QSA exact rational linear systems - #82
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Exact rational linear-system primitive above accepted PR80 for Brain's typed mathematical/physics procedure layer and QSA's general mathematical platform.
The current exact head adds bounded Gauss-Jordan/RREF over arbitrary-precision
QRational, with canonical sorted variable identities, exact rank/augmented-rank classification, unique/underdetermined/inconsistent states, exact unique solutions, shared QMath scalar/physical type retention, and equation/cell resource caps.The exact-linear cases are now folded into the already-registered native
qstate_logic_testscarrier rather than living in an unregistered duplicate test source. The decision-bearing exact head passed Structural Hardening, Build/Test (including Linux/macOS/Windows C++ validation and sanitizers), and Runtime Evidence. Coverage includes unique 2x2 solve, equation-order-independent canonical result, underdetermined and inconsistent systems, fractional coefficients, arbitrary-precision values, canonical-variable enforcement, width rejection and fail-closed resource caps.Typed QMath-language and persistent-fabric integration is deliberately separated into stacked PR83 rather than being falsely claimed here.
Brain boundary remains unchanged: Brain supplies admitted typed equations/variables and owns semantics/truth/final realization; QSA solves the exact admitted mathematical system and returns exact mathematical receipts.
Research-accepted exact core only. Draft, unmerged, non-production; no merge or production promotion is authorized.