### we need unlocked value lambdas

parent 42eb5ad3
 ... @@ -117,11 +117,11 @@ The normal `e1 ||| e2` notation uses expression lambdas, because clearly we want ... @@ -117,11 +117,11 @@ The normal `e1 ||| e2` notation uses expression lambdas, because clearly we want value lambda). However, the *specification* for parallel composition should use value lambda). However, the *specification* for parallel composition should use value lambdas, because prior to applying it the term will be reduced as much as value lambdas, because prior to applying it the term will be reduced as much as possible to achieve a normal form. To facilitate this, we define a copy of the possible to achieve a normal form. To facilitate this, we define a copy of the `e1 ||| e2` notation in the value scope that uses value lambdas. This is not `e1 ||| e2` notation in the value scope that uses *unlocked* value lambdas. actually a value, but we still but it in the value scope to differentiate from This is not actually a value, but we still but it in the value scope to the other notation that uses expression lambdas. (In the future, we might differentiate from the other notation that uses expression lambdas. (In the decide to add a separate scope for this.) Then, we write the canonical future, we might decide to add a separate scope for this.) Then, we write the specification using the notation in the value scope. canonical specification using the notation in the value scope. This works very well for non-recursive notions. For `while` loops, the This works very well for non-recursive notions. For `while` loops, the situation is unfortunately more complex and proving the desired specification situation is unfortunately more complex and proving the desired specification ... ...
 ... @@ -12,7 +12,7 @@ Definition par : val := ... @@ -12,7 +12,7 @@ Definition par : val := let: "v1" := join "handle" in let: "v1" := join "handle" in ("v1", "v2"). ("v1", "v2"). Notation "e1 ||| e2" := (par (λ: <>, e1)%E (λ: <>, e2)%E) : expr_scope. Notation "e1 ||| e2" := (par (λ: <>, e1)%E (λ: <>, e2)%E) : expr_scope. Notation "e1 ||| e2" := (par (λ: <>, e1)%V (λ: <>, e2)%V) : val_scope. Notation "e1 ||| e2" := (par (LamV BAnon e1%E) (LamV BAnon e2%E)) : val_scope. Section proof. Section proof. Local Set Default Proof Using "Type*". Local Set Default Proof Using "Type*". ... ...
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