What is the general prefix for a logic that includes logics like deontic, epistemic and doxastic logic?

The general prefix for a logic that encompasses logics such as deontic, epistemic, and doxastic logic is "modal logic." Modal logic extends classical propositional and predicate logic to include operators that express modality, which can represent concepts like necessity, possibility, knowledge, belief, and obligation.

In the case of modal logic:

• Deontic Logic deals with normative concepts such as obligation and permission.
• Epistemic Logic focuses on knowledge and belief among agents.
• Doxastic Logic specifically pertains to beliefs.

By utilizing modal operators, these logics allow for more nuanced reasoning about different kinds of modalities, making them essential for studying concepts in philosophy, computer science, and artificial intelligence.