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Course contents

  • How to Use This Course
  • Reading Paths
  • Glossary
  • Metrics Reference
  • Formal Cheat Sheet
  • Formal Foundations19
    • Formal versus Simulation
    • Transition Systems, Invariants and the Three Property Roles
    • Reset, Initial State and the First Cycle
    • Cone of Influence
    • The Formal Tool Flow, Vendor-Neutral
  • 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
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←Formal Verification
  1. Topics
  2. Formal Verification
  3. Formal Foundations

Part 1 of 10Part 1 of 10/Formal FoundationsAll levels

Formal Foundations

What a formal run promises and what it costs: results, assumptions, models, reset, cones, and the tool flow.

  • 5topics
  • 19lessons

Purpose

This section says what a formal run is and what it promises, and it is the start of the course. It assumes the reader has met formal once in one of the on-ramp lessons and starts where they stop: with results that must be defended. The running designs are a 4-entry FIFO, a decade counter, a skid stage, a register block, a pipelined pair, and an arbiter, and every number about them comes from counted runs, never from habit.

Topic

Lessons

After it you can...

Formal versus Simulation

4

Read any result as proven, counterexample, or inconclusive, and split work with simulation.

Transition Systems, Invariants and the Three Property Roles

4

Model a block as states and rules, write invariants, and place each directive correctly.

Reset, Initial State and the First Cycle

3

Harness the first cycles so reset and history never lie.

Cone of Influence

4

Compute cones, trust their exactness, read their sizes, and price them.

The Formal Tool Flow, Vendor-Neutral

4

Build harnesses, run tasks, read reports, and name model fidelity limits.

Suggested order: topics top to bottom, lessons top to bottom inside each topic. The first topic fixes the vocabulary, the second the model, the third the start of time, the fourth the cost, and the fifth the machinery. Later sections assume all of it, especially the three outcomes and the assumption discipline.

The model plus harness and the properties feed a run that carries the assumption list. The outcome is proven or a counterexample, or inconclusive, each with its own next step.
The loop this section teaches: the model with its harness and the properties enter a run that carries the assumptions, and one of three outcomes leaves it.
Check yourself What must every reported result carry with it?

The model, the assumption list, and the depth or proof form: a verdict without them cannot be trusted or reproduced. A bounded pass is a sound result with a stated bound, but it is not a proof.

Related topics

  • On-ramp: Formal in One Lesson

  • Verification First Principles: What Formal Does

  • Formal Glossary

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See also

  • How to Use This Course
  • Reading Paths
  • Glossary