cap-theorem · also Brewer's theorem, Consistency, availability and partition tolerance

CAP theorem

The CAP theorem rules out guaranteeing both linearizable read/write behavior and completion of every read/write request received by a non-failing node when communication may remain partitioned.

Formal scope: Gilbert and Lynch consider a read/write object in an asynchronous network that can lose arbitrarily many messages. Availability requires eventual operation completion, without a fixed response-time bound; consistency means linearizability, not a general claim about database constraints. [1]

Interpretation: The result depends on the service specification. A constant-returning service requiring no coordination is outside this read/write impossibility. A reachable majority serving requests does not establish completion for clients at every non-failing component. [2]

Design: Choosing two letters is not a complete storage contract. Brewer recommends explicit partition behavior and recovery planning; choices can differ by operation or data. Neither the theorem nor an availability label establishes crash durability. [3]

Operational boundary: A response-time budget can trigger partition handling on a slow but connected network. Nodes need not make this decision simultaneously; a timeout is not proof of physical disconnection. [3]

Relations

related
Network partition, Linearizability, Storage availability, Quorum intersection, Data durability, CALM theorem, Invariant confluence

Citations

  1. Gilbert and Lynch. Brewer's Conjecture and the Feasibility of Consistent, Available, Partition-Tolerant Web Services (2002), sections 2.1-2.3 and 3.1. (accessed 2026-11-10)
  2. Seth Gilbert and Nancy A. Lynch. Perspectives on the CAP Theorem (2012), section 2. (accessed 2026-11-10)
  3. Eric Brewer. CAP Twelve Years Later: How the Rules Have Changed. Computer, February 2012, pp. 23-25. (accessed 2026-11-10)

Further reading

  1. Hesela: Storage fencing, CAP and partition-time operation policy (accessed 2026-11-10)
Sources & caveats
  • Primary-source synthesis of the formal read/write model and its design implications; not a cluster experiment or product classification.

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Hesela team. CAP theorem. Hesela. 2026-11-10. https://hesela.dev/terms/cap-theorem/