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0.28.0
Negatives and Boolean refutations as certificates, an ideal you can steer,
and Lean reading the declaration a binding names. No new commands (59);
three new kinds (60): propositional_refutation, recurrence_table,
repair_refusal. The schema stays 5, with optional fields (eliminated,
nonzero on ideal; lean, mode on lean_binding).
New
prove --drat: a Boolean core -- incidences and countsSum(If(b, 1, 0)) <= kincluded -- encoded by certo and refuted by a DRUP proof that
verifychecks by unit propagation, with no solver in the trusted base.cover --minimum: the minimum number of candidates partitioning (or
covering) a universe, proved by a recurrence over masks whose whole table
is the certificate -- optimality and exhaustiveness, solver-free.- A refused repair is a certificate (
repair_refusal): the step and the
reasons, re-derived byverify. ideal: SUPPLIED cofactors checked with no search; linear definitions
eliminated first and the cofactors lifted back to the original equations,
each substitution replayed byverify;nonzerodenominators as declared
obligations (relative degree, owed instatus);--progress.bindwith Lean: the elaborated type, its hash and its axioms are
recorded; a binding withoutdischargesasks Lean's kernel whether the
declaration's type IS certo's export of the certificate -- PROVED and
kernel_checked, or REFUTED.verify --elaborateasks again.
Fixed
export --theorem NAMEdeclaredCerto.NAME: the exporters' namespace
wrapped the named theorem. Named theorems are written outside it.- The exact LP from the float basis reads the matrix sparsely: a 66 017 x
218 program certified its exact optimum (218) where 0.27 stopped partial at
its budget, never building the dense matrix.