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From an inconsistent database non-trivial arguments may be constructed both for a proposition, and for the contrary of that proposition. Therefore, inconsistency in a logical database causes uncertainty about which conclusions to accept.…

人工智能 · 计算机科学 2013-08-12 Morten Elvang-Gøransson , Paul J. Krause , John Fox

In this article we define a new reducibility based on the enumeration orders of r.e. sets.

形式语言与自动机理论 · 计算机科学 2010-03-03 Ali Akbar Safilian , Farzad Didehvar

European Law now requires AI to be explainable in the context of adverse decisions affecting European Union (EU) citizens. At the same time, it is expected that there will be increasing instances of AI failure as it operates on imperfect…

人工智能 · 计算机科学 2019-08-28 J. L. Olds , M. S. Khan , M. Nayebpour , N. Koizumi

This paper introduces a differentiable semantic reasoner, where rules are presented as a relevant set of graph transformations. These rules can be written manually or inferred by a set of facts and goals presented as a training set. While…

人工智能 · 计算机科学 2021-10-26 Alberto Cetoli

Explainability is needed to establish confidence in machine learning results. Some explainable methods take a post hoc approach to explain the weights of machine learning models, others highlight areas of the input contributing to…

机器学习 · 计算机科学 2024-07-15 Paul Whitten , Francis Wolff , Chris Papachristou

In this report, I provide a brief summary of the literature in philosophy, psychology and cognitive science about Explanatory Virtues, and link these concepts to eXplainable AI.

人工智能 · 计算机科学 2024-11-27 Ingrid Zukerman

Abstaining classifiers have the option to refrain from providing a prediction for instances that are difficult to classify. The abstention mechanism is designed to trade off the classifier's performance on the accepted data while ensuring a…

机器学习 · 计算机科学 2025-04-15 Daphne Lenders , Andrea Pugnana , Roberto Pellungrini , Toon Calders , Dino Pedreschi , Fosca Giannotti

A logic is presented for reasoning on iterated sequences of formulae over some given base language. The considered sequences, or "schemata", are defined inductively, on some algebraic structure (for instance the natural numbers, the lists,…

计算机科学中的逻辑 · 计算机科学 2012-04-16 Mnacho Echenim , Nicolas Peltier

Nonmonotonic reasoning is a pattern of reasoning that allows an agent to make and retract (tentative) conclusions from inconclusive evidence. This paper gives a possible-worlds interpretation of the nonmonotonic reasoning problem based on…

人工智能 · 计算机科学 2013-04-10 Carl Kadie

After discussing two senses in which the notion of undecidability is used, we present a survey of undecidable decision problems arising in various branches of mathematics.

逻辑 · 数学 2017-04-03 Bjorn Poonen

In many applications, it is important to be able to explain the decisions of machine learning systems. An increasingly popular approach has been to seek to provide \emph{counterfactual instance explanations}. These specify close possible…

人工智能 · 计算机科学 2021-09-22 Adam White , Artur d'Avila Garcez

This survey paper proposes a clearer view of natural language reasoning in the field of Natural Language Processing (NLP), both conceptually and practically. Conceptually, we provide a distinct definition for natural language reasoning in…

计算与语言 · 计算机科学 2023-05-16 Fei Yu , Hongbo Zhang , Prayag Tiwari , Benyou Wang

Reasoning on defeasible knowledge is a topic of interest in the area of description logics, as it is related to the need of representing exceptional instances in knowledge bases. In this direction, in our previous works we presented a…

人工智能 · 计算机科学 2021-08-10 Loris Bozzato , Thomas Eiter , Luciano Serafini

This article redefines arbitrariness not as a normative flaw or a symptom of domination, but as a foundational functional mechanism structuring human systems and interactions. Diverging from critical traditions that conflate arbitrariness…

计算与语言 · 计算机科学 2025-08-01 Naomi Omeonga wa Kayembe

Humans currently use arguments for explaining choices which are already made, or for evaluating potential choices. Each potential choice has usually pros and cons of various strengths. In spite of the usefulness of arguments in a decision…

人工智能 · 计算机科学 2012-07-19 Leila Amgoud , Henri Prade

We present a propositional logic to reason about the uncertainty of events, where the uncertainty is modeled by a set of probability measures assigning an interval of probability to each event. We give a sound and complete axiomatization…

人工智能 · 计算机科学 2014-08-08 Joseph Y. Halpern , Riccardo Pucella

We consider the explicit fragment of the basic justification stit logic introduced in earlier publications. We define a Hilbert-style axiomatic system for this logic and show that this system is strongly complete relative to the intended…

逻辑 · 数学 2017-09-21 Grigory K. Olkhovikov

Recent years have seen a boom in interest in machine learning systems that can provide a human-understandable rationale for their predictions or decisions. However, exactly what kinds of explanation are truly human-interpretable remains…

人工智能 · 计算机科学 2018-02-05 Menaka Narayanan , Emily Chen , Jeffrey He , Been Kim , Sam Gershman , Finale Doshi-Velez

The aim of this paper is to announce the release of a novel system for abstract argumentation which is based on decomposition and dynamic programming. We provide first experimental evaluations to show the feasibility of this approach.

人工智能 · 计算机科学 2016-04-20 Wolfgang Dvořák , Michael Morak , Clemens Nopp , Stefan Woltran

An extension of the notion of dinatural transformation is introduced in order to give a criterion for preservation of dinaturality under composition. An example of an application is given by proving that all bicartesian closed canonical…

范畴论 · 数学 2007-05-23 Z. Petric