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Loop MMT
Productivity · S-05 · 1 interactive lane

Spreadsheet

A working spreadsheet, wired from small pieces.

The wiring feeds   parallel

This is the compiler’s reading of how the gifts compose into one app. Read left to right: each stage feeds the next (). A bracketed group () is parallel — its parts don’t depend on each other.

  1. grid model
  2. render grid

Composition term: render-grid ∘ grid-model

Compiles with declared gaps

3 declared gaps — named below, not hidden.

constructible-with-gaps: 2 pipe primitives fully witnessed (grid-source, grid-sink); 3 declared pure-kernel gaps (formula-parse, dep-graph, recalc) — the spreadsheet compute core is honest derive-first work. One interactive sub-lane (edit-cell / input-handling).

The declared gaps 3

A gap is a piece the compiler knows it needs but doesn’t yet have a witnessed gift for — honest derive-first work, declared rather than hidden. The app is constructible; these are the parts you’d build.

  • ss.formula-parse pure-kernel

    text -> formula AST: a deterministic parse, a pure fold. Reclassified pipe->pure-kernel by the S13.1752 D1 ruling (drift 8251ecec). Declared derive-first gap; a formula-parser witness gift (path b) is open gifts-8-reference-apps work.

  • ss.dep-graph pure-kernel

    cells -> dependency DAG: a deterministic fold. Declared derive-first gap (oracle pure-kernel, null-witness).

  • ss.recalc pure-kernel

    dep-graph + values -> recomputed values: a deterministic topological fold. Declared derive-first gap (oracle pure-kernel, null-witness).

Witness gifts 2

These shipped gifts witness stages of the pipeline — the real, downloadable parts the proof stands on.

The gifts are real and free; the wiring is a plan. Take the parts and build the app — as the schematic reads it, a variation, or something we’d never have compiled.

Built it, found a gap we missed, or think the wiring is wrong? Shea wants to hear it — success stories, questions, and corrections all land in the same inbox:

shea@loopmmt.com