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Three-valued nonmonotonic logic
The three-valued formulation of nonmonotonic logics is established. It is shown how to extend standard nonmonotonic logics to the three-valued case. It is also shown that a three-valued nonmonotonic logic called maximally ignorant (MI) logic can capture various major standard nonmonotonic logics as its special cases.
Z. Lin
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Minds and Machines, 2001
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Journal of the ACM, 1982
Tradmonal logics suffer from the "monotomclty problem"' new axioms never mvahdate old theorems One way to get nd of this problem ts to extend traditional modal logic in the following way The operator M (usually read "possible") is extended so that Mp is true whenever p is consistent with the theory Then any theorem of this form may be mvahdated if ~p ...
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Tradmonal logics suffer from the "monotomclty problem"' new axioms never mvahdate old theorems One way to get nd of this problem ts to extend traditional modal logic in the following way The operator M (usually read "possible") is extended so that Mp is true whenever p is consistent with the theory Then any theorem of this form may be mvahdated if ~p ...
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Nonmonotonicity in the Framework of Parametric Logic
Studia Logica, 2018zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Logical foundations of nonmonotonic reasoning
Artificial Intelligence Review, 1991In this paper we shall review the main approaches to nonmono- tonic reasoning which we classify from the perspective of their underlying logical settings as classical, intuitionistic, three-valuedlpartial models, and conditional. We shall be placing special emphasis on some of the promin- ent approaches.
Nadim Obeid, Raymond Turner
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Nonmonotonic default modal logics
Journal of the ACM, 1991Summary: Conclusions by failure to prove the opposite are frequently used in reasoning about an incompletely specified world. This naturally leads to logics for default reasoning that, in general, are nonmonotonic; that is, introducing new facts an invalidate previously made conclusions.
Michael L. Tiomkin, Michael Kaminski
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Nonmonotonic Logics – A Brief Overview
AI Communications, 1989In this paper we describe the most important approaches to formalize nonmonotonic reasoning, in particular default reasoning: autoepistemic logic, default logic, circumscription, Delgrandes's conditional approach, and an approach based on preferred subtheories of the premises.
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A computationally tractable nonmonotonic logic
IEEE Transactions on Knowledge and Data Engineering, 1994Nonmonotonic logic is intended to apply specifically to situations where the initial information is incomplete. Using nonmonotonic reasoning procedures we shall be able to jump to conclusions, but withdraw them later when we gain additional information. A number of nonmonotonic logics have been introduced and widely discussed.
Thomas J. Weigert, Jeffrey J. P. Tsai
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Nonmonotonic propositional logic
Frontiers of Computer Science, 2021Wei Li, Yuefei Sui, Yuhui Wang
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