If a semantic function is a homomorphism with respect to a type class, the implemented instance automatically satisfies the class laws.

Entities in the same semantic neighborhood but without a typed relation to this one — candidates for new edges or unrecognized duplicates.

• Laws for free from semantic homomorphism.claim0.814
• semantic type class homomorphismconcept0.788
  The property that the denotation function distributes over class operations, ensuring the semantics respects the algebraic structure.
• The specification for (⊸) is a category homomorphism (µ id = id, µ(g ∘ f) = µg ∘ µf), leading to a correct-by-construction implementation.claim0.775
  Demonstration on linear transformations.
• The instance's meaning follows the meaning's instance (semantic type class morphism principle).claim0.768
  The core design principle of TCM.
• Semantic Type Class Morphism (TCM)concept0.745
• Software implementations for all of the models/behaviours presented are common for n = 2, and can be made very efficient for α_i that map many objects onto a much smaller set of object families.claim0.733
  Claim about current practical feasibility and efficiency of 2-way associative implementations.
• "Expressing delegation as a pair of β-transformations on keys in an associative memory emphasises a fundamental symmetry of the delegation mechanism that is ignored by most object-oriented programming languages."concept0.731
• Proving that a program meets accomplishment specifications must be based on assumptions about the world, the information it makes available to the program and the effects of the program's actions as well as on facts about the program itself.claim0.730
  Claim about the nature of accomplishment verification.