Topics — What a work is about. Nucleation holds whatever reading the owner files here, whether or not an Anthology of the SOTA topic could also hold it; instruction for ML practice belongs to the anthology (ADR-048). The words are seeded from the clusters the reading-time triage of 2026-09-25 found, and grow by decision.

Causality — causation and the structure of causal relations — causal order, definite and indefinite, and its combinatorics, topology and geometry; sheaf- and process-theoretic accounts of causality; causal models, causal inference and interventionist accounts of what a causal relation is; and the metaphysics of causation — exclusion, mental causation, causal emergence and closure, reciprocal causation (ADR-035).

4 of 191 CASE documents. Back to the full index.

#TitleSummaryStatus
CASE-125 v2A hidden governance bit: an output that is fresh fair noise whatever a fixed hidden bit K is, until an intervention h makes the output read K, so the output alone is exactly informationally closed under ordinary operation and keeps nothing about the response to hA16 §3–4 of the exchange of 2026-10-20, from A15 §2’s deterministic form, and A17’s Proposition 1. A fair hidden bit K, fixed in time; under ordinary operation the output Y is fresh fair noise; under the intervention h = 1 it reads K. The output is exactly closed, and with h = 1 drawn with probability ρ its deficiency for the response to h is ρ bits, no better than a constant. It is the first instance with parameters of CLAIM-122’s supervisory test, which the exchange of 2026-10-17 gave only in words. Fictional by construction; K is a mechanism parameter, not an agent’s governance.Active
CASE-161 v2Reciprocally produced, externally reset and feedback-only governing rules in a 32-member population: with ordinary trajectories identical, reciprocal production repairs the loss of one rule and not of both and fails after producer outages of 36 updates for audit and 40 for admission, after an audit-rule pulse the next audit integrity is 1.00, 0.18 and 0.00 in the three arrangements, and a self-dependent production graph does not regenerate a zeroed ruleVersions 1.6 and 1.7 of the Perspective Population Lab, dmarx/PerspectiveLab@7e2edc2. Two governing rules, the integrity of audit and of evidence admission, are kept up in three ways in the same 32-member population. Ordinary operation cannot tell the three apart, and loss, repair and producer interventions do. It carries CASE-126’s second construction to a stochastic population with a different production law: here reciprocal production repairs a single loss, where the case’s closed pair collapses.Active
CASE-163Identifying how governing rules are maintained from diagnostic probes: a predictor fitted under reciprocal production fails under self-dependent production with histories matched, an audit pulse with a short producer interruption identifies which of four known mechanisms applies and predicts withheld interventions, and fitting decay and threshold as well helps after the parameters shift and hurts at nominal ones, within a known catalog and with every probe run on a counterfactual resetVersions 2.0 to 2.2 of the Perspective Population Lab, dmarx/PerspectiveLab@9f82bfd, on the maintained population of CASE-161. v2.0 shows that a response model does not transport across a change of production law that ordinary histories do not reveal. v2.1 and v2.2 infer the mechanism, and then its parameters, from probes, and predict interventions never probed. Everything is relative to a catalog of four known mechanisms whose equations the forecaster is given, and every probe is a separate branch from the same starting state.Proposed
CASE-164A 192-state organization on which one kernel gives several closure verdicts: the description by agents and phase is informationally closed on the intact support and fails global strong lumpability, its deficiency for the next pair of rule integrities under a declared intervention mixture is 0.55·H₂(1/3) ≈ 0.5051 bits and zero once the maintenance mode is kept, and finite-sample predictive gains misread both a positive and a zero information defectv1.8 of the Perspective Population Lab, dmarx/PerspectiveLab@7e2edc2: a finite organization small enough to enumerate, on which the senses of closure of TERM-068 are computed exactly side by side. The maintenance mode plays CASE-125’s hidden bit: the intact dynamics are the same in every mode, and five of six interventions part them. v1.9, at @9f82bfd, calibrates finite-sample predictive gains against the exact values. It recombines distinctions the record already holds and claims no new theorem.Proposed