Reversing the Levi identity
@article{Hansson1993ReversingTL, title={Reversing the Levi identity}, author={Sven Ove Hansson}, journal={Journal of Philosophical Logic}, year={1993}, volume={22}, pages={637-669} }
The AGM (Alchourrón-GÄrdenfors-Makinson) model of belief change is extended to cover changes on sets of beliefs that arenot closed under logical consequence (belief bases). Three major types of change operations, namely contraction, internal revision, and external revision are axiomatically characterized, and their interrelations are studied. In external revision, the Levi identity is reversed in the sense that onefirst adds the new belief to the belief base, and afterwards contracts its…
141 Citations
Iterated belief change based on epistemic entrenchment
- Philosophy
- 1994
In this paper it is argued that, in order to solve the problem of iterated belief change, both the belief state and its input should be represented as epistemic entrenchment (EE) relations. A belief…
AGM-like paraconsistent belief change
- PhilosophyLog. J. IGPL
- 2017
The present approach can be applied to a general class of paraconsistent logics which are supraclassical, thus preserving the spirit of AGM, and representation theorems w.r.t. constructions based on selection functions are obtained for all the operations.
Pseudo-contractions in belief revision
- Philosophy
- 2016
This work has proposed a new pseudo-contraction operation, studied its properties and characterized it, and found connections between this operator and some other pseudo-contractions.
Twenty-Five Years of Research in Belief Change
- Economics
- 2011
The 1985 paper by Carlos Alchourron (1931-1996), Peter Gardenfors, and David Makinson (AGM), "On the Logic of Theory Change: Partial Meet Contraction and Revision Functions" was the starting-point of…
AGM 25 Years
- EconomicsJ. Philos. Log.
- 2011
The 1985 paper by Carlos Alchourrón (1931–1996), Peter Gärdenfors, and David Makinson (AGM), “On the Logic of Theory Change: Partial Meet Contraction and Revision Functions” was the starting-point of…
On a Full Meet Base Revision That Satisfies the Categorial Matching Principle
- Philosophy
- 2001
One argument in favour of the foundations theory, which focuses on belief bases rather than on belief sets, is that it conforms with the intuistic notion that a set of beliefs most commonly consists of a rough collection B of several pieces of knowledge, put together without any structure, and treated as elementary beliefs.
Modellings for Belief Change: Base Contraction, Multiple Contraction, and Epistemic Entrenchment
- PhilosophyJELIA
- 1992
A distinction is drawn between the set of explicit beliefs of a reasoner, the “belief base”, and the beliefs that are merely implicit, which are governed exclusively by the structure of the belief base.
Iterated Belief Change Based on Epistemic Entrenchment*
- Philosophy
- 1994
insightful comments on an earlier draft of this paper. I thank the referees for Erkenntnis who, apart from giving extended commen ts and suggestions, provided me with some hard-to-nd relevant…
References
SHOWING 1-10 OF 23 REFERENCES
Belief contraction without recovery
- BiologyStud Logica
- 1991
This work replaces recovery with the seemingly much weaker postulate of core-retainment, which ensures that if x is excluded from K when p is contracted, then x plays some role for the fact that K implies p.
Foundational belief change
- EconomicsJ. Philos. Log.
- 1994
It is shown that the theory contraction operation generated by Fuhrmann's minimal base contraction operation, even under quite strong restrictions, fails to satisfy the “supplementary postulates” of belief contraction.
A nonmonotonic conditional logic for belief revision. Part 1: Semantics and logic of simple conditionals
- PhilosophyThe Logic of Theory Change
- 1989
Using Gardenfors's notion of epistemic entrenchment, the semantics of a logic is developed which explains the nonmonotonic nature of the consequence relation governing languages which contain conditionals, and how to deduce conditionals from premise sets without conditionals.
Knowledge, belief, and strategic interaction: The dynamics of belief systems: Foundations versus coherence theories
- Philosophy
- 1992
1. The PROBLEM OF belief revision In this article I want to discuss some philosophical problems one encounters when trying to model the dynamics of epistemic states. Apart from being of interest in…
On the Logic of Theory Change: Partial Meet Contraction and Revision Functions
- MathematicsJ. Symb. Log.
- 1985
The authors investigate "partial meet contraction functions", which are defined to yield the intersection of some nonempty family of maximal subsets of the theory that fail to imply the proposition being eliminated, and basic properties of these functions are established.
Belief Revision: Reason maintenance and belief revision: Foundations versus coherence theories
- Philosophy
- 1992
Recent years have seen considerable work on two approaches to belief revision: the so-called foundations and coherence approaches. The foundations approach supposes that a rational agent derives its…
On the status of the postulate of recovery in the logic of theory change
- PhilosophyJ. Philos. Log.
- 1987
We discuss the rather special status of the postulate of "recovery" among the six basic postulates for theory contraction as formulated and studied by Alchourr6n, Gdirdenfors and the author. Our…
The Raft and the Pyramid: Coherence versus Foundations in the Theory of Knowledge
- Philosophy
- 1980
Contemporary epistemology must choose between the solid security of the ancient foundationalist pyramid and the risky adventure of the new coherentist raft. Our main objective will be to understand,…
The Dynamics of Belief Systems : Foundations vs . Coherence Theories
- Philosophy
- 1990
In this article I want to discuss some philosophical problems one encounters when trying to model the dynamics of epistemic states. Apart from being of interest in themselves, I believe that…
Hierarchies of Regulations and their Logic
- Computer Science
- 1981
The relations between derogation and delivery are investigated, showing that although the two processes appear and are generally assumed to be quite different from each other, nevertheless for finite inconsistent codes, the composite process of derogating and then selecting a remainder turns out to be equipowerful with delivery.