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In this paper we propose an extension of Defeasible Logic to represent and compute three concepts of defeasible permission. In particular, we discuss different types of explicit permissive norms that work as exceptions to opposite…

计算机科学中的逻辑 · 计算机科学 2022-09-13 Guido Governatori , Francesco Olivieri , Antonino Rotolo , Simone Scannapieco

We address the issue of defining a semantics for deontic argumentation that supports weak permission. Some recent results show that grounded semantics do not support weak permission when there is a conflict between two obligations. We…

人工智能 · 计算机科学 2026-05-14 Guido Governatori , Antonino Rotolo

We consider the notion of weak permission as the failure to conclude that the opposite obligation. We investigate the issue from the point of non-monotonic reasoning, specifically logic programming and structured argumentation, and we show…

计算机科学中的逻辑 · 计算机科学 2024-11-19 Guido Governatori

In a ceteris-paribus semantics for deontic logic, a state of affairs where a larger set of prescriptions is respected is preferable to a state of affairs where some of them are violated. Conditional preference nets (CP-nets) are a compact…

人工智能 · 计算机科学 2020-03-25 Roberta Calegari , Andrea Loreggia , Emiliano Lorini , Francesca Rossi , Giovanni Sartor

In response to a concern raised by Horty, this paper develops a two-tiered, preference-based semantic framework for modeling defeasible conditional obligations. The paper extends a Hansson-Lewis style preference semantics for dyadic deontic…

计算机科学中的逻辑 · 计算机科学 2026-05-01 Xavier Parent

There are several contexts of non-monotonic reasoning where a priority between rules is established whose purpose is preventing conflicts. One formalism that has been widely employed for non-monotonic reasoning is the sceptical one known as…

人工智能 · 计算机科学 2012-11-26 Guido Governatori , Francesco Olivieri , Simone Scannapieco , Matteo Cristani

The use of meta-rules in logic, i.e., rules whose content includes other rules, has recently gained attention in the setting of non-monotonic reasoning: a first logical formalisation and efficient algorithms to compute the (meta)-extensions…

人工智能 · 计算机科学 2022-09-27 Francesco Olivieri , Guido Governatori , Matteo Cristani , Antonino Rotolo , Abdul Sattar

We further develop the abstract algebraic logic approach to input/output logic initiated in \cite{wollic22}, where the family of selfextensional logics was proposed as a general background environment for input/output logics. In this paper,…

A semantics is given to possibilistic logic, a logic that handles weighted classical logic formulae, and where weights are interpreted as lower bounds on degrees of certainty or possibility, in the sense of Zadeh's possibility theory. The…

人工智能 · 计算机科学 2013-03-26 Jerome Lang , Didier Dubois , Henri Prade

When deciding how to act, we must consider other agents' norms and values. However, our norms are ever-evolving. We often add exceptions or change our minds, and thus norms can conflict over time. Therefore, to maintain an accurate mental…

人工智能 · 计算机科学 2024-07-09 Taylor Olson , Roberto Salas-Damian , Kenneth D. Forbus

We study the axiomatisability of the iteration-free fragment of Propositional Dynamic Logic with Intersection and Tests. The combination of program composition, intersection and tests makes its proof-theory rather difficult. We develop a…

计算机科学中的逻辑 · 计算机科学 2016-09-15 Florian Bruse , Daniel Kernberger , Martin Lange

Many aspects of blockchain-based decentralized finance can be understood as an extension of classical distributed computing. In this paper, we trace the evolution of two interrelated notions: failure and fault-tolerance. In classical…

分布式、并行与集群计算 · 计算机科学 2021-09-28 Daniel Engel , Maurice Herlihy , Yingjie Xue

Defeasible logic is a rule-based nonmonotonic logic, with both strict and defeasible rules, and a priority relation on rules. We show that inference in the propositional form of the logic can be performed in linear time. This contrasts…

人工智能 · 计算机科学 2009-09-29 Michael J. Maher

Possibility theory offers a framework where both Lehmann's "preferential inference" and the more productive (but less cautious) "rational closure inference" can be represented. However, there are situations where the second inference does…

人工智能 · 计算机科学 2013-02-18 Salem Benferhat , Didier Dubois , Henri Prade

We extend description logics (DLs) with non-monotonic reasoning features. We start by investigating a notion of defeasible subsumption in the spirit of defeasible conditionals as studied by Kraus, Lehmann and Magidor in the propositional…

人工智能 · 计算机科学 2019-04-17 Katarina Britz , Giovanni Casini , Thomas Meyer , Kody Moodley , Uli Sattler , Ivan Varzinczak

One advantage of paraconsistent logic is that it can deal with inconsistencies without making the system trivial. However, unlike classical propositional calculus, its deductive system is limited, and the meaning of paraconsistent negation…

逻辑 · 数学 2025-10-14 Oscar Ramírez

In many real-life settings, agents must navigate dynamic environments while reasoning under incomplete information and acting on a corpus of unstable, context-dependent, and often conflicting norms. We introduce a general, non-modal,…

计算机科学中的逻辑 · 计算机科学 2025-12-23 Mario Piazza , Andrea Sabatini

This article deals with the interrelation of deontic operators in contracts -- an aspect often neglected when considering only one of the involved parties. On top of an automata-based semantics we formalise the onuses that obligations,…

计算机科学中的逻辑 · 计算机科学 2012-09-12 Gordon J. Pace , Fernando Schapachnik

This paper presents an extension of Defeasible Deontic Logic to deal with the Pragmatic Oddity problem. The logic applies three general principles: (1) the Pragmatic Oddity problem must be solved within a general logical treatment of CTD…

计算机科学中的逻辑 · 计算机科学 2022-09-13 Guido Governatori , Silvano Colombo Tosatto , Antonino Rotolo

In this paper we will see deductive systems for classical propositional and predicate logic in the calculus of structures. Like sequent systems, they have a cut rule which is admissible. In addition, they enjoy a top-down symmetry and some…

逻辑 · 数学 2009-09-29 Kai Bruennler
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