About the Complete Axiomatization of Dynamic Extensions of Arrow Logic

Author(s):  
Philippe Balbiani
2020 ◽  
Vol 49 (1) ◽  
Author(s):  
Arkadiusz Wójcik

The dynamic epistemic logic for actual knowledge models the phenomenon of actual knowledge change when new information is received. In contrast to the systems of dynamic epistemic logic which have been discussed in the past literature, our system is not burdened with the problem of logical omniscience, that is, an idealized assumption that the agent explicitly knows all classical tautologies and all logical consequences of his or her knowledge. We provide a sound and complete axiomatization for this logic.


Author(s):  
Joseph Y. Halpern

Causal models are potentially quite large and difficult to describe, especially once they include information about normality and typicality. In this chapter it is shown that it is often possible to achieve a compact representation of causal models without losing any information. In addition, a complete axiomatization of a language for reasoning about causality is provided.


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