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Dynamic Epistemic Logic (DEL) is the logic of knowledge change; it is not about one particular logical system, but about a whole family of logics that allow us to specify static and dynamic aspects of knowledge and beliefs of agents (cf. Van Ditmarsch et al. 2007).
It is in this sense that the word logic is to be taken in such designations as "epistemic logic" (logic of knowledge), "doxastic logic" (logic of belief), "deontic logic" (logic of norms), "the logic of science," "inductive logic," and so on.
Epistemic logic is the logic of knowledge and belief.
So ⊢ Kjr → r would hold in any system augmented with a faithful logic of knowledge.
Modern treatments of the logic of knowledge and belief grow out of the work of a number of philosophers and logicians writing from 1948 through the 1950s.
At first glance this is surprising, since in any standard logic of knowledge or belief \ \Box P \rightarrow \Box ( P \wedge P \) is valid.
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Temporal-epistemic logics combine temporal and (multi-agent) logics of knowledge.
So far in this article only single-agent justification logics, analogous to single-agent logics of knowledge, have been considered.
Modal logics find extensive use in computing science as logics of knowledge and belief, logics of programs, and in the specification of distributed and concurrent systems.
Since justification logics provide explicit justifications, while conventional logics of knowledge provide an implicit knowledge operator, it is natural to consider combining the two in a single system.
The work was subsequently extended to a more general family of justification logics, which are logics of knowledge in which reasons are made explicit.
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reason of knowledge
spirit of knowledge
goal of knowledge
doctrine of knowledge
understanding of knowledge
justification of knowledge
principle of knowledge
system of knowledge
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logic of life
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