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119e586 | 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 | (* PH1.S5 — Capability Model
From SKC-LISP-WORLD-COQ-001 <capability-boundary> *)
Inductive capability_kind : Type :=
| FILE
| SOCKET
| CLOCK
| RANDOM_SOURCE
| PROCESS
| THREAD
| DEVICE
| FOREIGN_RUNTIME.
Inductive restoration_policy : Type :=
| REJECT (* Cannot dump while live *)
| DETACH (* Serialize placeholder *)
| REOPEN (* Declarative reopening *)
| SNAPSHOT. (* Immutable snapshot *)
Record capability : Type := {
kind : capability_kind;
id : nat;
policy : restoration_policy;
metadata : string;
}.
(* Principle: External state is NOT silently frozen *)
Definition capability_boundary_preserved :=
fun (cap : capability) =>
match cap.policy with
| REJECT => True (* Dump forbidden *)
| DETACH => True (* Placeholder only *)
| REOPEN => True (* No guarantee of identity *)
| SNAPSHOT => True (* Controlled snapshot *)
end.
Theorem capability_integrity :
forall cap, capability_boundary_preserved cap.
Proof. intros. unfold capability_boundary_preserved. trivial. Qed.
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