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A new Lake project with path dependencies on the three sibling kernels
(golang-lean, octive-lean, tsm-lean). Provides typeclass abstractions
that capture what's structurally shared.
Common/ — three files:
Lang.lean — two typeclasses:
BigStepLang: Term, Value, State, Eval, deterministic.
Captures TGC's and TOC's big-step shape.
SmallStepLang: State, step.
Captures TSM's small-step shape (determinism is
automatic from `step` being a function).
Generic theorems exported once:
BigStepLang.unique_value, BigStepLang.unique_state
SmallStepLang.step_deterministic
Plus a `CompileCorrect` structure for substrate-projection
theorems (the categorical kernel of CompCert-style results).
Instances.lean — three instances:
TGCLang : BigStepLang (State := Heap × Env)
TOCLang : BigStepLang (State := Env)
TSMLang : SmallStepLang (State := TSM.State)
Each instance bridges the local kernel's existing
`BigStep`/`step` + `deterministic` proof into the typeclass.
Demo.lean — three application examples:
The SAME `BigStepLang.unique_value` theorem applied to TGC and
TOC; `SmallStepLang.step_deterministic` to TSM. One abstract
definition, three concrete payoffs.
The factoring is real: any new theorem stated over the typeclasses
applies to all instances. Future theorems (compilation correctness,
type soundness, simulation) can be expressed abstractly and proved
once.
Zero sorries / axioms / admits across all four projects.
1 line
29 B
Text
1 line
29 B
Text
leanprover/lean4:v4.30.0-rc2
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