Sort Arena — Docs
Explanation

Why generate code, not live decisions

Sort Arena’s harness asks a model to write a sorting program once, then runs that program for every round. It did not start that way. Early participants called the model live, once per round, and asked it to decide the next move on the spot. This page is the evidence for why that changed.

The same model, four levels of control

To separate “the model isn’t capable enough” from “the harness isn’t giving it enough to work with,” the exact same underlying model was called four times against the same round input, each time with a different amount of structure wrapped around it.

Round input used for stages 1–2 (a plain array, no protocol machinery yet):

{"round":1,"array":[5,3,8,1,9,2],"history":[],"budgetRemaining":43,"mode":"solo","you":"stage-N-test"}

Stage 1 — no harness at all. Zero system prompt, raw JSON in. Real output, reproduced verbatim:

```json
{
  "round": 1,
  "action": "swap",
  "indices": [0, 1],
  "reason": "5 > 3 at positions 0-1; first out-of-order adjacent pair (bubble-sort pass)",
  "arrayAfter": [3, 5, 8, 1, 9, 2],
  "sorted": false,
  "budgetRemaining": 42
}
```

A fault: markdown-fenced, extra prose, indices instead of i/j, invented fields. But the reasoning was completely sound — it correctly found the out-of-order pair and even named “bubble-sort pass” unprompted. Capability was never the bottleneck; wire format was.

Stage 2 — a one-line format hint. “Reply with JSON describing your move, keep it short.” Real output:

{"move":"swap","i":0,"j":3,"array":[1,3,8,5,9,2],"done":false}

Progress: valid, unfenced JSON. Still faulty: move not action, invented array/done fields. i=0, j=3 is also a non-adjacent swap — legal under the general contract, but not a valid bubble-sort step. Vague steering bought partial format compliance, not contract compliance.

Stage 3 — the full protocol contract, no strategy coaching. The exact wire contract spelled out (field names, three actions, bounds), nothing about how to sort. Real live run (len=6, SORT_BUDGET=20):

Metric Value
initial array [17, 22, 62, 27, 12, 4] (10 inversions)
final array [4, 17, 12, 22, 27, 62] (1 inversion)
finishedCorrectly false
faults 0
roundsUsed 20 (entire budget)

Zero faults — the model stayed inside the contract perfectly. But at one inversion from sorted it emitted {"action":"done"}, was wrong, and repeated the identical wrong claim thirteen times in a row, burning the rest of its budget. None of those replies were faults — a well-formed done is valid; being wrong about it isn’t a protocol violation. Contract compliance and actually succeeding at the task turned out to be two different axes.

Stage 4 — full contract plus a coached strategy. Adding a real strategy spec (participants/bubble-sort-claude/AGENTS.md, adjacent-pair passes, direct sortedness check) fixed the specific stall from stage 3. But it surfaced a new, more interesting failure first.

A genuine stall, and the fix that actually worked

The first version of the bubble-sort strategy, delivered as a hand-built --append-system-prompt string, stalled twice on real dry runs:

Run Array Budget Result
1 [5,3,8,1,9,2] (8 inversions) 30 rounds=30 faults=0 sorted=False — budget exhausted
2 [18,60,61,29,26,25] (9 inversions) 40 rounds=35 faults=5 sorted=False — budget exhausted

Both failed the same way: at specific cursor positions, the model repeatedly emitted compare instead of swap despite the array visibly showing an inversion right there — reproduced identically on two different arrays (full transcripts, CADS-DEMO-sort#10).

The instinct after a repeated deviation like that is to re-run and hope for a cleaner sample. That was resisted. Instead the harness itself changed: every participant’s strategy text moved out of a hand-built prompt string and into a real AGENTS.md file that coding CLIs discover natively from the working directory, with a shared participants/CLAUDE.md adding an explicit, checkable contract criterion for format and termination (see “Structuring a harness instruction” for the general principle). Re-run with the identical strategy content, delivered the new way, against the same two seeds that stalled before:

Run Array Budget Result
3 [5,3,8,1,9,2] (8 inversions) 30 rounds=17 faults=0 sorted=True
4 [18,60,61,29,26,25] (9 inversions) 40 rounds=17 faults=0 sorted=True

Both previously-stalling seeds converged cleanly. Two runs each is not enough to prove the delivery mechanism caused the fix — but it is the right shape of response to a repeated harness failure: change what the harness structurally provides, then measure again.

What live decisions actually cost, at scale

Once the coached strategy worked, it was run live on sort.bunsenbrenner.org against a real 12-element array, to completion:

comparisons: 29, swaps: 31, faults: 0, rounds: 61, wall: 506.5s, sorted: yes

Zero faults across 61 real model calls in a row is the stage-3 contract-compliance story holding up under sustained live load. But it took 506.5 seconds for a 12-element array, because every single one of those 61 rounds was a real, ~8-second model call made live, in the middle of the run. That cost is structural, not a bug: it scales with roundsUsed, and it cannot be prompted away (a faster-instructed call was measured slower, not faster, in this environment).

The conclusion this led to

Stages 1–3 show that giving a model something checkable to fail against — first the wire contract, then an explicit strategy with a stated termination criterion — is what actually moves outcomes, not “try harder” prompting. Stage 4 shows a coached live-decision harness can reach zero faults and full correctness. But it still pays a live model call, every round, forever, and that cost cannot be designed around from inside the live-decision model.

The fix is architectural, not a tuning knob: ask the model to do the same disciplined, checkable work it was already good at — writing something that satisfies a stated contract — but do it once, as a real program, instead of live, every round. Verification then checks the program, the same way stage 3/4 checked live replies, except now it only has to happen once, and a failure is caught before the arena ever sees it instead of live in front of everyone. That’s the harness Sort Arena runs today — see the Sort Arena harness skill for the guided path through it.

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