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concordium
smartcontractinteractions
Commits
c3f21e1b
Commit
c3f21e1b
authored
Apr 25, 2019
by
Jakob Botsch Nielsen
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Prove that ChainStep and ChainTrace respect EnvironmentEquiv
parent
fa633115
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2 changed files
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118 additions
and
31 deletions
+118
31
src/Blockchain.v
src/Blockchain.v
+115
27
src/LocalBlockchain.v
src/LocalBlockchain.v
+3
4
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src/Blockchain.v
View file @
c3f21e1b
...
...
@@ 114,22 +114,6 @@ Next Obligation.
intros
x
y
z
[]
[];
apply
build_chain_equiv
;
congruence
.
Qed
.
Global
Instance
chain_equiv_header_proper
:
Proper
(
ChainEquiv
==>
eq
)
block_header
.
Proof
.
intros
x
y
.
apply
header_eq
.
Qed
.
Global
Instance
chain_equiv_incoming_txs_proper
:
Proper
(
ChainEquiv
==>
eq
==>
eq
)
incoming_txs
.
Proof
.
intros
x
y
eq
a
b
eq
'
;
subst
;
apply
incoming_txs_eq
;
assumption
.
Qed
.
Global
Instance
chain_equiv_outgoing_txs_proper
:
Proper
(
ChainEquiv
==>
eq
==>
eq
)
outgoing_txs
.
Proof
.
intros
x
y
eq
a
b
eq
'
;
subst
;
apply
outgoing_txs_eq
;
assumption
.
Qed
.
Global
Instance
chain_equiv_blocks_backes_proper
:
Proper
(
ChainEquiv
==>
eq
==>
eq
)
blocks_baked
.
Proof
.
intros
x
y
eq
a
b
eq
'
;
subst
;
apply
blocks_baked_eq
;
assumption
.
Qed
.
Global
Instance
chain_equiv_contract_state_proper
:
Proper
(
ChainEquiv
==>
eq
==>
eq
)
contract_state
.
Proof
.
intros
x
y
eq
a
b
eq
'
;
subst
;
apply
contract_state_eq
;
assumption
.
Qed
.
Section
Accessors
.
Local
Open
Scope
Z
.
...
...
@@ 147,6 +131,35 @@ Definition contract_deployment (chain : Chain) (addr : Address)
find_first
to_dep
(
incoming_txs
chain
addr
).
End
Accessors
.
Section
Theories
.
Ltac
rewrite_chain_equiv
:=
match
goal
with

[
H
:
ChainEquiv
_
_

_
]
=>
rewrite
H
end
.
Global
Instance
chain_equiv_header_proper
:
Proper
(
ChainEquiv
==>
eq
)
block_header
.
Proof
.
repeat
intro
;
auto
using
header_eq
.
Qed
.
Global
Instance
chain_equiv_incoming_txs_proper
:
Proper
(
ChainEquiv
==>
eq
==>
eq
)
incoming_txs
.
Proof
.
repeat
intro
;
subst
;
auto
using
incoming_txs_eq
.
Qed
.
Global
Instance
chain_equiv_outgoing_txs_proper
:
Proper
(
ChainEquiv
==>
eq
==>
eq
)
outgoing_txs
.
Proof
.
repeat
intro
;
subst
;
auto
using
outgoing_txs_eq
.
Qed
.
Global
Instance
chain_equiv_blocks_backes_proper
:
Proper
(
ChainEquiv
==>
eq
==>
eq
)
blocks_baked
.
Proof
.
repeat
intro
;
subst
;
auto
using
blocks_baked_eq
.
Qed
.
Global
Instance
chain_equiv_contract_state_proper
:
Proper
(
ChainEquiv
==>
eq
==>
eq
)
contract_state
.
Proof
.
repeat
intro
;
subst
;
auto
using
contract_state_eq
.
Qed
.
Global
Instance
chain_equiv_account_balance_proper
:
Proper
(
ChainEquiv
==>
eq
==>
eq
)
account_balance
.
Proof
.
repeat
intro
;
subst
;
unfold
account_balance
;
now
rewrite_chain_equiv
.
Qed
.
Global
Instance
chain_equiv_contract_deployment
:
Proper
(
ChainEquiv
==>
eq
==>
eq
)
contract_deployment
.
Proof
.
repeat
intro
;
subst
;
unfold
contract_deployment
;
now
rewrite_chain_equiv
.
Qed
.
End
Theories
.
Record
ContractCallContext
:=
build_ctx
{
(
*
Address
sending
the
funds
*
)
...
...
@@ 203,20 +216,30 @@ Definition wc_version (wc : WeakContract) : Version :=
Definition
wc_init
(
wc
:
WeakContract
)
:=
let
(
_
,
i
,
_
,
_
,
_
)
:=
wc
in
i
.
Definition
wc_init_proper
(
wc
:
WeakContract
)
:=
match
wc
return
Proper
(
ChainEquiv
==>
eq
==>
eq
==>
eq
)
(
wc_init
wc
)
with

