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Course contents

  • How to Use This Course
  • Reading Paths
  • Glossary
  • Metrics Reference
  • Formal Cheat Sheet
  • Formal Foundations19
  • Properties and SVA16
  • Property Development and Constraints19
  • Proof Engines and Convergence23
  • Formal Applications20
  • Equivalence Checking14
  • Formal Coverage and Signoff15
  • Methodology and Debug13
  • Interview Prep15
  • Capstone: A Chip-Block Verification Lab24
    • The Brief
    • Stage 1: FIFO and Handshake
    • Stage 2: Registers and Arbiter
    • Stage 3: Pipeline and Equivalence
    • Stage 4: Induction and Signoff
      • Stage 4 Induction on the Counter and FIFO Invariants
      • Stage 4 Signoff Ledger and Waivers
      • Stage 4 Final Manifest and Review
    • Solutions
    • Appendix: Run It Yourself on an Open-Source Flow
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←Capstone: A Chip-Block Verification Lab
  1. Topics
  2. Formal Verification
  3. Capstone: A Chip-Block Verification Lab
  4. Stage 4: Induction and Signoff

Part 10 of 10Part 10 of 10/Capstone: A Chip-Block Verification LabAll levels

Stage 4: Induction and Signoff

Close the induction arguments with helper assertions, then assemble a signoff package whose manifest prints one line.

  • 3topics
  • 3lessons

Stage 4 closes the two arguments every earlier stage leaned on: the induction step with its helper assertions, and the signoff package with its ledger. The counter lesson shows why a true property can fail its induction step and what repairs it, the FIFO shows the same shape on a larger design, and a small counter module shows a proof that passes with a fault planted. The signoff lesson assembles bounds, discharged assumptions and waivers. The manifest lesson runs every ledger check and then points you to the Solutions topic, which holds the causes of all 16 planted faults and the reference ledger.

Lesson

After it you can...

Stage 4 Induction on the Counter and FIFO Invariants

Find the helper that closes an induction, measure the minimal window, and judge a proof that passes with a fault planted.

Stage 4 Signoff Ledger and Waivers

Justify each bound from a cover step and check waivers for owner, age and revision.

Stage 4 Final Manifest and Review

Run the manifest, demonstrate that every check can fail, and prepare the review answers.

Suggested order: top to bottom. Induction first, because ledger rows claim proven status that only a passing induction justifies; the package next; the manifest last. When your package passes, continue with Solutions and compare every cause, killing property and fix with your own.

An induction step starts from any state. A helper assertion strengthens it until the proof closes at some window. The ledger rows cite that proof run, and the manifest checks the rows.
The stage 4 route: an induction step that starts from any state is strengthened with a helper assertion until the proof closes, the rows cite the proof run, and the manifest checks them.
Check yourself Why does induction come before the package in this stage?

Ledger rows claim proven status, and only a proof that closes justifies that word. The package files the claims the induction lesson earns.

Related topics

  • Back: Stage 3 ECO and the Intended Difference

  • Earlier: K-Induction in Depth

  • Next: Solutions

PreviousNext: Stage 4 Induction on the Counter and FIFO Invariants

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See also

  • The Brief
  • Stage 1: FIFO and Handshake
  • Stage 2: Registers and Arbiter