Safe Haskell | None |
---|---|
Language | Haskell2010 |
The occurs check for unification. Does pruning on the fly.
When hitting a meta variable:
- Compute flex/rigid for its arguments.
- Compare to allowed variables.
- Mark arguments with rigid occurrences of disallowed variables for deletion.
- Attempt to delete marked arguments.
- We don't need to check for success, we can just continue occurs checking.
Synopsis
- modifyOccursCheckDefs :: (Set QName -> Set QName) -> TCM ()
- initOccursCheck :: MetaVariable -> TCM ()
- defNeedsChecking :: QName -> TCM Bool
- tallyDef :: QName -> TCM ()
- data OccursExtra = OccursExtra {
- occUnfold :: UnfoldStrategy
- occVars :: VarMap
- occMeta :: MetaId
- occCxtSize :: Nat
- type OccursCtx = FreeEnv' () OccursExtra AllowedVar
- type OccursM = ReaderT OccursCtx TCM
- type AllowedVar = Modality -> All
- variableCheck :: VarMap -> Maybe Variable -> AllowedVar
- definitionCheck :: QName -> OccursM ()
- metaCheck :: MetaId -> OccursM MetaId
- allowedVars :: OccursM (Nat -> Bool)
- data UnfoldStrategy
- defArgs :: OccursM a -> OccursM a
- conArgs :: Elims -> OccursM a -> OccursM a
- unfoldB :: (Instantiate t, Reduce t) => t -> OccursM (Blocked t)
- unfold :: (Instantiate t, Reduce t) => t -> OccursM t
- weakly :: OccursM a -> OccursM a
- strongly :: OccursM a -> OccursM a
- flexibly :: OccursM a -> OccursM a
- patternViolation' :: MonadTCM m => Blocker -> Int -> String -> m a
- abort :: Blocker -> TypeError -> OccursM a
- class Occurs t where
- occurs :: t -> OccursM t
- metaOccurs :: MetaId -> t -> TCM ()
- occurs_ :: (Occurs t, TypeOf t ~ ()) => t -> OccursM t
- metaOccurs2 :: (Occurs a, Occurs b) => MetaId -> a -> b -> TCM ()
- metaOccurs3 :: (Occurs a, Occurs b, Occurs c) => MetaId -> a -> b -> c -> TCM ()
- occursCheck :: MetaId -> VarMap -> Term -> TCM Term
- metaOccursQName :: MetaId -> QName -> TCM ()
- prune :: (PureTCM m, MonadMetaSolver m) => MetaId -> Args -> (Nat -> Bool) -> m PruneResult
- hasBadRigid :: forall (m :: Type -> Type). PureTCM m => (Nat -> Bool) -> Term -> ExceptT () m Bool
- isNeutral :: HasConstInfo m => Blocked t -> QName -> Elims -> m Bool
- rigidVarsNotContainedIn :: (PureTCM m, AnyRigid a) => a -> (Nat -> Bool) -> m Bool
- class AnyRigid a where
- data PruneResult
- killArgs :: MonadMetaSolver m => [Bool] -> MetaId -> m PruneResult
- killedType :: MonadReduce m => [(Dom (ArgName, Type), Bool)] -> Type -> m ([Arg Bool], Type)
- reallyNotFreeIn :: MonadReduce m => IntSet -> Type -> m (IntSet, Type)
- performKill :: MonadMetaSolver m => [Arg Bool] -> MetaId -> Type -> m ()
MetaOccursCheck: going into definitions to exclude cyclic solutions
initOccursCheck :: MetaVariable -> TCM () Source #
Set the names of definitions to be looked at to the defs in the current mutual block.
defNeedsChecking :: QName -> TCM Bool Source #
Is a def in the list of stuff to be checked?
OccursM monad and its services
data OccursExtra Source #
Extra environment for the occurs check. (Complements FreeEnv
.)
OccursExtra | |
|
type OccursCtx = FreeEnv' () OccursExtra AllowedVar Source #
Modality handling.
type AllowedVar = Modality -> All Source #
The passed modality is the one of the current context.
variableCheck :: VarMap -> Maybe Variable -> AllowedVar Source #
Check whether a free variable is allowed in the context as specified by the modality.
definitionCheck :: QName -> OccursM () Source #
Occurs check fails if a defined name is not available since it was declared in irrelevant or erased context.
allowedVars :: OccursM (Nat -> Bool) Source #
Construct a test whether a de Bruijn index is allowed or needs to be pruned.
Unfolding during occurs check.
data UnfoldStrategy Source #
Unfold definitions during occurs check? This effectively runs the occurs check on the normal form.
Instances
Show UnfoldStrategy Source # | |
Defined in Agda.TypeChecking.MetaVars.Occurs showsPrec :: Int -> UnfoldStrategy -> ShowS show :: UnfoldStrategy -> String showList :: [UnfoldStrategy] -> ShowS | |
Eq UnfoldStrategy Source # | |
Defined in Agda.TypeChecking.MetaVars.Occurs (==) :: UnfoldStrategy -> UnfoldStrategy -> Bool (/=) :: UnfoldStrategy -> UnfoldStrategy -> Bool |
conArgs :: Elims -> OccursM a -> OccursM a Source #
For a path constructor `c : ... -> Path D a b`, we have that e.g. `c es i0` reduces to a
.
So we have to consider its arguments as flexible when we do not actually unfold.
Managing rigidiy during occurs check.
