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Rice Wine
Iris
Commits
f30188af
Commit
f30188af
authored
Feb 12, 2018
by
Ralf Jung
Browse files
document the RA model briefly
parent
7e816a90
Changes
1
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theories/bi/interface.v
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f30188af
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@@ -42,6 +42,16 @@ Section bi_mixin.
Local
Notation
"x ≡ y"
:
=
(
sbi_internal_eq
_
x
y
).
Local
Notation
"▷ P"
:
=
(
sbi_later
P
).
(** * Axioms for a general BI (logic of bunched implications) *)
(** The following axioms are satisifed by both affine and linear BIs, and BIs
that combine both kinds of resources. In particular, we have an "ordered RA"
model satisfying all these axioms. For this model, we extend RAs with an
arbitrary partial order, and up-close resources wrt. that order (instead of
extension order). We demand composition to be monotone wrt. the order. We
define [emp := λ r, ε ≼ r]; persisently is still defined with the core: [□ P
:= λ r, P (core r)]. *)
Record
BiMixin
:
=
{
bi_mixin_entails_po
:
PreOrder
bi_entails
;
bi_mixin_equiv_spec
P
Q
:
equiv
P
Q
↔
(
P
⊢
Q
)
∧
(
Q
⊢
P
)
;
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