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Such operators do not satisfy all the postulates for merging, and hence are called quasi-merging operators (Konieczny and Pino Pérez 2002).
The postulates for merging consider a multi-set of sets of formulas (belief profile, or belief set, the terminology used in early papers) \(E = \{K_1, \ldots, K_{n}\}\).
The reason for this was that the postulates for the theoretical language also specify factual relations between phenomena that fall under the concepts that are implicitly defined by them.
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The postulates of Robert Koch, for example, cannot be fulfilled for uncultivated pathogens [48].
The close connection between theism and an afterlife is affirmed in Kant's arguments for the "postulates of practical reason".
In these systems we typically find one-way structural rules, such as the extraction postulates for overt displacement, or the Grishin distributivity laws in the case of LG: these one-way rules naturally suggest a notion of graph rewriting.
The AGM postulates for belief revision, augmented by the DP postulates for iterated belief revision, provide widely accepted criteria for the design of operators by which intelligent agents adapt their beliefs incrementally to new information.
These postulates are closely related to the supplementary postulates for contraction.
Thus we reconcile the rationality postulates for inconsistency measures in probabilistic bases and show that several inconsistency measures suggested in the literature and computable with linear programs satisfy the reconciled postulates.
We describe an alternative interpretation of the AGM postulates for belief change (Alchourrón et al., 1985; Gärdenfors, 1988) in a foundational framework of epistemic states suggested by Bochman (1997).
It is shown also that revisions of epistemic states determine a natural class of preferential AGM revisions, and that all the AGM postulates for revision can be satisfied by imposing reasonable restrictions on underlying epistemic states.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com