Chapter 6: Conclusion¶
What we built¶
The Chapter 6 model adds one honestly scoped worked-example branch of ApplyHeat’s own decomposition: the energy-to-heat path, not a full accounting of every flow ApplyHeat declares. GenerateHeat is a function nested inside ApplyHeat, with a typed energy input and a thermal energy output, committed to no particular energy form or mechanism. HeatGenerator is its abstract logical carrier: it performs GenerateHeat, exposes energyIn, a port typed by the new EnergyPort, and declares an unbound power slot, also committed to no energy form. HeatingAssembly specializes HeatingSystem and composes heatGen : HeatGenerator; heatGenAllocation, nested inside HeatingAssembly itself, allocates the inherited applyHeat’s own generateHeat step (applyHeat.generateHeat) to it at the usage level, the same usage-level idiom Chapter 5 established for heatAllocation, and the nesting a feature chain like this one needs to resolve at all. HeatGenerationReq, stated on HeatGenerator itself rather than any one realization, states a 600 W threshold. AS-C06 records the actual selection: a resistive, electrically switched mechanism, argued from a domain premise about how resistive and combustion mechanisms respond to a discrete timing signal like ControlSystem’s durationOut, not from the port or function already being electrical, and not from anything the model currently connects. Only after that selection does ResistanceCoil’s electrically-specific name and Joule-heating doc become admissible; it specializes HeatGenerator, with a properly unit-typed resistance attribute and a default power rating. rated and weak are two ResistanceCoil candidates, one satisfying the requirement and one failing it by a deliberate design choice, expressed as assert not satisfy folded into its own context rather than a false positive claim. AC-C06 records that the requirement states a measure of performance, not a measure of effectiveness, and that its threshold is not yet derived. AI-C06 records what this branch’s stopping judgment honestly shows and does not yet show, checked against real analysis gathered from the loaded model.
What this establishes¶
The chapter answers its engineering question for one branch: GenerateHeat is a real, specified behavior, allocated to a real logical carrier; HeatGenerator realizes no function by itself, and the model states separately that ResistanceCoil specializes it and that heatGenAllocation assigns GenerateHeat to HeatGenerator’s own usage, so allocation is never collapsed into realization. The recursion’s own stopping rule is only partly met here, and AI-C06 says so directly rather than folding the gaps into a completeness claim: energyIn has no producer wired to it, HeatingAssembly is not yet composed into any full toaster candidate, HeatGenerationReq’s 600 W threshold is not yet derived from a stated measure of effectiveness, and ApplyHeat’s other flows (bread, duration, toast, delivered, loss) are not decomposed or accounted for at this level at all. This chapter builds one branch honestly, the same kind of scope choice Chapter 4 made for ApplyHeat itself out of Douglas’s roughly fifteen functions; it does not claim to finish ApplyHeat’s decomposition, and further branches and connections remain open work.
What comes next¶
Chapter 7 asks how the model behaves at runtime. It builds deliveredEnergy as a calc on HeatGenerator, with a bounded efficiency slot resolved from the carrier’s own bound value, queried through model.eval rather than a symbolic binding; gives the toaster’s state machine, Cycle, a heating state whose do action invokes GenerateHeat and transitions that complete a full run, exhibited by ToastingSystem and inherited by Toaster; and sweeps deliveredEnergy’s own power input against HeatGenerationReq’s own threshold on HeatGenerator::power.
Exercise: The Chapter 6 exercise asks you to nest MoveWater inside ApplyWater, give it an abstract carrier WaterMover, build BrewAssembly :> BrewUnit composing it with a usage-level allocation, and state a BrewReq requirement on WaterMover itself for minimum water throughput; decide for yourself, and justify it, what kind of measure that threshold is, and record which mechanism Impeller (built only after that selection is argued) represents; and write an honestly scoped asserted_inference record stating what the decomposition establishes and does not, with premises referencing the real judgment chain this branch rests on.