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EXPAND within the frozen finite LE fragment. This PR upgrades the carrier compiler's syntax-level C2 classification into exact, replayable semantics for a bounded real single-exponential rational-rate task family.
Implemented:
strict finite expression DAG and rational-rate chart derivation t = exp(-N/q) -> 0+;
finite Laurent/Taylor normal form with exact result and residual;
conservative real-domain witnesses and typed fail-closed/resource failures;
deterministic replay of chart, result, residual, branches, costs, digests, and exactly three C2 obligations;
public controls, same-information SymPy baseline, commit–reveal held-out, and seconds-scale default CI bridge.
held-out result: derived q=3, exact 1/5, normal form 1/5 - t/6 + O(t**2), cancellation jump 4, valid 69-step replay
no post-reveal grammar, budget, or scoring change
Verification
workstream: 18 passed
default CI bridge: 2 passed
post-reveal manifest: verified
compiler/replay path: no generic sympy.limit
Claim boundary
The same-information SymPy baseline also computes every numerical answer. The software gain is explicit semantics and replayable C2 discharge, not a raw computability/speed advantage. Surreal numbers play no substantive runtime role here. No general LE/transseries/hyperseries/surreal, symbolic-height, arbitrary nesting, complexity, Core, Theory Map, or Public API claim is made.
The evaluator implementation is now remotely frozen at 5df657d450233e14fa6d77a1efb5be36d6bc02e6 (tree dc5d1d292952423984cbba6fc240aaedd8996bde).
Pre-reveal checks:
nested workstream: 15 passed
default CI bridge: 2 passed
manifest: verified
compiler/replay path contains no generic sympy.limit call
The preimplementation held-out commitment remains eedef97f8071ea3da687a805b7ea3e8385aa49c0829f2c962a3c6bc8ec181655. The reveal gate is now open. This is explicitly a self-commit/reveal check, not independent-agent evidence.
same-information SymPy baseline: 1/5 (no certificate/replay credit)
Local verification is green: 18 workstream tests, 2 default CI bridge tests, and the post-reveal manifest. Disposition: EXPAND within the exact frozen fragment, with no broader surreal/transseries claim.
mountain
changed the title
research: add finite LE semantic evaluator gate
research: finite LE semantic evaluator with replayable C2 evidence
Aug 27, 2026
CI #1809 is green: Python 3.10 and 3.14 compatibility jobs passed; the Python 3.12 full-test-and-build job passed. The research gate is complete and the PR is being marked ready for review.
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Closes #144.
Outcome
EXPAND within the frozen finite LE fragment. This PR upgrades the carrier compiler's syntax-level C2 classification into exact, replayable semantics for a bounded real single-exponential rational-rate task family.
Implemented:
t = exp(-N/q) -> 0+;Commit–reveal
eedef97f8071ea3da687a805b7ea3e8385aa49c0829f2c962a3c6bc8ec1816555df657d450233e14fa6d77a1efb5be36d6bc02e6q=3, exact1/5, normal form1/5 - t/6 + O(t**2), cancellation jump 4, valid 69-step replayVerification
sympy.limitClaim boundary
The same-information SymPy baseline also computes every numerical answer. The software gain is explicit semantics and replayable C2 discharge, not a raw computability/speed advantage. Surreal numbers play no substantive runtime role here. No general LE/transseries/hyperseries/surreal, symbolic-height, arbitrary nesting, complexity, Core, Theory Map, or Public API claim is made.