Day two: firmament — build, divide, name; commit without test (1:6-8) FROZEN

יוֹם שֵׁנִי — רָקִיעַ · yom sheni — raqia · second day — firmament

Derivation log (steps A–J)

Boot steps — the operator lines (hand-derived, owner-approved)

State machine

Scenarios (the unit's own test suite)

Exports (reusable patterns)

Oral notes (named, tiered, dual-track — never merged)

Binary trees (ta'amim v3, glue bricks)

Gen.1.6 · parser unique · 11 words

PHRASE (binary 11w) וַ/יֹּ֣אמֶר אֱלֹהִ֔ים יְהִ֥י רָקִ֖יעַ בְּ/ת֣וֹ…
├── PHRASE (binary 6w) וַ/יֹּ֣אמֶר אֱלֹהִ֔ים יְהִ֥י רָקִ֖יעַ בּ…
│   ├── [0-1] GLUE וַ/יֹּ֣אמֶר אֱלֹהִ֔ים (zaqef qatan, rank=2)
│   └── PHRASE (binary 4w) יְהִ֥י רָקִ֖יעַ בְּ/ת֣וֹךְ הַ/מָּ֑יִם
│       ├── [2-3] GLUE יְהִ֥י רָקִ֖יעַ (tifcha, rank=2)
│       └── [4-5] GLUE בְּ/ת֣וֹךְ הַ/מָּ֑יִם (etnachta (major mid-verse rest), rank=1)
└── PHRASE (binary 5w) וִ/יהִ֣י מַבְדִּ֔יל בֵּ֥ין מַ֖יִם לָ/מָֽ…
    ├── [6-7] GLUE וִ/יהִ֣י מַבְדִּ֔יל (zaqef qatan, rank=2)
    └── PHRASE (binary 3w) בֵּ֥ין מַ֖יִם לָ/מָֽיִם
        ├── [8-9] GLUE בֵּ֥ין מַ֖יִם (tifcha, rank=2)
        └── [10] לָ/מָֽיִם (silluq (verse-end emperor), rank=1)

Gen.1.7 · parser unique · 17 words

PHRASE (binary 17w) וַ/יַּ֣עַשׂ אֱלֹהִים֮ אֶת הָ/רָקִיעַ֒ וַ/יַּבְ…
├── PHRASE (binary 15w) וַ/יַּ֣עַשׂ אֱלֹהִים֮ אֶת הָ/רָקִיעַ֒ וַ…
│   ├── PHRASE (binary 4w) וַ/יַּ֣עַשׂ אֱלֹהִים֮ אֶת הָ/רָקִיעַ֒
│   │   ├── [0-1] GLUE וַ/יַּ֣עַשׂ אֱלֹהִים֮ (zinor, rank=3)
│   │   └── [2-3] GLUE אֶת הָ/רָקִיעַ֒ (segol, rank=2)
│   └── PHRASE (binary 11w) וַ/יַּבְדֵּ֗ל בֵּ֤ין הַ/מַּ֨יִם֙ אֲשֶׁר֙…
│       ├── PHRASE (binary 6w) וַ/יַּבְדֵּ֗ל בֵּ֤ין הַ/מַּ֨יִם֙ אֲשֶׁר֙…
│       │   ├── [4] וַ/יַּבְדֵּ֗ל (revia, rank=3)
│       │   └── PHRASE (binary 5w) בֵּ֤ין הַ/מַּ֨יִם֙ אֲשֶׁר֙ מִ/תַּ֣חַת לָ…
│       │       ├── [5-6] GLUE בֵּ֤ין הַ/מַּ֨יִם֙ (pashta, rank=3)
│       │       └── PHRASE (binary 3w) אֲשֶׁר֙ מִ/תַּ֣חַת לָ/רָקִ֔יעַ
│       │           ├── [7] אֲשֶׁר֙ (pashta, rank=3)
│       │           └── [8-9] GLUE מִ/תַּ֣חַת לָ/רָקִ֔יעַ (zaqef qatan, rank=2)
│       └── PHRASE (binary 5w) וּ/בֵ֣ין הַ/מַּ֔יִם אֲשֶׁ֖ר מֵ/עַ֣ל לָ/ר…
│           ├── [10-11] GLUE וּ/בֵ֣ין הַ/מַּ֔יִם (zaqef qatan, rank=2)
│           └── PHRASE (binary 3w) אֲשֶׁ֖ר מֵ/עַ֣ל לָ/רָקִ֑יעַ
│               ├── [12] אֲשֶׁ֖ר (tifcha, rank=2)
│               └── [13-14] GLUE מֵ/עַ֣ל לָ/רָקִ֑יעַ (etnachta (major mid-verse rest), rank=1)
└── [15-16] GLUE וַֽ/יְהִי כֵֽן (silluq (verse-end emperor), rank=1)

