refactor: reorganize SymM and GrindM monad hierarchy
#11909
Merged
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This PR reorganizes the monad hierarchy for symbolic computation in Lean.
Motivation
We want a clean layering where:
SymM) provides maximally shared terms and structural/syntacticisDefEqGrindMbuilds on this foundation, adding E-graphs, congruence closure, and decision proceduresGrindMdirectly without introducing a third monadChanges
The core symbolic computation layer still lives in
Lean.Meta.Sym. This monad (SymM) provides:isDefEqand matching (no reduction, predictable cost)revertorclear), enabling O(1) metavariable validationintro,apply, andsimpimplementationsThe name "Sym" reflects that this is infrastructure for symbolic computation: symbolic simulation, verification condition generation, and decision procedures.
Updated hierarchy
Symbolic execution is a usage pattern of
GrindMoperating onGrind.Goal, not a separate monad. This keeps the API surface minimal: users learn two monads, and VCGen is "how you useGrindM" (for users that want to usegrind) rather than a third abstraction to understand.