Laws for free from semantic homomorphism.

Entities 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.hypothesis0.814
  Core hypothesis enabling 'laws for free': denotational semantics guarantee algebraic law satisfaction.
• Denotational design yields laws for free via type class morphisms.claim0.770
  Claim that algebraic laws are automatically satisfied.
• Applicative Homomorphismconcept0.756
• Laws for Freeconcept0.756
  Consequence of semantic type class morphism: type class laws hold automatically from denotational specification without manual proof.
• The specification for (⊸) is a category homomorphism (µ id = id, µ(g ∘ f) = µg ∘ µf), leading to a correct-by-construction implementation.claim0.755
  Demonstration on linear transformations.
• semantic type class homomorphismconcept0.754
  The property that the denotation function distributes over class operations, ensuring the semantics respects the algebraic structure.
• Homomorphism as Specificationclaim0.738
  Denotation acts as algebraic homomorphism, making implementations correct-by-construction when they satisfy this property
• Can the distributed representation of lexical entailment be decomposed into representations of the individual word identities?question0.729
  Research question leading to the key NLI finding about word identity data structures.