Gen.1.8 · parser unique · 10 words

PHRASE (binary 10w) וַ/יִּקְרָ֧א אֱלֹהִ֛ים לָֽ/רָקִ֖יעַ שָׁמָ֑יִם…
├── PHRASE (binary 4w) וַ/יִּקְרָ֧א אֱלֹהִ֛ים לָֽ/רָקִ֖יעַ שָׁמ…
│   ├── PHRASE (binary 3w) וַ/יִּקְרָ֧א אֱלֹהִ֛ים לָֽ/רָקִ֖יעַ
│   │   ├── [0-1] GLUE וַ/יִּקְרָ֧א אֱלֹהִ֛ים (tevir, rank=3)
│   │   └── [2] לָֽ/רָקִ֖יעַ (tifcha, rank=2)
│   └── [3] שָׁמָ֑יִם (etnachta (major mid-verse rest), rank=1)
└── PHRASE (binary 6w) וַֽ/יְהִי עֶ֥רֶב וַֽ/יְהִי בֹ֖קֶר י֥וֹם…
    ├── [4-7] GLUE וַֽ/יְהִי עֶ֥רֶב וַֽ/יְהִי בֹ֖קֶר (tifcha, rank=2)
    └── [8-9] GLUE י֥וֹם שֵׁנִֽי (silluq (verse-end emperor), rank=1)

Word coverage — 38/38 words with named roles

Machine verification — run_unit.py (computed live, not stored)

unit: gen_02_raqia_day — Day two: firmament — build, divide, name; commit without test (1:6-8) [frozen]

final state: WORLD=['raqia'] (+1 presupposed) | REGISTRY={'raqia': 'shamayim'} | TESTS=0 PASS | LEDGER days=[2] | FLAGS=['read_before_install', 'commit_without_test']

=== S1 — Two-mood spec: after STEP_Gn_1_6
    יְהִי רָקִיעַ (yehi raqia)
    PASS  SPECS: LET(exists(raqia)) pushed and OPEN  (queue=['exists(raqia)', 'mavdil(raqia, mayim|mayim)'])
    PASS  LET?(mavdil(raqia, mayim|mayim)) mood remains LET?  (mood=LET?)
    PASS  mavdil INVARIANT active  (invariants=['mavdil(raqia, mayim|mayim)'])
    PASS  machine flags mayim as read-before-install (presupposed).  (flagged=['mayim'])

=== S2 — Build + discharge: after STEP_Gn_1_7
    וַיְהִי־כֵן (va-yehi khen)
    PASS  WORLD += raqia  (entity={'mode': 'created', 'by': 'fiat-result', 'step': 'Gen.1.7'})
    PASS  SPECS empty  (queue=0)
    PASS  LET?(mavdil(raqia, mayim|mayim)) mood remains LET?.  (mood=LET?)

=== S3 — Name + commit WITHOUT test: after STEP_Gn_1_8
    יוֹם שֵׁנִי (yom sheni)
    PASS  REGISTRY: raqia->shamayim (1 write)  (names={'raqia': 'shamayim'} writes=1)
    PASS  LEDGER[day 2] committed with spec ✓ / names 1  (entry={'closed': True, 'spec_ok': True, 'test_pass': False, 'names': 1, 'label_form': 'ordinal', 'label_he': 'יוֹם שֵׁנִי', 'label_translit': 'yom sheni', 'step': 'Gen.1.8'})
    PASS  day label is ORDINAL sheni  (label=yom sheni form=ordinal)
    PASS  machine flags commit-without-test.  (flags=['commit_without_test', 'read_before_install'])

=== S4_negative — Negative: LET? never auto-upgrades
    PASS  imperfect-in-command parsed as LET? (question mark kept)  (mood=LET?)
    PASS  auto-upgrade REFUSED  (TIR-028: LET? never auto-upgrades to LET — a per-unit judgme...)
    PASS  upgrade WITH citation allowed  (cite=per-unit judgment (owner), TIR-028 resolution)

ALL SCENARIOS GREEN

Python rendering — the unit as a program

Generated from the frozen YAML by render_unit_py.py (the YAML stays canonical — this layer is derived, like this page). Runnable: python3 logic/py_units/gen_02_raqia_day.py — replays the six registers and asserts the interpreter's machine truth.

