module module moderate

`IndisputableMonolith.Foundation.OptionAEmpiricalProgram`

This module defines the structure and basic properties for an executable row in the Option A first-pass empirical program. It extends the four-layer readiness gate imported from OptionAEmpiricalReadiness. Researchers constructing empirical tests of Recognition Science predictions would reference these definitions to specify program pipelines. The module consists of type definitions and simple lemmas on program structure.

claimA specification for one executable row in the Option A first-pass empirical program, equipped with associated functions and lemmas establishing injectivity together with absence of duplicates across actions, deliverables, and pipelines.

background

The module sits in the Foundation domain and imports the Option A Empirical Readiness module. That upstream module states a combination is ready when it possesses all four operational layers: falsifier protocol, analysis action, and deliverable artifact. The present module supplies the concrete program row that can be checked against those layers. It introduces the program specification structure along with derived facts on length, uniqueness, and scheduling.

proof idea

this is a definition module, no proofs

why it matters in Recognition Science

This module supplies the executable program definitions required by the Option A empirical readiness framework. It provides the base structures that must satisfy the four-layer gate before any empirical test of Recognition Science predictions can proceed. No downstream references appear in the current graph, indicating it serves as an early foundation block for later empirical pipeline theorems.

scope and limits

Does not implement concrete falsifier protocols or analysis code.
Does not prove readiness for any specific combination of layers.
Does not address empirical programs beyond the first-pass stage.
Does not contain numerical data or test results.

depends on (1)

Lean names referenced from this declaration's body.

IndisputableMonolith.Foundation.OptionAEmpiricalReadiness module_import

declarations in this module (17)

structure ProgramSpec L29
def programSpec L39
theorem programSpec_injective L48
def firstPassProgram L53
theorem firstPassProgram_length L56
theorem firstPassProgram_nodup L61
theorem firstPassProgram_exact_top_priority L67
theorem scheduled_program_ready L71
theorem scheduled_program_pipeline L76
theorem firstPassProgram_actions_nodup L81
theorem firstPassProgram_deliverables_nodup L85
theorem firstPassProgram_pipelines_nodup L89
class is L94
def FirstPassProgramComplete L95
theorem firstPassProgramComplete L104
structure EmpiricalProgramCert L109
def empiricalProgramCert L127