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Claude/new session up7579 cut - #40
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Maintainer decision on MRC-01's open question: adopt the estate's v4.34.0 floor (F-11) before any rung-3 module lands, as its own change. The tree at ea1920a was built on both toolchains before the switch: both completed with no warnings and the same `#eval orbit`, so no source change is needed. README's build line and STATE.adoc are updated to match. Gates (v4.34.0): lake build -> Build completed successfully (14 jobs); grep -rnw sorry empty; #eval orbit unchanged. Rung: 3 (preparation; rung stays OPEN) Co-Authored-By: Claude Opus 5.5 <noreply@anthropic.com> Claude-Session: https://claude.ai/code/session_01VTeVWDEJgdYKsUNr4uhnXX
Marches/Cut.lean (new): a cut of the region DAG is a set of regions closed under predecessors. - Cut.edge_crosses_past: in an acyclic graph every edge leaves the principal cut of its source; Cut.path_back_crosses_no_cut: an edge on a cycle crosses no cut, so Acyclic is load-bearing. - DiscSys.trace_cross_crosses_cut: every crossing in a well-typed composite trace crosses a cut holding the trace's start, not its end. - DiscSys.trace_mem_back / trace_inside / no_reentry: a trace ending in a cut was inside it all along; a trace that leaves a cut never re-enters (no_back_cross lifted from one interface to every cut). - DiscSys.composeCut: compose restricted to a cut prefix is a Discipline (prefix-closure); composeCut_trace_embed / composeCut_trace_reflect: its traces are exactly the composite's traces that end in the prefix. - Two-region Interface: trace_cross_crosses_cut, trace_stays_in_B. - CutExhibit: a concrete twoTropical trace, and a negative control. Marches/Tropical.lean: TropicalGrade reads TropicalNat as a (min,+) grade. seq_unitl and alt_idem are the two laws K-CUT-LOSS uses (K-4). better_reverses_altLe, altLe_one and s3_witness record that marches' `better` runs against its own induced order (S-3 / W-4 direction). Every new declaration depends on no axioms (#print axioms) and nothing re-declares an Agda definition. Gates: lake build -> Build completed successfully (15 jobs); grep -rnw sorry empty; #eval orbit unchanged. Rung: 3 (rung stays OPEN) Co-Authored-By: Claude Opus 5.5 <noreply@anthropic.com> Claude-Session: https://claude.ai/code/session_01VTeVWDEJgdYKsUNr4uhnXX
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Signed-off-by: Jonathan D.A. Jewell <6759885+hyperpolymath@users.noreply.github.com>
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git commit -S).SPDX-License-Identifier(code/configMPL-2.0,prose
CC-BY-SA-4.0); I did not relicense existing files.Notes for reviewers