#!/usr/bin/env python3
# =============================================================================
# gen_02_raqia_day — 1:6-8
# PYTHON RENDERING — GENERATED from the FROZEN YAML by render_unit_py.py.
# The YAML (logic/units/gen_02_raqia_day.yaml) is CANONICAL (Pre-Code); this
# file is a derived, runnable rendering. Do not edit — regenerate. The
# assertion block at the bottom is baked from the Stage D interpreter's
# actual final state: running this file re-proves the unit.
# Experimental model — not binding religious law.
# =============================================================================
"""Day two: firmament — build, divide, name; commit without test (1:6-8)"""
from machine import Machine

m = Machine("gen_02_raqia_day")

# -------------------------- Gen.1.6 · DECLARE_TWO_MOOD_SPEC ----------------
# וַיֹּאמֶר אֱלֹהִים יְהִי רָקִיעַ בְּתוֹךְ הַמָּיִם וִיהִי מַבְדִּיל בֵּין
# מַיִם לָמָיִם
# "And God said: 'Let there be a firmament in the midst of the waters, and
# let it divide the waters from the waters.'"
m.step("Gen.1.6")
# ‹יְהִי רָקִיעַ› (“let-there-be firmament”) — God speaks a demand — LET:
# exists(firmament)
m.declare("Elohim", "LET",
          "exists(raqia)")
# ‹וִיהִי מַבְדִּיל› (“and-let-it-be dividing”) — God speaks a demand —
# LET?: dividing(firmament, waters|waters)
m.declare("Elohim", "LET?",
          "mavdil(raqia, mayim|mayim)")
# ‹מַבְדִּיל› (“dividing”) — standing constraint: dividing(firmament,
# waters|waters)
m.invariant("mavdil(raqia, mayim|mayim)")
# reads without prior install (flag, not fix): waters
m.presupposed("mayim")

# -------------------------- Gen.1.7 · BUILD_DIVIDE_RESULT ------------------
# וַיַּעַשׂ אֱלֹהִים אֶת־הָרָקִיעַ וַיַּבְדֵּל בֵּין הַמַּיִם אֲשֶׁר
# מִתַּחַת לָרָקִיעַ וּבֵין הַמַּיִם אֲשֶׁר מֵעַל לָרָקִיעַ וַיְהִי־כֵן
# "And God made the firmament, and divided the waters which were under the
# firmament from the waters which were above the firmament; and it was so."
m.step("Gen.1.7")
# ‹וַיַּעַשׂ אֱלֹהִים אֶת־הָרָקִיעַ› (“and-made God obj-marker the-
# firmament”) — event: make — agent God; theme firmament
m.event("make", agent="Elohim", themes=["raqia"])
# ‹בֵּין הַמַּיִם … וּבֵין הַמַּיִם› (“between the-waters … and-between the-
# waters”) — partition between mayim-under and mayim-over
m.partition("mayim-under", "mayim-over")
# ‹וַיְהִי־כֵן› (“and-there-was so”) — demand settled (popped from the
# queue): exists(firmament)
m.result("exists(raqia)", tmark="t2")
# ‹וַיַּבְדֵּל› (“and-divided”) — demand settled (popped from the queue):
# dividing(firmament, waters|waters)
m.result("mavdil(raqia, mayim|mayim)", tmark="t2")

# -------------------------- Gen.1.8 · NAME_AND_COMMIT_NO_TEST --------------
# וַיִּקְרָא אֱלֹהִים לָרָקִיעַ שָׁמָיִם וַיְהִי־עֶרֶב וַיְהִי־בֹקֶר יוֹם
# שֵׁנִי
# "And God called the firmament Heaven. And there was evening and there was
# morning, a second day."
m.step("Gen.1.8")
# ‹לָרָקִיעַ שָׁמָיִם› (“to-the-firmament Heavens”) — named: firmament :=
# Heavens
m.name("raqia", "shamayim")
# ‹יוֹם שֵׁנִי› (“day second”) — ledger: day 2 committed
m.commit(2, label_form="ordinal", label_translit="yom sheni")

# -------------------------- machine truth (baked from the Stage D run) -------
if __name__ == "__main__":
    m.report()
    assert m.created_set() == {'raqia'}
    assert m.presupposed_set() == {'mayim'}
    assert m.REGISTRY["names"] == {'raqia': 'shamayim'}
    assert m.REGISTRY["writes"] == 1
    assert m.tests_list() == []
    assert m.open_demands() == []
    assert len(m.SPECS["log"]) == 2
    assert sorted(m.LEDGER) == [2]
    assert m.flag_counts() == {'read_before_install': 1, 'commit_without_test': 1}
    assert sorted(m.WORLD["facts"]) == sorted([])
    assert m.WORLD["invariants"] == ['mavdil(raqia, mayim|mayim)']
    assert m.WORLD["partitions"] == [('mayim-under', 'mayim-over')]
    assert len(m.EVENTS) == 7
    print("ALL ASSERTIONS GREEN — rendering matches the frozen unit's machine truth")

Rendered 2026-08-09 by render_unit_html.py · the YAML is canonical, this page is read-only display · English = aid only · not binding religious law.