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Constraint-solving-based program invariant synthesis takes a parametric invariant template and encodes the (inductive) invariant conditions into constraints. The problem of characterizing the set of all valid parameter assignments is…

Programming Languages · Computer Science 2024-09-20 Hao Wu , Qiuye Wang , Bai Xue , Naijun Zhan , Lihong Zhi , Zhihong Yang

Automatic verification of concurrent programs faces state explosion due to the exponential possible interleavings of its sequential components coupled with large or infinite state spaces. An alternative is deductive verification, where…

Programming Languages · Computer Science 2024-01-01 Yuan Xia , Jyotirmoy V. Deshmukh , Mukund Raghothaman , Srivatsan Ravi

Automated synthesis of inductive invariants is an important problem in software verification. Once all the invariants have been specified, software verification reduces to checking of verification conditions. Although static analyses to…

Machine Learning · Computer Science 2020-07-17 Sahil Bhatia , Saswat Padhi , Nagarajan Natarajan , Rahul Sharma , Prateek Jain

Software synthesis - the process of generating complete, general-purpose programs from specifications - has become a hot research topic in the past few years. For decades the problem was thought to be insurmountable: the search space of…

Programming Languages · Computer Science 2015-10-29 Jonathan Frankle

We propose a framework for synthesizing inductive invariants for incomplete verification engines, which soundly reduce logical problems in undecidable theories to decidable theories. Our framework is based on the counter-example guided…

Programming Languages · Computer Science 2018-01-15 Daniel Neider , Pranav Garg , P. Madhusudan , Shambwaditya Saha , Daejun Park

We propose a data-driven algorithm for numerical invariant synthesis and verification. The algorithm is based on the ICE-DT schema for learning decision trees from samples of positive and negative states and implications corresponding to…

Programming Languages · Computer Science 2022-07-11 Ahmed Bouajjani , Wael-Amine Boutglay , Peter Habermehl

Loop invariants are software properties that hold before and after every iteration of a loop. As such, invariants provide inductive arguments that are key in automating the verification of program loops. The problem of generating loop…

Logic in Computer Science · Computer Science 2023-05-25 George Kenison , Laura Kovács , Anton Varonka

Program synthesis is the task of automatically generating expressions that satisfy a given specification. Program synthesis techniques have been used to automate the generation of loop invariants in code, synthesize function summaries, and…

Logic in Computer Science · Computer Science 2020-10-13 Elizabeth Polgreen , Sanjit A. Seshia

Neural ODEs are increasingly used as continuous-time models for scientific and sensor data, but unconstrained neural ODEs can drift and violate domain invariants (e.g., conservation laws), yielding physically implausible solutions. In turn,…

Machine Learning · Computer Science 2026-03-26 Fangzhou Yu , Yiqi Su , Ray Lee , Shenfeng Cheng , Naren Ramakrishnan

Inspired by a concrete industry problem we consider the input synthesis problem for hybrid systems: given a hybrid system that is subject to input from outside (also called disturbance or noise), find an input sequence that steers the…

Systems and Control · Computer Science 2016-02-22 Takumi Akazaki , Ichiro Hasuo , Kohei Suenaga

In many sequence learning tasks, such as program synthesis and document summarization, a key problem is searching over a large space of possible output sequences. We propose to learn representations of the outputs that are specifically…

Machine Learning · Computer Science 2021-08-09 Joey Hong , David Dohan , Rishabh Singh , Charles Sutton , Manzil Zaheer

Automated program repair (APR) faces the challenge of test overfitting, where generated patches pass validation tests but fail to generalize. Existing methods for patch assessment involve generating new tests or manual inspection, which can…

Software Engineering · Computer Science 2023-03-20 Thanh Le-Cong , Duc-Minh Luong , Xuan Bach D. Le , David Lo , Nhat-Hoa Tran , Bui Quang-Huy , Quyet-Thang Huynh

When proving invariance properties of a program, we face two problems. The first problem is related to the necessity of proving tautologies of considered assertion language, whereas the second manifests in the need of finding sufficiently…

Logic in Computer Science · Computer Science 2016-11-24 Steven de Oliveira , Saddek Bensalem , Virgile Prevosto

In this paper, we explore different techniques to synthesize modular invariants for synchronous code encoded as Horn clauses. Modular invariants are a set of formulas that characterizes the validity of predicates. They are very useful for…

Logic in Computer Science · Computer Science 2014-12-04 Pierre-Loic Garoche , Arie Gurfinkel , Temesghen Kahsai

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

In this paper, we present a novel approach to synthesize invariant clusters for polynomial programs. An invariant cluster is a set of program invariants that share a common structure, which could, for example, be used to save the needs for…

Systems and Control · Computer Science 2022-03-16 Qiuye Wang , Lihong Zhi , Naijun Zhan , Bai Xue , Zhi-hong Yang

Essential tasks for the verification of probabilistic programs include bounding expected outcomes and proving termination in finite expected runtime. We contribute a simple yet effective inductive synthesis approach for proving such…

Logic in Computer Science · Computer Science 2023-02-09 Kevin Batz , Mingshuai Chen , Sebastian Junges , Benjamin Lucien Kaminski , Joost-Pieter Katoen , Christoph Matheja

Our goal is to build systems which write code automatically from the kinds of specifications humans can most easily provide, such as examples and natural language instruction. The key idea of this work is that a flexible combination of…

Artificial Intelligence · Computer Science 2019-06-06 Maxwell Nye , Luke Hewitt , Joshua Tenenbaum , Armando Solar-Lezama

We present a type system and inference algorithm for a rich subset of JavaScript equipped with objects, structural subtyping, prototype inheritance, and first-class methods. The type system supports abstract and recursive objects, and is…

Programming Languages · Computer Science 2016-10-19 Satish Chandra , Colin S. Gordon , Jean-Baptiste Jeannin , Cole Schlesinger , Manu Sridharan , Frank Tip , Youngil Choi

We present a computer-aided programming approach to concurrency. The approach allows programmers to program assuming a friendly, non-preemptive scheduler, and our synthesis procedure inserts synchronization to ensure that the final program…

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