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No alternate terminology is currently authored for this record.
Carrier(s)
preordered set W
Data
monotone valuation of atomic propositions
Axioms / constraints
truth persists upward along the preorder
Notes
The displayed data define the propositional semantics. First-order intuitionistic Kripke models additionally require domains and interpretations varying monotonically with worlds.
This is an authored directed relation from the source endpoint to the target endpoint.
Relation ID
preorder_to_intuitionistic_kripke
Relation type
Add data add-data
Direction
source → target
Endpoint roles
source: Builds toward; target: Built from
Authored annotation
add persistent valuation
Authored explanation
Add a valuation monotone along the information preorder.
How to interpret this relation type
Equip an existing carrier or structured object with additional chosen data, when such compatible data exists. Use a construction junction when several independently meaningful inputs must coexist on the same carrier or interact compatibly.