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Gaëtan Gilbert
Iris
Commits
ed34db95
Commit
ed34db95
authored
5 years ago
by
Robbert Krebbers
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Add some documentation.
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f661622b
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theories/si_logic/bi.v
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theories/si_logic/bi.v
theories/si_logic/siprop.v
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theories/si_logic/siprop.v
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theories/si_logic/bi.v
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ed34db95
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@@ -5,6 +5,9 @@ Import siProp_primitive.
(** BI instances for [siProp], and re-stating the remaining primitive laws in
terms of the BI interface. This file does *not* unseal. *)
(** We pick [*] and [-*] to coincide with [∧] and [→], respectively. This seems
to be the most reasonable choice to fit a "pure" higher-order logic into the
proofmode's BI framework. *)
Definition
siProp_emp
:
siProp
:=
siProp_pure
True
.
Definition
siProp_sep
:
siProp
→
siProp
→
siProp
:=
siProp_and
.
Definition
siProp_wand
:
siProp
→
siProp
→
siProp
:=
siProp_impl
.
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theories/si_logic/siprop.v
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ed34db95
From
iris
.
algebra
Require
Export
ofe
.
From
iris
.
bi
Require
Import
notation
.
(** The type [siProp] defines "plain" step-indexed propositions, on which we
define the usual connectives of higher-order logic, and prove that these satisfy
the usual laws of higher-order logic. *)
Record
siProp
:=
SiProp
{
siProp_holds
:>
nat
→
Prop
;
siProp_closed
n1
n2
:
siProp_holds
n1
→
n2
≤
n1
→
siProp_holds
n2
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