CAP Theorem Visualizer

Explore the intricacies of the CAP Theorem with our interactive calculator designed for engineers who need to understand distributed system trade-offs.

Choose Guarantees

Pick the guarantees you want to prioritize and apply the CAP rules to see the resulting character.

How to Use This Visualizer

This interactive CAP Theorem Visualizer is designed for software engineers and system architects who want clarity on the trade-offs between consistency, availability, and partition tolerance.

Select the consistency level and availability you need, decide whether partition tolerance is enabled, then click Calculate or wait for the view to refresh automatically. The highlighted characteristic summarizes the two guarantees your configuration can sustain.

Methodology

We evaluate the CAP axes against the classic rules: you can only achieve two guarantees simultaneously. When strong consistency and high availability are chosen without partition tolerance, the system is categorized as highly consistent and available. Enabling eventual consistency with partition tolerance surfaces the latter trade-off. Other combinations default to an unknown characteristic because they do not violate or satisfy a canonical pair.

See the Formulas section below for the core inequality and variable definitions, and the Citations section for the originating paper.

Frequently Asked Questions (FAQ)

What is the CAP Theorem?

The CAP Theorem states that a distributed system can only guarantee two of the following three characteristics: Consistency, Availability, and Partition Tolerance.

Why can't we achieve all three guarantees?

Distributed systems face limitations when partitions occur. To stay available or consistent, they must sacrifice one guarantee, so every deployment balances the trade-offs.

Formulas

The CAP inequality shows the impossibility of delivering consistency, availability, and partition tolerance simultaneously. Every pair yields a different system characteristic.

\(C + A + P \leq 2\)

Variables and units:
  • Consistency (C): All nodes see the same data at the same time.
  • Availability (A): Every request receives a response, successful or failed.
  • Partition Tolerance (P): The system continues to operate despite network partitions.
Citations

Brewer's CAP Theorem — baeldung.com · Accessed 2026-01-19

https://www.baeldung.com/cs/brewers-cap-theorem

Changelog
  • 0.1.0-draft · 2026-01-19
    • Initial audit spec draft generated from HTML extraction (review required).
    • Verify formulas match the calculator engine and convert any text-only formulas to LaTeX.
    • Confirm sources are authoritative and relevant to the calculator methodology.
Version 0.1.0-draft Verified by Ugo Candido Last Updated: 2026-01-19
Version 1.5.0