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This article surveys the System Level Synthesis framework, which presents a novel perspective on constrained robust and optimal controller synthesis for linear systems. We show how SLS shifts the controller synthesis task from the design of…

Optimization and Control · Mathematics 2019-04-04 James Anderson , John C. Doyle , Steven Low , Nikolai Matni

When writing programs, people have the ability to tackle a new complex task by decomposing it into smaller and more familiar subtasks. While it is difficult to measure whether neural program synthesis methods have similar capabilities, what…

Machine Learning · Computer Science 2023-10-31 Kensen Shi , Joey Hong , Manzil Zaheer , Pengcheng Yin , Charles Sutton

Large pre-trained language models have been used to generate code,providing a flexible interface for synthesizing programs from natural language specifications. However, they often violate syntactic and semantic rules of their output…

Machine Learning · Computer Science 2022-01-28 Gabriel Poesia , Oleksandr Polozov , Vu Le , Ashish Tiwari , Gustavo Soares , Christopher Meek , Sumit Gulwani

Successfully synthesizing controllers for complex dynamical systems and specifications often requires leveraging domain knowledge as well as making difficult computational or mathematical tradeoffs. This paper presents a flexible and…

Systems and Control · Computer Science 2019-05-24 Eric S. Kim , Murat Arcak , Sanjit A. Seshia

This paper proposes relational program synthesis, a new problem that concerns synthesizing one or more programs that collectively satisfy a relational specification. As a dual of relational program verification, relational program synthesis…

Programming Languages · Computer Science 2018-09-12 Yuepeng Wang , Xinyu Wang , Isil Dillig

We present a new approach to example-guided program synthesis based on counterexample-guided abstraction refinement. Our method uses the abstract semantics of the underlying DSL to find a program $P$ whose abstract behavior satisfies the…

Programming Languages · Computer Science 2017-10-24 Xinyu Wang , Isil Dillig , Rishabh Singh

A wide range of engineering applications uses optimisation techniques as part of their solution process. The researcher uses specialized software that implements well-known optimisation techniques to solve his problem. However, when it…

Large language models augmented with task-relevant documents have demonstrated impressive performance on knowledge-intensive tasks. However, regarding how to obtain effective documents, the existing methods are mainly divided into two…

Computation and Language · Computer Science 2023-10-10 Zhangyin Feng , Xiaocheng Feng , Dezhi Zhao , Maojin Yang , Bing Qin

High-level synthesis, source-to-source compilers, and various Design Space Exploration techniques for pragma insertion have significantly improved the Quality of Results of generated designs. These tools offer benefits such as reduced…

Software Engineering · Computer Science 2025-03-04 Stéphane Pouget , Louis-Noël Pouchet , Jason Cong

In this paper, we survey the complexity of distinct methods that allow the programmer to synthesize a sup-interpretation, a function providing an upper- bound on the size of the output values computed by a program. It consists in a static…

Computational Complexity · Computer Science 2012-11-29 Romain Péchoux

Applications in science and engineering often require huge computational resources for solving problems within a reasonable time frame. Parallel supercomputers provide the computational infrastructure for solving such problems. A…

Distributed, Parallel, and Cluster Computing · Computer Science 2007-05-23 Rajesh Sudarsan , Calvin J. Ribbens

Traditional code instruction data synthesis methods suffer from limited diversity and poor logic. We introduce Infinite-Instruct, an automated framework for synthesizing high-quality question-answer pairs, designed to enhance the code…

Computation and Language · Computer Science 2025-05-30 Wenjing Xing , Wenke Lu , Yeheng Duan , Bing Zhao , Zhenghui kang , Yaolong Wang , Kai Gao , Lei Qiao

This paper addresses the problem of creating simplifiers for logic formulas based on conditional term rewriting. In particular, the paper focuses on a program synthesis application where formula simplifications have been shown to have a…

Programming Languages · Computer Science 2016-02-24 Rohit Singh , Armando Solar-Lezama

We propose a method for automatically generating abstract transformers for static analysis by abstract interpretation. The method focuses on linear constraints on programs operating on rational, real or floating-point variables and…

Programming Languages · Computer Science 2010-07-28 David Monniaux

Automatically creating a computer program using input-output examples can be a challenging task, especially when trying to synthesize computer programs that require loops or recursion. Even though the use of recursion can make the…

Programming Languages · Computer Science 2024-06-04 Matheus Campos Fernandes , Fabrício Olivetti de França , Emilio Francesquini

Synthesizing programs from examples requires searching over a vast, combinatorial space of possible programs. In this search process, a key challenge is representing the behavior of a partially written program before it can be executed, to…

Programming Languages · Computer Science 2021-04-21 Maxwell Nye , Yewen Pu , Matthew Bowers , Jacob Andreas , Joshua B. Tenenbaum , Armando Solar-Lezama

This paper provides a general account of the notion of recursive program schemes, studying both uninterpreted and interpreted solutions. It can be regarded as the category-theoretic version of the classical area of algebraic semantics. The…

Logic in Computer Science · Computer Science 2011-01-26 Stefan Milius , Lawrence S. Moss

The pursuit of diverse, complex, and large-scale instruction data is crucial for automatically aligning large language models (LLMs). While there are methods capable of generating synthetic instructions at scale, they either suffer from…

Computation and Language · Computer Science 2025-06-05 Chiwei Zhu , Benfeng Xu , Xiaorui Wang , Zhendong Mao

Template metaprogramming is a popular technique for implementing compile time mechanisms for numerical computing. We demonstrate how expression templates can be used for compile time symbolic differentiation of algebraic expressions in C++…

Symbolic Computation · Computer Science 2017-05-05 Drosos Kourounis , Leonidas Gergidis , Michael Saunders , Andrea Walther , Olaf Schenk

The rise of multi-paradigm languages challenges traditional classification methods, leading to practical software engineering issues like interoperability defects. This systematic literature review (SLR) maps the formal foundations of…

Programming Languages · Computer Science 2025-08-04 Mikel Vandeloise