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Value independence is enormously beneficial for reasoning about software systems at scale. These benefits carry over into the world of formal verification. Reasoning about programs algebraically is a simple affair in a proof assistant,…

编程语言 · 计算机科学 2026-02-09 Liam O'Connor , Pilar Selene Linares Arevalo , Christine Rizkallah

Users of program analyses expect that results change predictably in response to changes in their programs, but many analyses fail to provide such robustness. This paper introduces a theoretical framework that provides a unified language to…

编程语言 · 计算机科学 2026-04-14 Zachary Kincaid , Shaowei Zhu

We study the framework of abductive logic programming extended with integrity constraints. For this framework, we introduce a new measure of the simplicity of an explanation based on its degree of \emph{arbitrariness}: the more arbitrary…

计算机科学中的逻辑 · 计算机科学 2020-02-19 Luciano Caroprese , Irina Trubitsyna , Miroslaw Truszczynski , Ester Zumpano

Using appropriate notation systems for proofs, cut-reduction can often be rendered feasible on these notations, and explicit bounds can be given. Developing a suitable notation system for Bounded Arithmetic, and applying these bounds, all…

计算机科学中的逻辑 · 计算机科学 2007-12-11 Klaus Aehlig , Arnold Beckmann

In this thesis, we present two approaches to a rigorous mathematical and algorithmic foundation of quantitative and statistical inference in constraint-based natural language processing. The first approach, called quantitative constraint…

计算与语言 · 计算机科学 2007-05-23 Stefan Riezler

Recent developments in termination analysis for declarative programs emphasize the use of appropriate models for the logical theory representing the program at stake as a generic approach to prove termination of declarative programs. In…

编程语言 · 计算机科学 2015-12-23 Salvador Lucas

Constraint programming is a family of techniques for solving combinatorial problems, where the problem is modelled as a set of decision variables (typically with finite domains) and a set of constraints that express relations among the…

人工智能 · 计算机科学 2016-05-31 James Caldwell , Ian P. Gent , Peter Nightingale

We provide a denotational semantics for first-order logic that captures the two-level view of the computation process typical for constraint programming. At one level we have the usual program execution. At the other level an automatic…

计算机科学中的逻辑 · 计算机科学 2007-05-23 K. R. Apt , C. F. M. Vermeulen

One recurring problem in program development is that of understanding how to re-use code developed by a third party. In the context of (constraint) logic programming, part of this problem reduces to figuring out how to query a program. If…

编程语言 · 计算机科学 2007-05-23 Andy King , Lunjin Lu

Parse trees are fundamental syntactic structures in both computational linguistics and compilers construction. We argue in this paper that, in both fields, there are good incentives for model-checking sets of parse trees for some word…

计算机科学中的逻辑 · 计算机科学 2013-08-23 Anudhyan Boral , Sylvain Schmitz

Decision trees (DTs) epitomize the ideal of interpretability of machine learning (ML) models. The interpretability of decision trees motivates explainability approaches by so-called intrinsic interpretability, and it is at the core of…

人工智能 · 计算机科学 2022-10-04 Yacine Izza , Alexey Ignatiev , Joao Marques-Silva

The growing range of applications of Machine Learning (ML) in a multitude of settings motivates the ability of computing small explanations for predictions made. Small explanations are generally accepted as easier for human decision makers…

人工智能 · 计算机科学 2018-11-28 Alexey Ignatiev , Nina Narodytska , Joao Marques-Silva

Decision trees are simple, yet powerful, classification models used to classify categorical and numerical data, and, despite their simplicity, they are commonly used in operations research and management, as well as in knowledge mining.…

计算机科学中的逻辑 · 计算机科学 2020-03-13 Andrea Brunello , Guido Sciavicco , Ionel Eduard Stan

Variable or value elimination in a constraint satisfaction problem (CSP) can be used in preprocessing or during search to reduce search space size. A variable elimination rule (value elimination rule) allows the polynomial-time…

计算复杂性 · 计算机科学 2015-06-11 David A. Cohen , Martin C. Cooper , Guillaume Escamocher , Stanislav Zivny

Reliably determining system trajectories is essential in many analysis and control design approaches. To this end, an initial value problem has to be usually solved via numerical algorithms which rely on a certain software realization.…

系统与控制 · 电气工程与系统科学 2021-04-07 Grigory Devadze , Lars Flessing , Stefan Streif

Decision tree models, including random forests and gradient-boosted decision trees, are widely used in machine learning due to their high predictive performance. However, their complex structures often make them difficult to interpret,…

人工智能 · 计算机科学 2026-01-08 Akihiro Takemura , Masayuki Otani , Katsumi Inoue

Variable sharing is a fundamental property in the static analysis of logic programs, since it is instrumental for ensuring correctness and increasing precision while inferring many useful program properties. Such properties include modes,…

编程语言 · 计算机科学 2025-01-22 Daniel Jurjo-Rivas , Jose F. Morales , Pedro López-García , Manuel V. Hermenegildo

In this work we propose a multi-valued extension of logic programs under the stable models semantics where each true atom in a model is associated with a set of justifications, in a similar spirit than a set of proof trees. The main…

人工智能 · 计算机科学 2013-12-24 Pedro Cabalar , Jorge Fandinno

Most deep neural networks are considered to be black boxes, meaning their output is hard to interpret. In contrast, logical expressions are considered to be more comprehensible since they use symbols that are semantically close to natural…

机器学习 · 计算机科学 2020-12-16 Sophie Burkhardt , Jannis Brugger , Nicolas Wagner , Zahra Ahmadi , Kristian Kersting , Stefan Kramer

A logic programming paradigm which expresses solutions to problems as stable models has recently been promoted as a declarative approach to solving various combinatorial and search problems, including planning problems. In this paradigm,…

人工智能 · 计算机科学 2007-05-23 Maurice Bruynooghe