To Throw a Stone with Six Birds: On Agents and Agenthood

arXiv cs.AI / 4/7/2026

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Key Points

  • The paper introduces a type-correct account of agency within the “Six Birds Theory” (SBT), separating persistence-as-object from control-as-counterfactual difference to make agency claims more testable.
  • It defines an agent as a maintained theory object with feasible interface policies that can steer outside futures while staying viable via ledgered constraints.
  • The authors operationalize the theory in finite controlled systems using four checkable components: ledger-gated feasibility, a viability kernel (greatest fixed point) under successor-support semantics, feasible empowerment as a proxy for difference-making, and an “idempotence defect” to quantify objecthood under coarse observation.
  • Experiments in a minimal “ring-world” with configurable toggles show distinct separations: repairs collapse the idempotence defect, protocols raise empowerment only at multi-step horizons, and operator rewriting learned monotonically increases median empowerment.
  • The work emphasizes reproducible, audited artifacts and proposes hash-traceable tests that aim to distinguish agenthood from agency without invoking goals, consciousness, or biological assumptions.

Abstract

Six Birds Theory (SBT) treats macroscopic objects as induced closures rather than primitives. Empirical discussions of agency often conflate persistence (being an object) with control (making a counterfactual difference), which makes agency claims difficult to test and easy to spoof. We give a type-correct account of agency within SBT: a theory induces a layer with an explicit interface and ledgered constraints; an agent is a maintained theory object whose feasible interface policies can steer outside futures while remaining viable. We operationalize this contract in finite controlled systems using four checkable components: ledger-gated feasibility, a robust viability kernel computed as a greatest fixed point under successor-support semantics, feasible empowerment (channel capacity) as a proxy for difference-making, and an empirical packaging map whose idempotence defect quantifies objecthood under coarse observation. In a minimal ring-world with toggles for repair, protocol holonomy, identity staging, and operator rewriting, matched-control ablations yield four separations: calibrated null regimes with single actions show zero empowerment and block model-misspecification false positives; enabling repair collapses the idempotence defect; protocols increase empowerment only at horizons of two or more steps; and learning to rewrite operators monotonically increases median empowerment (0.73 to 1.34 bits). These results provide hash-traceable tests that separate agenthood from agency without making claims about goals, consciousness, or biological organisms, and they are accompanied by reproducible, audited artifacts.