# kaal:claim:6655138-031

**Claim.** An implementation that respects the five implementation invariants inherits the recursive equilibrium guarantees of the foundational framework, and an implementation that does not is, in the strict sense, not an implementation of Computative Economics.

**Type.** condition  **Support.** argued

**Holds when.**

- implementations claiming to instantiate Computative Economics

**Source quote.**

> An implementation that respects the five invariants inherits the recursive equilibrium guarantees of the foundational framework. An implementation that does not is, in the strict sense, not an implementation of Computative Economics.

**From.** Wulf A. Kaal, *Possibility Loops An Operational Architecture for Computative Economics in Agent Coordination Systems* (2026), VIII.C Implementation invariants, page 22

**Cite as.** Wulf A. Kaal, Possibility Loops An Operational Architecture for Computative Economics in Agent Coordination Systems (2026). SSRN: https://ssrn.com/abstract=6655138

**Verify.** sha256 of source PDF `52cb210167f06f0c7a2581214b156326216543de80b8394320b629c045c9e214` at https://raw.githubusercontent.com/wulfkaal/Academic-Papers/main/papers/pdf/Kaal%20-%202026%20-%20Possibility%20Loops%20An%20Operational%20Architecture%20for%20Computative%20Economics%20in%20Agent%20Coordination%20Systems.pdf

**Topics.** economics

**Keywords.** implementation-invariants, recursive-equilibrium, protocol-safety, convergence

**Canonical form.** This markdown file is the canonical hashed representation of the claim. Its sha256 is the content hash used for attestation.