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In this functional pearl, we examine the use of definitional interpreters as a basis for abstract interpretation of higher-order programming languages. As it turns out, definitional interpreters, especially those written in monadic style,…

Programming Languages · Computer Science 2017-07-18 David Darais , Nicholas Labich , Phuc C. Nguyen , David Van Horn

Automatic data abstraction is an important capability for both benchmarking machine intelligence and supporting summarization applications. In the former one asks whether a machine can `understand' enough about the meaning of input data to…

Computer Vision and Pattern Recognition · Computer Science 2019-08-09 Umar Riaz Muhammad , Yongxin Yang , Timothy M. Hospedales , Tao Xiang , Yi-Zhe Song

The relationship between abstract interpretation and partial deduction has received considerable attention and (partial) integrations have been proposed starting from both the partial deduction and abstract interpretation perspectives. In…

Programming Languages · Computer Science 2007-05-23 German Puebla , Elvira Albert , Manuel Hermenegildo

Abstraction is a desirable capability for deep learning models, which means to induce abstract concepts from concrete instances and flexibly apply them beyond the learning context. At the same time, there is a lack of clear understanding…

Machine Learning · Computer Science 2023-02-24 Shengnan An , Zeqi Lin , Bei Chen , Qiang Fu , Nanning Zheng , Jian-Guang Lou

Abstraction is a fundamental tool for reasoning about complex systems. Program abstraction has been utilized to great effect for analyzing deterministic programs. At the heart of program abstraction is the relationship between a concrete…

Artificial Intelligence · Computer Science 2017-07-17 Steven Holtzen , Todd Millstein , Guy Van den Broeck

We present an abstraction and refinement methodology for the automated controller synthesis to enforce general predefined specifications. The designed controllers require quantized (or symbolic) state information only and can be interfaced…

Optimization and Control · Mathematics 2017-09-21 Gunther Reissig , Alexander Weber , Matthias Rungger

Standard abstract model checking relies on abstract Kripke structures which approximate concrete models by gluing together indistinguishable states, namely by a partition of the concrete state space. Strong preservation for a specification…

Logic in Computer Science · Computer Science 2007-05-23 Francesco Ranzato , Francesco Tapparo

In David Schmidt's PhD work he explored the use of denotational semantics as a programming language. It was part of an effort to not only treat formal semantics as specifications but also as interpreters and input to compiler generators.…

Programming Languages · Computer Science 2013-09-23 Mads Rosendahl

Many example-guided program synthesis techniques use abstractions to prune the search space. While abstraction-based synthesis has proven to be very powerful, a domain expert needs to provide a suitable abstract domain, together with the…

Programming Languages · Computer Science 2018-04-13 Xinyu Wang , Greg Anderson , Isil Dillig , K. L. McMillan

Predictive models are fundamental to engineering reliable software systems. However, designing conservative, computable approximations for the behavior of programs (static analyses) remains a difficult and error-prone process for modern…

Programming Languages · Computer Science 2011-05-10 David Van Horn , Matthew Might

interpretation is a general methodology for building static analyses of programs. It was introduced by P. and R. Cousot in \cite{cc}. We present, in this paper, an application of a generic abstract interpretation to domain of…

Data Structures and Algorithms · Computer Science 2009-02-12 Kaninda Musumbu

Document Summarization is the procedure of generating a meaningful and concise summary of a given document with the inclusion of relevant and topic-important points. There are two approaches: one is picking up the most relevant statements…

Computation and Language · Computer Science 2023-01-19 Siddhant Porwal , Laxmi Bewoor , Vivek Deshpande

There is a vast gap in the quality of IDE tooling between static languages like Java and dynamic languages like Python or JavaScript. Modern frameworks and libraries in these languages heavily use their dynamic capabilities to achieve the…

Programming Languages · Computer Science 2024-02-01 Franciszek Piszcz

We present and evaluate a technique for computing path-sensitive interference conditions during abstract interpretation of concurrent programs. In lieu of fixed point computation, we use prime event structures to compactly represent causal…

Programming Languages · Computer Science 2017-05-02 Marcelo Sousa , César Rodríguez , Vijay D'Silva , Daniel Kroening

To tackle interpretability in deep learning, we present a novel framework to jointly learn a predictive model and its associated interpretation model. The interpreter provides both local and global interpretability about the predictive…

Machine Learning · Computer Science 2022-02-24 Jayneel Parekh , Pavlo Mozharovskyi , Florence d'Alché-Buc

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

Control-flow refinement refers to program transformations whose purpose is to make implicit control-flow explicit, and is used in the context of program analysis to increase precision. Several techniques have been suggested for different…

Programming Languages · Computer Science 2019-08-01 Jesús J. Doménech , John P. Gallagher , Samir Genaim

Approximations during program analysis are a necessary evil, as they ensure essential properties, such as soundness and termination of the analysis, but they also imply not always producing useful results. Automatic techniques have been…

Programming Languages · Computer Science 2018-12-18 Isabel Garcia-Contreras , Jose F. Morales , Manuel V. Hermenegildo

This paper presents an abstraction-refinement method to synthesize control inputs for a discrete-time piecewise linear system. The controlled system behavior satisfies a finite-word linear-time temporal objective while incurring minimal…

Optimization and Control · Mathematics 2017-09-07 Yoke Peng Leong , Pavithra Prabhakar

Abstract Interpretation approximates the semantics of a program by mimicking its concrete fixpoint computation on an abstract domain $\mathbb{A}$. The abstract (post-) fixpoint computation is classically divided into two phases: the…

Programming Languages · Computer Science 2022-06-23 Vincenzo Arceri , Isabella Mastroeni , Enea Zaffanella