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Composite cyclic inverses: exact certificates and modular lifting #666

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Composite cyclic inverses: exact certificates and modular lifting #666

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237d7fd
Certify cyclic inverse nonvanishing at six composite radices
at1as Oct 13, 2026
5020ede
Record completed composite-cyclic sprint and PR handoff
at1as Oct 13, 2026
8df1b59
Prove modular lifting for composite cyclic kernel families
at1as Oct 13, 2026
8e5a8d4
Record completed verification and composite lifting handoff
at1as Oct 13, 2026
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34 changes: 34 additions & 0 deletions .github/workflows/composite-cyclic-bezout.yml
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name: Composite cyclic Bezout certificates
on:
pull_request:
paths:
- 'research/composite-cyclic-bezout/**'
- 'research/prime-power-cyclic-inverse/**'
- '.github/workflows/composite-cyclic-bezout.yml'
workflow_dispatch:
permissions:
contents: read
jobs:
exact-check:
runs-on: ubuntu-latest
timeout-minutes: 5
strategy:
matrix:
python: ['3.11', '3.14']
steps:
- uses: actions/checkout@3d3c42e5aac5ba805825da76410c181273ba90b1 # v7
with:
persist-credentials: false
- uses: actions/setup-python@5fda3b95a4ea91299a34e894583c3862153e4b97 # v7
with:
python-version: '${{ matrix.python }}'
- name: Check integer certificates and mathematical mutations
run: python -B -I -O research/composite-cyclic-bezout/verify.py --check research/composite-cyclic-bezout/EXPECTED.json
- name: Check arithmetic and CLI failure detection
run: python -B -I research/composite-cyclic-bezout/test_verify.py
- name: Check modular lifting seeds and finite diagnostics
run: python -B -I -O research/composite-cyclic-bezout/verify_lifting.py --check research/composite-cyclic-bezout/LIFTING-EXPECTED.json
- name: Check lifting arithmetic and failure detection
run: python -B -I research/composite-cyclic-bezout/test_lifting.py
- name: Confirm verification leaves the checkout unchanged
run: git diff --exit-code
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