What failed
The raw sample asks log-domain math to evaluate at a non-positive coordinate.
Explorer / Rescue Suite
Proof-carrying rescue suite
Watch Forge turn optimization failures into reviewable, proof-carrying rescues.
Software replay surface for Forge boundary-event rescue packets. Each lane shows the raw event, named rescue operator, witness transition, trace frames, and MachLib obligation routed by the v0 manifest.
monogate.dev.rescue_suite_explorer_fixture.v0proof-carrying-rescue-v0reviewed artifactWhat rescue did
Forge replays the sample through a positive internal coordinate produced by the log-domain lift.
What is proven
MachLib now has a restricted semantic rewrite theorem for this small log-domain class, plus the concrete positive-coordinate witness.
What is not claimed
This is a restricted theorem for the witness class, not a full semantic rewrite theorem for arbitrary programs.
Lane contract
source fixture
examples/proof_carrying_rescue.emlraw event
domain_wallrescued event
log_domain_rescueMachLib obligation
PositiveCoordinateObligationsemantic strength
restricted_semantic_rewritesamples
6rescued events
3Forge replays the sample through a positive internal coordinate produced by the log-domain lift.
Trace frames
| # | input | raw | rescue | metric |
|---|---|---|---|---|
| 0 | x=-2.0 -> 0.13533528 | domain_wall | log_domain_rescue | finite: false -> true |
| 1 | x=-0.5 -> 0.60653066 | domain_wall | log_domain_rescue | finite: false -> true |
| 2 | x=0.0 -> 1.0 | domain_wall | log_domain_rescue | finite: false -> true |
| 3 | x=0.25 -> 1.28402542 | interior_sample | interior_sample | finite: true -> true |
| 4 | x=1.25 -> 3.49034296 | interior_sample | interior_sample | finite: true -> true |
| 5 | x=2.0 -> 7.3890561 | interior_sample | interior_sample | finite: true -> true |
Selected sample
Sample 0: x=-2.0 -> 0.13533528. The event moves from domain_wall to log_domain_rescue; finite: false -> true.
Replay chain
01 / raw event
domain_wall
02 / rescue operator
log_domain_lift
03 / rescued event
log_domain_rescue
04 / obligation
PositiveCoordinateObligation
05 / semantic tier
restricted_semantic_rewrite
06 / approval
approved_for_existing_public_surfaces
Selected sample review
sample0transitiondomain_wall->log_domain_rescuewitness frametrueallowed claimrestricted_semantic_rewrite
Review packet
reports/proof_carrying_rescue_suite_v0_2026_05_26.jsonreports/proof_carrying_rescue_replay_v0_2026_05_26.jsonreports/rescue_obligation_registry_v0_2026_05_26.jsonreports/rescue_artifact_approval_v0_2026_05_26.jsonManifest
reports/proof_carrying_rescue_suite_v0_2026_05_26.jsonreports/proof_carrying_rescue_replay_v0_2026_05_26.jsonforge.optimizer.proof_carrying_rescue_suite.v0Approval
approved_for_existing_public_surfacessurface:truedeploy:trueClaim boundaries
analysis_onlytrue
simulated_tracetrue
semantic_rewrite_claimfalse
optimizer_release_claimfalse
hardware_observedfalse
completed_formal_proof_claimfalse