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Theorem

Sahlqvist Correspondence Theorem

Logic and Foundations

In modal logic, Sahlqvist formulas are a class of modal formulas with notable properties. The Sahlqvist correspondence theorem states that every Sahlqvist formula is canonical and corresponds to a class of Kripke frames that is definable by a first-order formula. This description is adapted from Wikipedia contributors under CC BY-SA 4.0; changes were made. https://creativecommons.org/licenses/by-sa/4.0/

Facts
Classification
Statement Form
Characterization Theorem 1
Connections

Has Statement Form

Entity-backed identity for the statement-form enum value this theorem already carries, resolved to a mathematics concept by an explicit value-to-entity map (phase 3 bucket conversion, docs\design_entity_backed_browse_buckets_20260928.md). The statement-form fact itself stays on the theorem unchanged.

In Branch

Source Sahlqvist formula (Wikipedia)
Sources
1. Sahlqvist formula (Wikipedia)
In Branch: Logic and Foundations, Lead sentence
Quote, In Branch: Logic and Foundations, Lead sentence
In modal logic, Sahlqvist formulas are a certain kind of modal formula with remarkable properties.
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