Idris.Termination

Documentation

checkAllCovering :: FC -> [Name] -> Name -> Name -> Idris ()

Check whether function and all descendants cover all cases (partial is okay, as long as it's due to recursion)

checkIfGuarded :: Name -> Idris ()

Check whether all Inf arguments to the name end up guaranteed to be guarded by constructors (conservatively... maybe this can do better later). Essentially, all it does is check that every branch is a constructor application with no other function applications.

If so, set the AllGuarded flag which can be used by the productivity check

checkPositive

Arguments

:: [Name]

the group of type declarations

-> (Name, Type)

the constructor

-> Idris Totality

Check if, in a given group of type declarations mut_ns, the constructor cn : ty is strictly positive, and update the context accordingly

calcTotality :: FC -> Name -> [([Name], Term, Term)] -> Idris Totality

Calculate the totality of a function from its patterns. Either follow the size change graph (if inductive) or check for productivity (if coinductive)

checkTotality :: [Name] -> FC -> Name -> Idris Totality

checkDeclTotality :: (FC, Name) -> Idris Totality

verifyTotality :: (FC, Name) -> Idris ()

buildSCG :: (FC, Name) -> Idris ()

Calculate the size change graph for this definition

SCG for a function f consists of a list of: (g, [(a1, sizechange1), (a2, sizechange2), ..., (an, sizechangen)])

where g is a function called a1 ... an are the arguments of f in positions 1..n of g sizechange1 ... sizechange2 is how their size has changed wrt the input to f Nothing, if the argument is unrelated to the input

delazy :: TT Name -> TT Name

delazy' :: Bool -> TT Name -> TT Name

data Guardedness

Constructors

Toplevel

Unguarded

Guarded

Delayed

Instances

Show Guardedness

Methods

showsPrec :: Int -> Guardedness -> ShowS

show :: Guardedness -> String

showList :: [Guardedness] -> ShowS

buildSCG' :: IState -> Name -> [(Term, Term)] -> [Name] -> [SCGEntry]

checkSizeChange :: Name -> Idris Totality

type MultiPath = [SCGEntry]

mkMultiPaths :: IState -> MultiPath -> [SCGEntry] -> [MultiPath]

checkMP :: IState -> Name -> Int -> MultiPath -> Totality

allNothing :: [Maybe a] -> Bool

collapseNothing :: [(Maybe a, b)] -> [(Maybe a, b)]

noPartial :: [Totality] -> Totality

collapse :: [Totality] -> Totality

collapse' :: Totality -> [Totality] -> Totality