mockProgram
The mock program definition supplies a constant BALANCE operation for cycle evaluation examples in the VM. It is referenced by cycle report constructions for smoke tests of commit boundaries. The definition is implemented as a direct constant function with no additional logic or computation.
claimDefine the mock program $M$ by $M(x) = s$ where $s$ is the state with opcode BALANCE, for arbitrary input $x$.
background
The VM module models program execution under a conservative COMMIT boundary predicate with the v2 flag. Programs are functions from inputs to opcode states, and the mock supplies a baseline augmented state for examples. It depends on the for structure from UniversalForcingSelfReference, which records all structural properties that would be required of a meta-realization instance and proves that the meta-theorem already supplies each one.
proof idea
The definition is a direct one-line construction of the constant function returning the BALANCE opcode.
why it matters in Recognition Science
This definition supports the cycleReport smoke-test for tooling, which evaluates lCycle on the mock and reports window index, winJ, and commit event. It provides simple inputs for testing cycle windows in the VM commit module and touches the self-reference axioms in the forcing chain by supplying baseline cases.
scope and limits
- Does not define full program execution semantics or state transitions.
- Does not perform any cycle computation or J-cost evaluation.
- Does not incorporate phi-ladder mass formulas or forcing chain steps T5-T8.
- Does not address constants such as alpha inverse or spatial dimension D=3.
formal statement (Lean)
16@[simp] def mockProgram : LProgram := fun _ => { op := Opcode.BALANCE }
proof body
Definition body.
17
18/-- Baseline augmented state for examples. -/