426 research outputs found
Contradiction-tolerant process algebra with propositional signals
In a previous paper, an ACP-style process algebra was proposed in which
propositions are used as the visible part of the state of processes and as
state conditions under which processes may proceed. This process algebra,
called ACPps, is built on classical propositional logic. In this paper, we
present a version of ACPps built on a paraconsistent propositional logic which
is essentially the same as CLuNs. There are many systems that would have to
deal with self-contradictory states if no special measures were taken. For a
number of these systems, it is conceivable that accepting self-contradictory
states and dealing with them in a way based on a paraconsistent logic is an
alternative to taking special measures. The presented version of ACPps can be
suited for the description and analysis of systems that deal with
self-contradictory states in a way based on the above-mentioned paraconsistent
logic.Comment: 25 pages; 26 pages, occurrences of wrong symbol for bisimulation
equivalence replaced; 26 pages, Proposition 1 added; 27 pages, explanation of
the phrase 'in contradiction' added to section 2 and presentation of the
completeness result in section 2 improved; 27 pages, uniqueness result in
section 2 revised; 27 pages, last paragraph of section 8 revise
The Combination of Paradoxical, Uncertain, and Imprecise Sources of Information based on DSmT and Neutro-Fuzzy Inference
The management and combination of uncertain, imprecise, fuzzy and even
paradoxical or high conflicting sources of information has always been, and
still remains today, of primal importance for the development of reliable
modern information systems involving artificial reasoning. In this chapter, we
present a survey of our recent theory of plausible and paradoxical reasoning,
known as Dezert-Smarandache Theory (DSmT) in the literature, developed for
dealing with imprecise, uncertain and paradoxical sources of information. We
focus our presentation here rather on the foundations of DSmT, and on the two
important new rules of combination, than on browsing specific applications of
DSmT available in literature. Several simple examples are given throughout the
presentation to show the efficiency and the generality of this new approach.
The last part of this chapter concerns the presentation of the neutrosophic
logic, the neutro-fuzzy inference and its connection with DSmT. Fuzzy logic and
neutrosophic logic are useful tools in decision making after fusioning the
information using the DSm hybrid rule of combination of masses.Comment: 20 page
Paraconsistência em lógica hÃbrida
Mestrado em Matemática e AplicaçõesThe use of hybrid logics allows the description of relational structures, at the
same time that allows establishing accessibility relations between states and,
furthermore, nominating and making mention to what happens at speci c
states.
However, the information we collect is subject to inconsistencies, namely,
the search for di erent information sources can lead us to pick up contradictions.
Nowadays, by having so many means of dissemination available,
that happens frequently.
The aim of this work is to develop tools capable of dealing with contradictory
information that can be described as hybrid logics' formulas. To build
models, to compare inconsistency in di erent databases, and to see the applicability
of this method in day-to-day life are the basis for the development
of this dissertation.O uso de lógicas hÃbridas permite a descrição de estruturas relacionais, ao mesmo tempo que permite estabelecer relações de acessibilidade entre
estados, e, para além disso, nomear e fazer referência ao que acontece em
estados especÃficos.
No entanto, a informação que recolhemos está sujeita a inconsistências,
isto é, a procura de diferentes fontes de informação pode levar a recolha
de contradições. O que nos dias de hoje, com tantos meios de divulgação
disponÃveis, acontece frequentemente.
O objetivo deste trabalho e desenvolver ferramentas capazes de lidar com informação contraditória que possa ser descrita através de fórmulas de lógicas
hÃbridas. Construir modelos e comparar a inconsistência de diferentes bases
de dados e ver a aplicabilidade deste método no dia-a-dia são a base para
o desenvolvimento desta dissertação
Paraconsistency in hybrid logic
As in standard knowledge bases, hybrid knowledge bases (i.e. sets of information specified by hybrid formulas) may contain inconsistencies arising from different sources, namely from the many mechanisms used to collect relevant information. Being a fact, rather than a queer anomaly, inconsistency also needs to be addressed in the context of hybrid logic applications. This article introduces a paraconsistent version of hybrid logic which is able to accommodate inconsistencies at local points without implying global failure. A main feature of the resulting logic, crucial to our approach, is the fact that every hybrid formula has an equivalent formula in negation normal form. The article also provides a measure to quantify the inconsistency of a hybrid knowledge base, useful as a possible basis for comparing knowledge bases. Finally, the concepts of extrinsic and intrinsic inconsistency of a theory are discussed
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