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The mathematical framework of Stone duality is used to synthesize a number of hitherto separate developments in Theoretical Computer Science: - Domain Theory, the mathematical theory of computation introduced by Scott as a foundation for…

计算机科学中的逻辑 · 计算机科学 2011-12-05 Samson Abramsky

Functional constraints and bi-functional constraints are an important constraint class in Constraint Programming (CP) systems, in particular for Constraint Logic Programming (CLP) systems. CP systems with finite domain constraints usually…

人工智能 · 计算机科学 2010-06-17 Yuanlin Zhang , Roland H. C. Yap

Explaining opaque Machine Learning (ML) models has become an increasingly important challenge. However, current eXplanation in AI (XAI) methods suffer several shortcomings, including insufficient abstraction, limited user interactivity, and…

计算机与社会 · 计算机科学 2026-03-02 Laura State , Salvatore Ruggieri , Franco Turini

Separation Logic with inductive definitions is a well-known approach for deductive verification of programs that manipulate dynamic data structures. Deciding verification conditions in this context is usually based on user-provided lemmas…

计算机科学中的逻辑 · 计算机科学 2015-07-21 Constantin Enea , Mihaela Sighireanu , Zhilin Wu

Literature on Constraint Satisfaction exhibits the definition of several structural properties that can be possessed by CSPs, like (in)consistency, substitutability or interchangeability. Current tools for constraint solving typically…

人工智能 · 计算机科学 2014-01-16 Lucas Bordeaux , Marco Cadoli , Toni Mancini

In order to give appropriate semantics to qualitative conditionals of the form "if A then normally B", ordinal conditional functions (OCFs) ranking the possible worlds according to their degree of plausibility can be used. An OCF accepting…

人工智能 · 计算机科学 2011-08-31 Christoph Beierle , Gabriele Kern-Isberner , Karl Södler

Programs must be correct with respect to their application domain. Yet, the program specification and verification approaches so far only consider correctness in terms of computations. In this work, we present a two-tier Hoare Logic that…

计算机科学中的逻辑 · 计算机科学 2024-02-02 Eduard Kamburjan , Dilian Gurov

We introduce a temporal model for reasoning on disjunctive metric constraints on intervals and time points in temporal contexts. This temporal model is composed of a labeled temporal algebra and its reasoning algorithms. The labeled…

人工智能 · 计算机科学 2011-06-01 F. Barber

Here we define a new unification algorithm for terms interpreted in semantic domains denoted by a subclass of regular types here called deterministic regular types. This reflects our intention not to handle the semantic universe as a…

计算机科学中的逻辑 · 计算机科学 2025-02-14 João Barbosa , Mário Florido , Vítor Santos Costa

Many object-oriented dynamic languages allow programmers to _extract methods_ from objects and treat them as functions. This allows for flexible programming patterns, but presents challenges for type systems. In particular, a simple…

编程语言 · 计算机科学 2021-11-23 Yuquan Fu , Sam Tobin-Hochstadt

Proof search has been used to specify a wide range of computation systems. In order to build a framework for reasoning about such specifications, we make use of a sequent calculus involving induction and co-induction. These proof principles…

计算机科学中的逻辑 · 计算机科学 2009-09-30 Alwen Tiu , Alberto Momigliano

Boolean functions can be used to express the groundness of, and trace grounding dependencies between, program variables in (constraint) logic programs. In this paper, a variety of issues pertaining to the efficient Prolog implementation of…

编程语言 · 计算机科学 2007-05-23 Jacob M. Howe , Andy King

Issues of safety, explainability, and efficiency are of increasing concern in learning systems deployed with hard and soft constraints. Symbolic Constrained Learning and Knowledge Distillation techniques have shown promising results in this…

人工智能 · 计算机科学 2024-05-28 Miguel Angel Mendez-Lucero , Enrique Bojorquez Gallardo , Vaishak Belle

The automatic generation of decision trees based on off-line reasoning on models of a domain is a reasonable compromise between the advantages of using a model-based approach in technical domains and the constraints imposed by embedded…

人工智能 · 计算机科学 2011-06-28 L. Console , C. Picardi , D. Theseider Duprè

We phrase parsing with context-free expressions as a type inhabitation problem where values are parse trees and types are context-free expressions. We first show how containment among context-free and regular expressions can be reduced to a…

形式语言与自动机理论 · 计算机科学 2017-08-25 Martin Sulzmann , Peter Thiemann

Autonomous systems control many tasks in our daily lives. To increase trust in those systems and safety of the interaction between humans and autonomous systems, the system behaviour and reasons for autonomous decision should be explained…

软件工程 · 计算机科学 2022-09-29 Maike Schwammberger , Verena Klös

A magic value in a program is a constant symbol that is essential for the execution of the program but has no clear explanation for its choice. Learning programs with magic values is difficult for existing program synthesis approaches. To…

机器学习 · 计算机科学 2022-10-04 Céline Hocquette , Andrew Cropper

Explainable components in XAI algorithms often come from a familiar set of models, such as linear models or decision trees. We formulate an approach where the type of explanation produced is guided by a specification. Specifications are…

机器学习 · 计算机科学 2020-12-15 Harish Naik , György Turán

Transformers have recently been shown to be capable of reliably performing logical reasoning over facts and rules expressed in natural language, but abductive reasoning - inference to the best explanation of an unexpected observation - has…

计算与语言 · 计算机科学 2022-03-24 Nathan Young , Qiming Bao , Joshua Bensemann , Michael Witbrock

Inductive and coinductive specifications are widely used in formalizing computational systems. Such specifications have a natural rendition in logics that support fixed-point definitions. Another useful formalization device is that of…

计算机科学中的逻辑 · 计算机科学 2012-04-30 David Baelde , Gopalan Nadathur
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