Routley and Meyer's relevant logic tradition denies that □¬p entails ¬◇p when modal operators are interpreted through world-relative inconsistency-tolerant accessibility relations.

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Accessibility relations(in modal logic and epistemology): A formal way of mapping out which situations or possibilities an agent (like a person) can distinguish or imagine from their current position—basically, what they can 'see' or consider as real options.
Routley and Meyer(as philosophers/logicians whose research is being cited): Two logicians (Richard Routley and Robert Meyer) who studied non-classical logic systems in the 1970s-80s and proved important theorems about how different logical systems work.
World-relative inconsistency-tolerant(as a characteristic of how this logical system works): A system where different possible scenarios (worlds) can each have their own set of rules, and some of them can contain contradictions without breaking the logic entirely.
entails(describes a logical relationship between statements): Logically forces or guarantees; if A entails B, then whenever A is true, B must also be true.

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