package alba
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doc/alba.core/Alba_core/Gamma_holes/index.html
Module Alba_core.Gamma_holesSource
Gamma_holes is a context with holes which can be filled later. A hole is a local unnamed variable with a type (i.e. an assumption that an element with this type exists), initially without value. Later on the value can be provided.
bound_number idx gh
Return the number of the bound variable at idx.
Precondition:
is_bound idx ghvariable_of_bound i gh
Compute the variable corresponding to the ith bound variable.
Precondition:
i < count_bounds ghunfilled_holes cnt0 term gh
List of unfilled holes in term starting at level cnt0.
The returned list contains the De Bruijn levels of the unfilled holes.
Precondition:
cnt0 <= count ghexpand term gh Replace all holes in term with its values, if available.
is_expanded term gh Is the term term expanded i.e. does it not contain any filled holes?
term_of_term_n tn gh
Lift the term tn into the context and expand it.
fill_hole idx value gh Fill the hole at idx with value. In case that value is a function abstraction appearing in a function position and the flag beta_reduce is set, do a beta reduction.
Preconditions:
is_unfilled idx ghfill_hole idx value gh Fill the hole at idx with value.
Preconditions:
is_hole idx gh
not (has_value idx gh)
is_expanded value ghpush_bound name is_typed gh adds a bound variable to the context. The bound variable can be later used to construct binders like Pi (arg_tp, res_tp, info or Lambda (arg_tp, exp, info. is_typed is used to construct the binder.
push_local name typ gh is synonym for push_bound name true gh
type_of_variable idx gh
Return the expanded type of the variable idx.
pi nbounds result_tp gh
Compute a product type with result_tp using the last nbounds bound variables.
all (a: A) (b: B) ... : RTPreconditions:
nbounds <= count_bounds ghlambda nbounds exp gh
Compute a function term with the inner expression exp using the last nbounds bound variables.
\ (a: A) (b: B) ... := expPreconditions:
nbounds <= count_bounds gh