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IBAFLang/IBAF-cbs/Funcons-beta/Computations/Abnormal/Abrupting/Abrupting.cbs
2023-11-01 09:29:33 +01:00

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### Abruptly terminating
[
Funcon stuck
Entity abrupted
Funcon finalise-abrupting
Funcon abrupt
Funcon handle-abrupt
Funcon finally
]
Meta-variables
T, T', T'' <: values
Funcon
stuck : =>empty-type
/*
`stuck` does not have any computation. It is used to represent the result of
a transition that causes the computation to terminate abruptly.
*/
Entity
_ --abrupted(_:values?)-> _
/*
`abrupted(V)` in a label on a tranistion indicates abrupt termination for
reason `V`. `abrupted( )` indicates the absence of abrupt termination.
*/
Funcon
finalise-abrupting(X:=>T) : =>T|null-type
~> handle-abrupt(X, null-value)
/*
`finalise-abrupting(X)` handles abrupt termination of `X` for any reason.
*/
Funcon
abrupt(_:values) :=>empty-type
/*
`abrupt(V)` terminates abruptly for reason `V`.
*/
Rule
abrupt(V:values) --abrupted(V)-> stuck
Funcon
handle-abrupt(_:T'=>T, _:T''=>T) : T'=>T
/*
`handle-abrupt(X, Y)` first evaluates `X`. If `X` terminates normally with
value `V`, then `V` is returned and `Y` is ignored. If `X` terminates abruptly
for reason `V`, then `Y` is executed with `V` as `given` value.
`handle-abrupt(X, Y)` is associative, with `abrupt(given)` as left and right
unit. `handle-abrupt(X, else(Y, abrupt(given)))` ensures propagation of
abrupt termination for the given reason if `Y` fails
*/
Rule
X --abrupted( )-> X'
--------------------------------------------------------
handle-abrupt(X, Y) --abrupted( )-> handle-abrupt(X', Y)
Rule
X --abrupted(V:T'')-> X'
----------------------------------------------
handle-abrupt(X, Y) --abrupted( )-> give(V, Y)
Rule
handle-abrupt(V:T, Y) ~> V
Funcon
finally(_:=>T, _:=>null-type) : =>T
/*
`finally(X, Y)` first executes `X`. If `X` terminates normally with
value `V`, then `Y` is executed before terminating normally with value `V`.
If `X` terminates abruptly for reason `V`, then `Y` is executed before
terminating abruptly with the same reason `V`.
*/
Rule
X --abrupted( )-> X'
--------------------------------------------
finally(X, Y) --abrupted( )-> finally(X', Y)
Rule
X --abrupted(V:values)-> X'
-----------------------------------------------------
finally(X, Y) --abrupted()-> sequential(Y, abrupt(V))
Rule
finally(V:T, Y) ~> sequential(Y,V)