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[ papers ] A bit of tidying up and clarification

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Thomas E. Hansen 2022-09-22 18:06:55 +02:00 committed by CodingCellist
parent d25db9e353
commit cfe18b3d01
2 changed files with 13 additions and 10 deletions
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15
libs/papers/Search/CTL.idr
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@ -391,27 +391,30 @@ parameters (Lbls, Sts : Type)
agSearch : {f : _} -> MC f -> MC (AlwaysGlobal f)
agSearch g = auSearch g (g `mcAND'` isCompleted)
------------------------------------------------------------------------
-- Proof search example
||| This CT is a model of composing the `HiHorse` and `LoRoad` programs.
public export
Tree : CT ((), ()) Nat
Tree = model ((), ()) Nat (HiHorse `pComp` LoRoad) 0
tree : CT ((), ()) Nat
tree = model ((), ()) Nat (HiHorse `pComp` LoRoad) 0
||| Prove that there exists a path where `HiHorse || LoRoad`'s state reaches 10.
||| A half-decider for proving that there exists a path where the shared
||| `HiHorse || LoRoad` state reaches 10.
public export
reaches10 : ? -- HDec (ExistsFinally [...])
reaches10 =
efSearch ((), ()) Nat
(now ((), ()) Nat
(\ st, _ => fromDec $ decEq st 10)) Tree 20
(\st, _ => fromDec $ decEq st 10)) tree 20
||| Prove that the shared state of `HiHorse || LoRoad` reaches 10, using the
||| previously defined half-decider.
export
r10Proof : Models ((), ()) Nat
Tree
CTL.tree
(ExistsFinally ((), ()) Nat
(Guarded ((), ()) Nat (\ st, _ => st === 10)))
r10Proof = diModels ((), ()) Nat (reaches10.evidence Oh)

8
libs/papers/Search/GCL.idr
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@ -421,10 +421,10 @@ dekkers : Diagram (GCL State, GCL State) State
dekkers = (gclToDiag _ dekkers1) `pComp` (gclToDiag _ dekkers2)
||| An attempt at finding a violation of Mutual Exclusion.
||| THIS WILL NOT WORK due to the lack of fairness in the unfolding of the
||| traces. Dekker's algorithm requires fair scheduling in order to be correct,
||| but since we don't have that, we cannot find a proof that no violations of
||| mutex exist.
||| THIS WILL NOT FIND A PROOF due to the lack of fairness in the unfolding of
||| the traces. Dekker's algorithm requires fair scheduling in order to be
||| correct, but since we don't have that, we cannot find a proof that no
||| violations of mutex exist.
|||
||| /!\ Trying to evaluate this did not finish after 10 minutes /!\
public export