Abstract
In this expository paper, we discuss some applications of the paraconsistent annotated logics (PAL). PAL is a 2-sorted logic that can build a programming language allowing manipulated impreciseness, inconsistencies and paracompleteness in its interior. Also, with suitable rules, it is possible to deal with defesiable-deontic reasoning and many monotonic and non-monotonic reasoning. Also, it is useful to obtain logical frameworks for usual modal systems and in this paper we discuss aspects of them, showing the power of these logical systems.
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