science 2022-11-23 Emanuele De Angelis , Fabio Fioravanti , Alberto Pettorossi , Maurizio Proietti

Syntax-guided synthesis is a paradigm in program synthesis in which the search space of candidate solutions is constrained by a syntactic template in the form of a grammar. These syntactic constraints serve two purposes: constraining the…

Software Engineering · Computer Science 2023-06-06 Yixuan Li , Federico Mora , Elizabeth Polgreen , Sanjit A. Seshia

We present a new framework and associated synthesis algorithms for program synthesis over noisy data, i.e., data that may contain incorrect/corrupted input-output examples. This framework is based on an extension of finite tree automata…

Programming Languages · Computer Science 2021-03-15 Shivam Handa , Martin Rinard

Formal verification provides strong guarantees of correctness of software, which are especially important in safety or security critical systems. Hoare logic is a widely used formalism for rigorous verification of software against…

Programming Languages · Computer Science 2021-03-11 Jayaraj Poroor

This paper presents a novel method for the automated synthesis of probabilistic programs. The starting point is a program sketch representing a finite family of finite-state Markov chains with related but distinct topologies, and a PCTL…

Logic in Computer Science · Computer Science 2021-02-01 Roman Andriushchenko , Milan Ceska , Sebastian Junges , Joost-Pieter Katoen

A program is characterized by its input model, and a formal input model can be of use in diverse areas including vulnerability analysis, reverse engineering, fuzzing and software testing, clone detection and refactoring. Unfortunately,…

Software Engineering · Computer Science 2019-12-13 Rahul Gopinath , Björn Mathis , Andreas Zeller

The usage of Rational Speech Acts (RSA) framework has been successful in building \emph{pragmatic} program synthesizers that return programs which, in addition to being logically consistent with user-generated examples, account for the fact…

Programming Languages · Computer Science 2024-07-17 Yewen Pu , Saujas Vaduguru , Priyan Vaithilingam , Elena Glassman , Daniel Fried

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

With the huge technological advances introduced by deep learning in audio & speech processing, many novel synthetic speech techniques achieved incredible realistic results. As these methods generate realistic fake human voices, they can be…

Formal, mathematically rigorous programming language semantics are the essential prerequisite for the design of logics and calculi that permit automated reasoning about concurrent programs. We propose a novel modular semantics designed to…

Programming Languages · Computer Science 2022-02-25 Crystal Chang Din , Reiner Hähnle , Ludovic Henrio , Einar Broch Johnsen , Violet Ka I Pun , Silvia Lizeth Tapia Tarifa

Synthesis is a particularly challenging problem for concurrent programs. At the same time it is a very promising approach, since concurrent programs are difficult to get right, or to analyze with traditional verification techniques. This…

Formal Languages and Automata Theory · Computer Science 2015-06-09 Anca Muscholl

Embedding models have demonstrated strong performance in tasks like clustering, retrieval, and feature extraction while offering computational advantages over generative models and cross-encoders. Benchmarks such as MTEB have shown that…

Software Engineering · Computer Science 2025-08-28 Zhuohao Li , Wenqing Chen , Jianxing Yu , Zhichao Lu

Generative artificial intelligence has revolutionized the exploration of chemical space, yet a critical bottleneck remains that a substantial fraction of generated molecules is synthetically inaccessible. Current solutions, such as post-hoc…

Artificial Intelligence · Computer Science 2025-12-24 Junren Li , Luhua Lai

We give an overview of recent techniques for implementing syntax-guided synthesis (SyGuS) algorithms in the core of Satisfiability Modulo Theories (SMT) solvers. We define several classes of synthesis conjectures and corresponding…

Logic in Computer Science · Computer Science 2017-11-30 Andrew Reynolds , Cesare Tinelli
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