concept
active
concept:semantic-type-class-homomorphismsemantic type class homomorphism
The property that the denotation function distributes over class operations, ensuring the semantics respects the algebraic structure.
Neighborhood — ranked by edge-count
Claims (1)
claim
- Derived result for Image monoid specification.
Concepts (1)
concept
- Denotational Designassociated_withCore framework: methodology for typed, purely functional programming that uses precise semantic specification to inform both use and implementation
Related by similarity (8)
cosine ≥ 0.65 · no typed edgeEntities in the same semantic neighborhood but without a typed relation to this one — candidates for new edges or unrecognized duplicates.
- If a semantic function is a homomorphism with respect to a type class, the implemented instance automatically satisfies the class laws.hypothesis0.788Core hypothesis enabling 'laws for free': denotational semantics guarantee algebraic law satisfaction.
- Denotation acts as algebraic homomorphism, making implementations correct-by-construction when they satisfy this property
- Principle that the instance's meaning follows the meaning's instance; every TCM failure indicates an abstraction leak.