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Software implementations of controllers for physical systems are at the core of many embedded systems. The design of controllers uses the theory of dynamical systems to construct a mathematical control law that ensures that the controlled…

Systems and Control · Computer Science 2012-04-16 Rupak Majumdar , Indranil Saha , Majid Zamani

Program synthesis techniques construct or infer programs from user-provided specifications, such as input-output examples. Yet most specifications, especially those given by end-users, leave the synthesis problem radically ill-posed,…

Artificial Intelligence · Computer Science 2020-10-22 Yewen Pu , Kevin Ellis , Marta Kryven , Josh Tenenbaum , Armando Solar-Lezama

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

Formal verification provides a rigorous and systematic approach to ensure the correctness and reliability of software systems. Yet, constructing specifications for the full proof relies on domain expertise and non-trivial manpower. In view…

Software Engineering · Computer Science 2024-04-03 Cheng Wen , Jialun Cao , Jie Su , Zhiwu Xu , Shengchao Qin , Mengda He , Haokun Li , Shing-Chi Cheung , Cong Tian

We unify functional and logic programming by treating predicatesas functions equipped with their support: the set of inputs whose output is nonzero. Datalog, for instance, is a language of finitely supported boolean functions. Finite…

Programming Languages · Computer Science 2026-04-30 Michael Arntzenius , Max Willsey

In program synthesis, we transform a specification into a program that is guaranteed to satisfy the specification. In synthesis of reactive systems, the environment in which the program operates may behave nondeterministically, e.g., by…

Logic in Computer Science · Computer Science 2013-07-25 Ron van der Meyden , Moshe Y. Vardi

Mathematical reasoning remains challenging for LLMs due to complex logic and the need for precise computation. Existing methods enhance LLM reasoning by synthesizing datasets through problem rephrasing, but face issues with generation…

Computation and Language · Computer Science 2025-06-12 Lei Xu , Sirui Chen , Yuxuan Huang , Chaochao Lu

We train hierarchical Transformers on the task of synthesizing hardware circuits directly out of high-level logical specifications in linear-time temporal logic (LTL). The LTL synthesis problem is a well-known algorithmic challenge with a…

Machine Learning · Computer Science 2021-07-27 Frederik Schmitt , Christopher Hahn , Markus N. Rabe , Bernd Finkbeiner

Reactive synthesis is an automated procedure to obtain a correct-by-construction reactive system from a given specification. GR(1) is a well-known fragment of linear temporal logic (LTL) where synthesis is possible using a polynomial…

Software Engineering · Computer Science 2016-02-04 Shahar Maoz , Jan Oliver Ringert

Synthesis is the automatic construction of a system from its specification. In classical synthesis algorithms it is always assumed that the system is "constructed from scratch" rather than composed from reusable components. This, of course,…

Logic in Computer Science · Computer Science 2011-11-10 Yoad Lustig , Moshe Vardi

We introduce Logic Guided Machine Learning (LGML), a novel approach that symbiotically combines machine learning (ML) and logic solvers with the goal of learning mathematical functions from data. LGML consists of two phases, namely a…

Artificial Intelligence · Computer Science 2021-03-31 Joseph Scott , Maysum Panju , Vijay Ganesh

Inductive program synthesis, or programming by example, requires synthesizing functions from input-output examples that generalize to unseen inputs. While large language model agents have shown promise in programming tasks guided by natural…

Programming Languages · Computer Science 2025-08-11 Anjiang Wei , Tarun Suresh , Jiannan Cao , Naveen Kannan , Yuheng Wu , Kai Yan , Thiago S. F. X. Teixeira , Ke Wang , Alex Aiken

Large language models (LLMs) have enabled a range of applications in zero-shot and few-shot learning settings, including the generation of synthetic datasets for training and testing. However, to reliably use these synthetic datasets, it is…

Computation and Language · Computer Science 2024-09-19 Gaurav Maheshwari , Dmitry Ivanov , Kevin El Haddad

Logic synthesis is a challenging and widely-researched combinatorial optimization problem during integrated circuit (IC) design. It transforms a high-level description of hardware in a programming language like Verilog into an optimized…

Machine Learning · Computer Science 2021-10-25 Animesh Basak Chowdhury , Benjamin Tan , Ramesh Karri , Siddharth Garg

Program synthesis from incomplete specifications (e.g. input-output examples) has gained popularity and found real-world applications, primarily due to its ease-of-use. Since this technology is often used in an interactive setting,…

Programming Languages · Computer Science 2017-03-13 Vu Le , Daniel Perelman , Oleksandr Polozov , Mohammad Raza , Abhishek Udupa , Sumit Gulwani

Program synthesis--the automated generation of executable code from high-level specifications--has been a central goal of computer science for over fifty years. This thesis provides a comparative literature review of the main paradigms that…

Programming Languages · Computer Science 2025-08-04 Zurabi Kobaladze , Anna Arnania , Tamar Sanikidze

Two-player games are a fruitful way to represent and reason about several important synthesis tasks. These tasks include controller synthesis (where one asks for a controller for a given plant such that the controlled plant satisfies a…

Logic in Computer Science · Computer Science 2023-08-22 Stanly Samuel , Deepak D'Souza , Raghavan Komondoor

Code analysis is fundamental in Software Engineering, supporting debugging, optimization, and security assessment. Human developers approach it through syntax parsing, static semantics inference, and dynamic reasoning. Traditional tools are…

Software Engineering · Computer Science 2026-05-22 Wei Ma , Zhihao Lin , Shangqing Liu , Qiang Hu , Ye Liu , Wenhan Wang , Cen Zhang , Liming Nie , Li Li , Yang Liu , Lingxiao Jiang

Logical specifications play a key role in the formal analysis of behavioural models. Automating the derivation of such specifications is particularly valuable in complex systems, where manual construction is time-consuming and error-prone.…

Software Engineering · Computer Science 2025-06-11 Radoslaw Klimek , Julia Witek

The goal of active learning for program synthesis is to synthesize the desired program by asking targeted questions that minimize user interaction. While prior work has explored active learning in the purely symbolic setting, such…

Programming Languages · Computer Science 2025-09-01 Celeste Barnaby , Qiaochu Chen , Ramya Ramalingam , Osbert Bastani , Isil Dillig