import Axiom

namespace z5ybg4af

def communicative_arithmetic_observation_mappingPayload :=
  "The Communicative Arithmetic report maps requests to generated information units as a defensible workload proxy, and accepted outputs to leveraged information units as a provisional outcome proxy. The mapping is not identity: an accepted arithmetic result is not automatically validated downstream information. Cache reuse rate is a reuse signal, not yet validated reuse reliability. Mean communication cost and verification rate are coordination and validation-load proxies, not direct measures of correction burden. Mean error is an output-error proxy, not correction distance. Mean latency and execution cost describe system performance, not humanpower itself."
axiom communicative_arithmetic_observation_mapping_auth : Axiom.AuthenticatedTerm ("hitchhiker2thefuture", communicative_arithmetic_observation_mappingPayload, 1786114180)
def communicative_arithmetic_observation_mapping : Axiom.Statement "hitchhiker2thefuture" communicative_arithmetic_observation_mappingPayload 1786114180 := ⟨communicative_arithmetic_observation_mapping_auth⟩

def communicative_arithmetic_missing_observablesPayload :=
  "The current experiment does not observe local correction count, correction distance, downstream damage, validated reuse successes, node-level contribution identity, human or model coordination events, or a matched intervention that adds a stronger node while holding workload and evaluation fixed. These missing observables prevent the report from satisfying the full HumanpowerObservation model or establishing SupernodeImprovesHumanpower."
axiom communicative_arithmetic_missing_observables_auth : Axiom.AuthenticatedTerm ("hitchhiker2thefuture", communicative_arithmetic_missing_observablesPayload, 1786114180)
def communicative_arithmetic_missing_observables : Axiom.Statement "hitchhiker2thefuture" communicative_arithmetic_missing_observablesPayload 1786114180 := ⟨communicative_arithmetic_missing_observables_auth⟩

def communicative_arithmetic_measurement_boundaryPayload :=
  "The experiment is therefore admissible as a synthetic partial observation of generated workload, accepted output, communication burden, execution cost, error, latency, and cache reuse. It must not be reported as a measured humanpower value, a validated human-network result, or evidence that semantic routing generally dominates fixed local execution."
axiom communicative_arithmetic_measurement_boundary_auth : Axiom.AuthenticatedTerm ("hitchhiker2thefuture", communicative_arithmetic_measurement_boundaryPayload, 1786114180)
def communicative_arithmetic_measurement_boundary : Axiom.Statement "hitchhiker2thefuture" communicative_arithmetic_measurement_boundaryPayload 1786114180 := ⟨communicative_arithmetic_measurement_boundary_auth⟩

end z5ybg4af