Abstract
A logic is called monotonic if conclusions are preserved under extensions of the premise set, or to state it more formally, if the following so-called monotonicity property holds for it.
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Bibliography
D. Batens. Dynamic Dialectical Logics, in: Paraconsistent Logic, Norman, Priest, Routley (eds), Philosophia Verlag, pp. 187–217, 1991.
G. Brewka. Cumulative Default Logic: In Defence of Nonmonotonic Inference Rules, Artificial Intelligence, 50, 183–205, 1991.
D. M. Gabbay. Labelled Deductive Systems, Oxford University Press, 1996.
D. M. Gabbay and A. Hunter. Restricted Access Logics for Inconsistent Information, Proc. 2nd European Conference on Symbolic and Quantitative Approaches to Reasoning and Uncertainty (ECSQARU-93), LNCS 747, Granada, Spain, pp. 137–144, 1993.
J. de Kleer. An Assumption-based Truth Maintenance System, Artificial Intelligence, 28, 127–162, 1986.
J. McCarthy. Circumscription — A Form of Non-Monotonic Reasoning, Artificial Intelligence, 13, 27–39, 1980.
J. McCarthy. Notes on Formalizing Contexts, Proc. 13th International Joint Conference in Artificial Intelligence (IJCAI-93), Chambéry, France, pp. 555–560. 1993.
M. Morreau. Allowed Arguments, Proc. 14th International Joint Conference in Artificial Intelligence (IJCAI-95), Montréal, Canada, pp. 14466–1472, 1995.
A. Nait Abdallah. The Logic of Partial Information, Springer Verlag, 1995.
Poole, 1988] D. Poole. A Logical Framework for Default Reasoning, Artificial Intelligence, 36, 2747, 1988.
D. Prawitz. Natural Deduction, Almgvist and Wiksell, 1965.
R. Reiter. A Logic for Default Reasoning, Artificial Intelligence, 13, 81–132, 1980.
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Besnard, P., Tan, YH. (2001). Context-Dependent Natural Deduction for Non-Monotonic Reasoning. In: Meyer, JJ.C., Treur, J. (eds) Dynamics and Management of Reasoning Processes. Handbook of Defeasible Reasoning and Uncertainty Management Systems, vol 6. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-1743-4_13
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DOI: https://doi.org/10.1007/978-94-017-1743-4_13
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