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A characterization of finitely generated shift-invariant subspaces is given when generators are g-minimal. An algorithm is given for the determination of the coefficients in the well known representation of the Fourier transform of an…

Classical Analysis and ODEs · Mathematics 2019-06-18 K. S. Kazarian

We present a system for generating parsers based directly on the metaphor of parsing as deduction. Parsing algorithms can be represented directly as deduction systems, and a single deduction engine can interpret such deduction systems so as…

cmp-lg · Computer Science 2008-02-03 Stuart M. Shieber , Yves Schabes , Fernando C. N. Pereira

Neural networks have emerged as powerful tools across various applications, yet their decision-making process often remains opaque, leading to them being perceived as "black boxes." This opacity raises concerns about their interpretability…

Machine Learning · Computer Science 2024-11-28 Pirzada Suhail , Hao Tang , Amit Sethi

We present a novel approach for generalizing the IC3 algorithm for invariant checking from finite-state to infinite-state transition systems, expressed over some background theories. The procedure is based on a tight integration of IC3 with…

Logic in Computer Science · Computer Science 2013-10-28 Alessandro Cimatti , Alberto Griggio , Sergio Mover , Stefano Tonetta

Abstract Meaning Representation (AMR) is a Semantic Parsing formalism that aims at providing a semantic graph abstraction representing a given text. Current approaches are based on autoregressive language models such as BART or T5,…

Computation and Language · Computer Science 2023-06-26 Pavlo Vasylenko , Pere-Lluís Huguet Cabot , Abelardo Carlos Martínez Lorenzo , Roberto Navigli

We consider abstraction-based design of output-feedback controllers for dynamical systems with a finite set of inputs and outputs against specifications in linear-time temporal logic. The usual procedure for abstraction-based controller…

Systems and Control · Electrical Eng. & Systems 2020-02-10 Rupak Majumdar , Necmiye Ozay , Anne-Kathrin Schmuck

Advances in logic programming and increasing industrial uptake of Datalog-inspired approaches demonstrate the emerging need to express powerful code analyses more easily. Declarative program analysis frameworks (e.g., using logic…

Software Engineering · Computer Science 2021-12-24 Rijnard van Tonder

We propose a new framework for abstractive text summarization based on a sequence-to-sequence oriented encoder-decoder model equipped with a deep recurrent generative decoder (DRGN). Latent structure information implied in the target…

Computation and Language · Computer Science 2017-08-03 Piji Li , Wai Lam , Lidong Bing , Zihao Wang

Monitoring and analyzing process traces is a critical task for modern companies and organizations. In scenarios where there is a gap between trace events and reference business activities, this entails an interpretation problem, amounting…

Artificial Intelligence · Computer Science 2026-05-26 Bettina Fazzinga , Sergio Flesca , Filippo Furfaro , Luigi Pontieri , Francesco Scala

We give thread-modular non-relational value analyses as abstractions of a local trace semantics. The semantics as well as the analyses are formulated by means of global invariants and side-effecting constraint systems. We show that a…

Programming Languages · Computer Science 2021-08-18 Michael Schwarz , Simmo Saan , Helmut Seidl , Kalmer Apinis , Julian Erhard , Vesal Vojdani

Abstraction is a powerful idea widely used in science, to model, reason and explain the behavior of systems in a more tractable search space, by omitting irrelevant details. While notions of abstraction have matured for deterministic…

Artificial Intelligence · Computer Science 2020-01-14 Vaishak Belle

An extension of Transformers is proposed that enables explicit relational reasoning through a novel module called the Abstractor. At the core of the Abstractor is a variant of attention called relational cross-attention. The approach is…

Machine Learning · Statistics 2024-04-16 Awni Altabaa , Taylor Webb , Jonathan Cohen , John Lafferty

Abstractive summary generation is a challenging task that requires the model to comprehend the source text and generate a concise and coherent summary that captures the essential information. In this paper, we explore the use of an…

Computation and Language · Computer Science 2023-05-26 Ali Raza , Hadia Sultan Raja , Usman Maratib

At the intersection of dynamical systems, control theory, and formal methods lies the construction of symbolic abstractions: these typically represent simpler, finite-state models whose behavior mimics that of an underlying concrete system…

Systems and Control · Electrical Eng. & Systems 2024-09-27 Rudi Coppola , Andrea Peruffo , Manuel Mazo

Static analyses overwhelmingly trade precision for soundness and automation. For this reason, their use-cases are restricted to situations where imprecision isn't prohibitive. In this paper, we propose and specify a static analysis that…

Programming Languages · Computer Science 2026-02-10 Abdullah H. Rasheed

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

In the static analysis of functional programs, pushdown flow analysis and abstract garbage collection skirt just inside the boundaries of soundness and decidability. Alone, each method reduces analysis times and boosts precision by orders…

Programming Languages · Computer Science 2012-07-10 Christopher Earl , Ilya Sergey , Matthew Might , David Van Horn

Streaming generation models are utilized across fields, with the Transducer architecture being popular in industrial applications. However, its input-synchronous decoding mechanism presents challenges in tasks requiring non-monotonic…

Computation and Language · Computer Science 2025-05-29 Zhengrui Ma , Yang Feng , Min Zhang

We consider a compositional construction of approximate abstractions of interconnected control systems. In our framework, an abstraction acts as a substitute in the controller design process and is itself a continuous control system. The…

Optimization and Control · Mathematics 2018-01-03 Matthias Rungger , Majid Zamani

Abstractive text summarization aims at compressing the information of a long source document into a rephrased, condensed summary. Despite advances in modeling techniques, abstractive summarization models still suffer from several key…

Computation and Language · Computer Science 2021-02-17 Vidhisha Balachandran , Artidoro Pagnoni , Jay Yoon Lee , Dheeraj Rajagopal , Jaime Carbonell , Yulia Tsvetkov