{ "check": { "by": ["the ontology resolution gate over the nodes and structured-document constructs that name the representation"], "population": "every node and document construct that names the representation", "freshness": "a verdict stands until the representations or a record that names one changes", "refusal": "the gate fails on a node or construct that names a representation that does not exist", "observation": "none: a representation is a form of encoding, and nothing observes it while a run executes", "evidence": "fires-and-accepts: a suite plants a node that names a missing representation, and the bundled references resolve", "authority": "the representation list, which every node and construct that names a representation cites" }, "records": [ {"id": "symbolic", "expression": "equations, formulas, notation"}, {"id": "logic", "label": "logical", "expression": "statements, predicates, proofs"}, {"id": "number", "label": "numerical", "expression": "numbers, quantities, measurements"}, {"id": "algebra", "label": "algebraic", "expression": "operations, groups, fields"}, {"id": "geometry", "label": "geometric", "expression": "shapes, coordinates, spaces"}, {"id": "topology", "label": "topological", "expression": "connectivity, continuity"}, {"id": "graph", "label": "graphical", "expression": "diagrams, graphs, networks"}, {"id": "matrix", "expression": "linear transformations"}, {"id": "function", "label": "functional", "expression": "mappings between spaces"}, { "id": "information-theory", "label": "information-theoretic", "expression": "entropy, encoding, compression" }, {"id": "probability", "label": "probabilistic", "expression": "distributions and likelihoods"}, {"id": "dynamical-systems", "label": "dynamical", "expression": "state transitions"}, {"id": "computation", "label": "computational", "expression": "algorithms and programs"}, {"id": "category-theory", "label": "categorical", "expression": "objects and morphisms"} ] }