world-types-identity

The groupant beside world/src/types.rs in the Mova repository: what the code computes, what it never does, how to go back from its outputs, its invariants, cost and checks.

Facts

Implementation material. A Mova code model describes this code at one source revision: partial models, finite checks and their stated scope. It is not a reviewed general exposition, and its labels are shown as written, never raised.

Components

component	label	where
approximant	partial	Forward
ast	partial	`../syntax.json`
cost	partial	Cost
descriptant	present	`model.md`
invariant	partial	Invariant
tests	coverage recorded	`../model.md#tests`

Obernants

The typed relations around the forward model: the behaviour complement (what the code never does), the reverse reconstruction (every input compatible with an output) and specialised views.

id	type	label	where
`nonbehavior`	behavior_complement	partial source derived model	nonbehavior
`antecedents`	reverse_reconstruction	partial source derived model	antecedents
`constructor-gap`	domain_mismatch	partial source derived model	constructor-gap
`registry-order`	ordering_projection	partial source derived model	registry-order
`long-position`	injective_encoding	partial source derived model	long-position

Model text

descriptant

world-types-identity

Pure identity/value operations and their source-bound partial syntax.

Forward

Dispatch by operation and preserve Rust input/output variants. Parsing uses a restricted decimal grammar; names and displays project values; V::tags computes sorted support. Individual graphs are in catalog.md.

Invariant

No operation changes a world store or validates entity existence. Canonical tag invariants hold for V::tags outputs, not arbitrary public V constructors. Constructor domains exceed parser domains. Strings are byte-exact and case-sensitive.

Cost

Membership is linear in table size times string comparison cost. Normalization sorts n tags in O(n log n) comparisons then deduplicates. tag_list costs O(n) cloning for Tags. Formatting costs emitted bytes and temporary vector/string allocations. Id accepts at most seven ASCII bytes; is_word at most 32. No timing measured.

Composition

Identity, vocabulary, routing and values share Reg, Field, Tag and V. key selects Field/Dom then key_ok constrains registry; external payload parsing is a dependency gap. Closed::tag supplies tags, V::tags normalizes, Display projects. Sequential R(x,z)=exists y: R1(x,y) and R2(y,z); reverse retains every compatible y. Parent complement is its own U minus R, not union of child complements. Fragment costs count actual calls once despite shared type dependencies. External language parsing, storage, branch execution and semantic identity remain unmodeled.

Epoch memory

2026-10-29: retained constructor/parser mismatch, Status/Stage alias, key aliases, Closed list's actual space separator and public noncanonical V::Tags. These are model observations; source unchanged. Partial syntax does not expand macros, infer types or prove semantics. Prospective falsification: extend probes to arbitrary custom Closed tables and formatter errors after widening the observation universe.

catalog

Typed models

Subject/revision: world/src/types.rs at manifest SHA-256, epoch 2026-10-29. Each relation observes normal returns on finite typed inputs. Assumptions: fixed source, ordinary allocation, successful formatting sink; no downstream validation. Status: source-derived partial correspondence, not semantic proof. Every formula defines its operator and explicit domain below. For every entry the falsification oracle is a literal input/output comparison with the actual source-included Rust API. Only coverage named in tests.md was executed; remaining relations are inspected hypotheses.

nonbehavior

U=(parse string,optional Id) union (Id,display string) union (TextPos,short string). R is these function graphs. U minus R forbids accepting C0/c1/C1000000 or including chapter in short display. Normal returns only.