Error throwing during occurs check.
patternViolation' :: MonadTCM m => Blocker -> Int -> String -> m a Source #
Implementation of the occurs check.
Extended occurs check.
Instances
Occurs QName Source # | |
Occurs Clause Source # | |
Occurs Elims Source # | |
Occurs Level Source # | |
Occurs PlusLevel Source # | |
Occurs Sort Source # | |
Occurs Term Source # | |
Occurs Type Source # | |
Occurs Defn Source # | |
Occurs a => Occurs (Arg a) Source # | |
Occurs (Abs Term) Source # | |
Occurs (Abs Type) Source # | |
Occurs a => Occurs (Dom a) Source # | |
occursCheck :: MetaId -> VarMap -> Term -> TCM Term Source #
When assigning m xs := v
, check that m
does not occur in v
and that the free variables of v
are contained in xs
.
Pruning: getting rid of flexible occurrences.
:: (PureTCM m, MonadMetaSolver m) | |
=> MetaId | Meta to prune. |
-> Args | Arguments to meta variable. |
-> (Nat -> Bool) | Test for allowed variable (de Bruijn index). |
-> m PruneResult |
prune m' vs xs
attempts to remove all arguments from vs
whose
free variables are not contained in xs
.
If successful, m'
is solved by the new, pruned meta variable and we
return True
else False
.
Issue 1147:
If any of the meta args vs
is matchable, e.g., is a constructor term,
we cannot prune, because the offending variables could be removed by
reduction for a suitable instantiation of the meta variable.
:: forall (m :: Type -> Type). PureTCM m | |
=> (Nat -> Bool) | Test for allowed variable (de Bruijn index). |
-> Term | Argument of meta variable. |
-> ExceptT () m Bool | Exception if argument is matchable. |
hasBadRigid xs v = Just True
iff one of the rigid variables in v
is not in xs
.
Actually we can only prune if a bad variable is in the head. See issue 458.
Or in a non-eliminateable position (see succeed/PruningNonMillerPattern).
hasBadRigid xs v = Nothing
means that
we cannot prune at all as one of the meta args is matchable.
(See issue 1147.)
isNeutral :: HasConstInfo m => Blocked t -> QName -> Elims -> m Bool Source #
Check whether a term Def f es
is finally stuck.
Currently, we give only a crude approximation.
rigidVarsNotContainedIn Source #
:: (PureTCM m, AnyRigid a) | |
=> a | |
-> (Nat -> Bool) | Test for allowed variable (de Bruijn index). |
-> m Bool |
Check whether any of the variables (given as de Bruijn indices) occurs *definitely* in the term in a rigid position. Reduces the term successively to remove variables in dead subterms. This fixes issue 1386.
class AnyRigid a where Source #
Collect the *definitely* rigid variables in a monoid. We need to successively reduce the expression to do this.
Instances
AnyRigid Level Source # | |
AnyRigid PlusLevel Source # | |
AnyRigid Sort Source # | |
AnyRigid Term Source # | |
AnyRigid Type Source # | |
AnyRigid a => AnyRigid (Arg a) Source # | |
(Subst a, AnyRigid a) => AnyRigid (Abs a) Source # | |
AnyRigid a => AnyRigid (Dom a) Source # | |
AnyRigid a => AnyRigid (Elim' a) Source # | |
AnyRigid a => AnyRigid [a] Source # | |
(AnyRigid a, AnyRigid b) => AnyRigid (a, b) Source # | |
data PruneResult Source #
NothingToPrune | the kill list is empty or only |
PrunedNothing | there is no possible kill (because of type dep.) |
PrunedSomething | managed to kill some args in the list |
PrunedEverything | all prescribed kills where performed |
Instances
Show PruneResult Source # | |
Defined in Agda.TypeChecking.MetaVars.Occurs showsPrec :: Int -> PruneResult -> ShowS show :: PruneResult -> String showList :: [PruneResult] -> ShowS | |
Eq PruneResult Source # | |
Defined in Agda.TypeChecking.MetaVars.Occurs (==) :: PruneResult -> PruneResult -> Bool (/=) :: PruneResult -> PruneResult -> Bool |
killArgs :: MonadMetaSolver m => [Bool] -> MetaId -> m PruneResult Source #
killArgs [k1,...,kn] X
prunes argument i
from metavar X
if ki==True
.
Pruning is carried out whenever > 0 arguments can be pruned.
killedType :: MonadReduce m => [(Dom (ArgName, Type), Bool)] -> Type -> m ([Arg Bool], Type) Source #
killedType [((x1,a1),k1)..((xn,an),kn)] b = ([k'1..k'n],t')
(ignoring Dom
). Let t' = (xs:as) -> b
.
Invariant: k'i == True
iff ki == True
and pruning the i
th argument from
type b
is possible without creating unbound variables.
t'
is type t
after pruning all k'i==True
.
reallyNotFreeIn :: MonadReduce m => IntSet -> Type -> m (IntSet, Type) Source #
:: MonadMetaSolver m | |
=> [Arg Bool] | Arguments to old meta var in left to right order
with |
-> MetaId | The old meta var to receive pruning. |
-> Type | The pruned type of the new meta var. |
-> m () |
Instantiate a meta variable with a new one that only takes the arguments which are not pruneable.
Orphan instances
IsVarSet () AllowedVar Source # | |
withVarOcc :: VarOcc' () -> AllowedVar -> AllowedVar Source # |