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Beyond rational monotony: some strong non-horn rules for nonmonotonic inference relations

H Bezzazi
1997 Journal of Logic and Computation  
Lehmann, Magidor and others have investigated the e ects of adding the non-Horn rule of rational monotony to the rules for preferential inference in nonmonotonic reasoning.  ...  Finally, we consider brie y some curious Horn rules beyond the preferential ones but weaker than monotony, notably those which we call conjunctive insistence and n-monotony.  ...  Acknowledgements We would like to thank Michael Freund for very penetrating comments on several versions of this work and for the unpublished observations cited as personal communications in the text.  ... 
doi:10.1093/logcom/7.5.605 fatcat:23otjmtqpbbdhme3fg75bdgkji

Page 7534 of Mathematical Reviews Vol. , Issue 98M [page]

1998 Mathematical Reviews  
rational monotony: some strong non-Horn rules for nonmonotonic inference reiations.  ...  In this paper a number of non-Horn rules for inference in non- monotonic reasoning that are stronger than or incomparable with rational monotony (if a+ £ and at/7y, then aA yt f#), but are weaker than  ... 

Logical questions behind the lottery and preface paradoxes: lossy rules for uncertain inference

David Makinson
2011 Synthese  
We reflect on lessons that the lottery and preface paradoxes provide for the logic of uncertain inference.  ...  relations without that rule, the study of other rules that may nevertheless be satisfied in its absence, and a partial rehabilitation of conjunction as a 'lossy' rule.  ...  Acknowledgements Thanks to an anonymous referee who pressed for a lower bound on iterated  better than one first provided, Jim Hawthorne for collaborating on the product lower bounds for CT and  in  ... 
doi:10.1007/s11229-011-9997-2 fatcat:enfh4zfg5zhqxdpsswd6n2rlgq

El dilema de Jorgensen: la búsqueda de los fundamentos semánticos para los imperativos

Miguel A. León Untiveros, Universidad Femenina del Sagrado Corazón
Let us see, Classical logic Classical Monotony ((Σ⊆Δ)˄(Σ⊢Γ)) ⇒ (Δ⊢Γ) Non-monotonic logics Rational Monotony 1 ((Δ⊬¬φ)˄(Δ⊢ψ)) ⇒ ((Δ˄φ)⊢ψ) Cautious Monotony ((Δ⊢φ)˄(Δ⊢ψ)) ⇒ (Δ˄φ)⊢ψ) Roughly, classical  ...  well-formed formulae and semantics, and, Q: is the rules of inference.  ...  Thus, we think Horn 2 is not tenable anymore, at least, it is not as strong as it was in 1938.  ... 
doi:10.33539/phai.v15i1.98 fatcat:w7iqg373b5hrxpasot2vu5unx4

Chapter 6 Nonmonotonic Reasoning [chapter]

Gerhard Brewka, Ilkka Niemelä, Mirosław Truszczyński
2008 Foundations of Artificial Intelligence  
Acknowledgments We would like to thank Vladimir Lifschitz and Hudson Turner for helpful comments and suggestions.  ...  Theorem 27 An inference relation is rational if and only if it is preferential and satisfies Rational Monotony.  ...  The resulting relation does not in general satisfy Rational monotony, a property that arguably all bona fide nonmonotonic inference relations should satisfy.  ... 
doi:10.1016/s1574-6526(07)03006-4 fatcat:7r4l7tqgn5hfjok7yqbuxj5xwa

Dynamics of Belief: Abduction, Horn Knowledge Base And Database Updates [article]

Radhakrishnan Delhibabu
2015 arXiv   pre-print
Such a generalization of belief dynamics, referred to as base dynamics, is presented in this paper, along with the concept of a generalized revision algorithm for knowledge bases (Horn or Horn logic with  ...  The present paper provides a comparative study of view update algorithms in rational approach.  ...  Definition 39 (Update magic set rule satisfying strong minimality).  ... 
arXiv:1501.06206v2 fatcat:ktavsd2e5nf57lkv4wxbxzk4rq

From Shallow to Deep Interactions Between Knowledge Representation, Reasoning and Machine Learning (Kay R. Amel group) [article]

Zied Bouraoui and Antoine Cornuéjols and Thierry Denœux and Sébastien Destercke and Didier Dubois and Romain Guillaume and João Marques-Silva and Jérôme Mengin and Henri Prade and Steven Schockaert and Mathieu Serrurier and Christel Vrain
2019 arXiv   pre-print
Then some methodologies combining reasoning and learning are reviewed (such as inductive logic programming, neuro-symbolic reasoning, formal concept analysis, rule-based representations and ML, uncertainty  ...  Some common concerns are identified and discussed such as the types of used representation, the roles of knowledge and data, the lack or the excess of information, or the need for explanations and causal  ...  Then the rules discovered are genuine default rules that can be reused in a nonmonotonic inference system, and can be encoded in possibilistic logic (assuming rational monotony for the inference relation  ... 
arXiv:1912.06612v1 fatcat:yfnx3pzs6jhxtggaylc76pwjc4

