Semantic Type Class Morphism (TCM)

Neighborhood — ranked by edge-count

community

concept

Monoid
associated_with
Standard algebraic abstraction with identity (ε) and associative binary operation ('); used to specify Image overlay operations.
Applicative
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Type class for computations with multiple effects; Image instantiated with pure and <*> pointwise operations.
Compositional Semantics
implements
Denotation function µ decomposes over operations so meaning of compound expressions follows from meanings of parts
Functor
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Standard type class enabling structure-preserving mappings via fmap; Image instantiates as lift_1.
Applicative Homomorphism
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Functor Homomorphism
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Monoid Homomorphism
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cosine ≥ 0.65 · no typed edge

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

Type Class Morphism (TCM)framework0.924
Principle that the instance's meaning follows the meaning's instance; every TCM failure indicates an abstraction leak.
The instance's meaning follows the meaning's instance (semantic type class morphism principle).claim0.788
The core design principle of TCM.
semantic type class homomorphismconcept0.781
The property that the denotation function distributes over class operations, ensuring the semantics respects the algebraic structure.
Every type class morphism failure is an abstraction leak.claim0.764
If a semantic function is a homomorphism with respect to a type class, the implemented instance automatically satisfies the class laws.hypothesis0.745
Core hypothesis enabling 'laws for free': denotational semantics guarantee algebraic law satisfaction.
The specification for (⊸) is a category homomorphism (µ id = id, µ(g ∘ f) = µg ∘ µf), leading to a correct-by-construction implementation.claim0.736
Demonstration on linear transformations.
Morphogenetic Memoryconcept0.733
Bioelectric pattern memory encoding target morphologies; can be modified by experience and persists across regeneration cycles; functional analog of behavioral memory.
Denotational design yields laws for free via type class morphisms.claim0.725
Claim that algebraic laws are automatically satisfied.