Qualitative probabilities for default reasoning, belief revision, and causal modeling

Moisés Goldszmidt, Judea Pearl
1996 Artificial Intelligence  
Inferences are supported by a unique priority ordering on rules which is syntactically derived from the knowledge base.  ...  Practical algorithms are developed and analyzed for testing consistency, computing rule ordering, and answering queries.  ...  Acknowledgements We thank Ernest Adams, Craig Boutilier, Nir Friedman, Hector Geffner, and Kurt Konolige for insightful discussions on related topics and an anonymous reviewer for helpful comments on a  ... 
doi:10.1016/0004-3702(95)00090-9 fatcat:vfq7s4r5rfbpbbd5esue4tpei4

On properties of update sequences based on causal rejection

2002 Theory and Practice of Logic Programming  
Moreover, some new properties for approaches to updating logic programs are considered as well.  ...  For this purpose, we review postulates and principles for update and revision operators which have been proposed in the area of theory change and nonmonotonic reasoning.  ...  for their useful remarks and corrections.  ... 
doi:10.1017/s1471068401001247 fatcat:ah3j3kk6tjauvbvh5jgww5irr4

On Properties of Update Sequences Based on Causal Rejection [article]

T. Eiter, M. Fink, G. Sabbatini, H. Tompits
2001 arXiv   pre-print
We review postulates for update and revision operators from the area of theory change and nonmonotonic reasoning, and some new properties are considered as well.  ...  New information is incorporated into the current knowledge base subject to a causal rejection principle enforcing that, in case of conflicts, more recent rules are preferred and older rules are overridden  ...  for their useful remarks and corrections.  ... 
arXiv:cs/0109006v1 fatcat:lgiuthpwx5fsngn32esqgapvze

A Knowledge Level Account of Forgetting

James P. Delgrande
2017 The Journal of Artificial Intelligence Research  
Moreover, the approach clarifies the relation between forgetting and related operations, including belief contraction.  ...  This view also leads to insights with respect to specific logics: for example, forgetting in first-order logic is somewhat different from the accepted approach.  ...  I thank a second reviewer for helpful comments, particularly with regards to work in answer set programmming.  ... 
doi:10.1613/jair.5530 fatcat:wvidqe2ukfbodkhuzssikq4upy

Edited transcription of the workshop on defeasible reasoning with specificity and multiple inheritance St. Louis, April 1989

Jennie Dorosh, Ronald P. Loui
1990 ACM SIGART Bulletin  
We could consistently assert for example, birds fly, and yet Opus is a bird that doesn't fly. On the other hand, we do get some non-trivial relations.  ...  A lot of results show that major frameworks for dealing with the problems of non-monotonieity, ranging from probability to preference over models, have a lot in common.  ... 
doi:10.1145/122388.122389 fatcat:xqpkc37n75biheym7vydc6w5zi

Combining probabilistic logic programming with the power of maximum entropy

Gabriele Kern-Isberner, Thomas Lukasiewicz
2004 Artificial Intelligence  
They both also satisfy the property of rational monotonicity and several irrelevance properties.  ...  We then analyze the nonmonotonic behavior of both approaches along benchmark examples and along general properties for default reasoning from conditional knowledge bases.  ...  One way to explain the reasonableness of maximum entropy inference is to investigate its formal properties according to widely accepted standards for nonmonotonic inference relations, such as System ¤  ... 
doi:10.1016/j.artint.2004.04.003 fatcat:avc3lq4eibahjkmj5fi2cgxg6m

Page 1619 of Mathematical Reviews Vol. , Issue Index [page]

Mathematical Reviews  
(English summary) (see 98c:68016) Bezzazi, Hassan (with Makinson, David; Pino Pérez, Ramén) Beyond rational monotony: some strong non-Horn rules for nonmonotonic inference relations.  ...  ., 984:68192 Georgatos, Konstantinos Ordering-based representations of rational inference.  ... 

Page 82 of Mathematical Reviews Vol. , Issue Index [page]

Mathematical Reviews  
(Russian) 98i:03033 Béziau, Jean-Yves sce Krause, Décio, 98h:03037 Bezzazi, Hassan (with Makinson, David; Pino Pérez, Ramon) Beyond rational monotony some strong non-Horn rules for nonmonotonic inference  ...  relations.  ... 
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