build_weak_contract
_
_
ip
_
_
=>
ip
end
.
Global
Instance
wc_init_proper
:
Proper
(
eq
==>
ChainEquiv
==>
eq
==>
eq
==>
eq
)
wc_init
.
Proof
.
intros
wc
wc
'
eq
;
subst
wc
'
.
exact
(
match
wc
return
Proper
(
ChainEquiv
==>
eq
==>
eq
==>
eq
)
(
wc_init
wc
)
with

build_weak_contract
_
_
ip
_
_
=>
ip
end
).
Qed
.
Definition
wc_receive
(
wc
:
WeakContract
)
:=
let
(
_
,
_
,
_
,
r
,
_
)
:=
wc
in
r
.
Definition
wc_receive_proper
(
wc
:
WeakContract
)
:=
match
wc
return
Proper
(
ChainEquiv
==>
eq
==>
eq
==>
eq
==>
eq
)
(
wc_receive
wc
)
with

build_weak_contract
_
_
_
_
rp
=>
rp
end
.
Global
Instance
wc_receive_proper
:
Proper
(
eq
==>
ChainEquiv
==>
eq
==>
eq
==>
eq
==>
eq
)
wc_receive
.
Proof
.
intros
wc
wc
'
eq
;
subst
wc
'
.
exact
(
match
wc
return
Proper
(
ChainEquiv
==>
eq
==>
eq
==>
eq
==>
eq
)
(
wc_receive
wc
)
with

build_weak_contract
_
_
_
_
rp
=>
rp
end
).
Qed
.
Record
Action
:=
build_act
{
...
...
@@ 437,6 +460,42 @@ Definition set_contract_state (addr : Address) (state : OakValue) :=
update_chain
(
fun
c
=>
c
<
contract_state
::=
set_chain_contract_state
addr
state
>
).
Section
Theories
.
Ltac
solve_proper
:=
apply
build_env_equiv
;
[
apply
build_chain_equiv

];
cbn
;
repeat
intro
;
repeat
match
goal
with

[
H
:
EnvironmentEquiv
_
_

_
]
=>
rewrite
H
end
;
auto
.
Global
Instance
add_tx_proper
:
Proper
(
eq
==>
EnvironmentEquiv
==>
EnvironmentEquiv
)
add_tx
.
Proof
.
repeat
intro
;
subst
.
unfold
add_tx
,
add_tx_to_map
.
solve_proper
.
Qed
.
Global
Instance
add_contract_proper
:
Proper
(
eq
==>
eq
==>
EnvironmentEquiv
==>
EnvironmentEquiv
)
add_contract
.
Proof
.
repeat
intro
;
subst
.
unfold
add_contract
.
solve_proper
.
Qed
.
Global
Instance
set_contract_state_proper
:
Proper
(
eq
==>
eq
==>
EnvironmentEquiv
==>
EnvironmentEquiv
)
set_contract_state
.
Proof
.
repeat
intro
;
subst
.
unfold
set_contract_state
,
update_chain
,
set_chain_contract_state
.
solve_proper
.
Qed
.
Section
Step
.
Local
Open
Scope
Z
.
(
*
Next
we
define
a
single
step
.
It
specifies
how
an
external
action
...
...
@@ 632,7 +691,8 @@ Definition initial_env :=
contract_state
a
:=
None
;
}
;
env_contracts
a
:=
None
;
}
.
(
*
The
chain
captures
that
an
environment
can
be
reached
with
some
current
actions
.
*
)
(
*
The
chain
captures
that
an
environment
can
be
reached
with
some
current
actions
queued
.
*
)
Inductive
ChainTrace
:
Environment
>
list
Action
>
Prop
:=

ctrace_initial
:
forall
(
env
:
Environment
),
...
...
@@ 670,6 +730,34 @@ Inductive ChainTrace : Environment > list Action > Prop :=
ChainTrace
env
acts
>
Permutation
acts
acts
'
>
ChainTrace
env
acts
'
.
Lemma
chain_step_respects_equiv
e1
e2
act
tx
e1
'
e2
'
new_acts
:
EnvironmentEquiv
e1
e2
>
EnvironmentEquiv
e1
'
e2
'
>
ChainStep
e1
act
tx
e1
'
new_acts
>
ChainStep
e2
act
tx
e2
'
new_acts
.
Proof
.
Hint
Constructors
ChainStep
:
core
.
intros
eq
eq
'
step
.
destruct
step
;
rewrite
eq
,
eq
'
in
*
;
eauto
.
Qed
.
Lemma
chain_trace_respects_equiv
e1
e2
l
:
EnvironmentEquiv
e1
e2
>
ChainTrace
e1
l
>
ChainTrace
e2
l
.
Proof
.
intros
eq
trace
.
Hint
Resolve
ctrace_initial
ctrace_block
ctrace_step
:
core
.
Hint
Resolve
chain_step_respects_equiv
.
Hint
Extern
1
(
ChainTrace
?
env
_
)
=>
match
goal
with

[
H
:
Permutation
?
a
?
b

_
]
=>
apply
(
ctrace_permute
env
a
b
)
end
.
Hint
Extern
1
(
EnvironmentEquiv
_
_
)
=>
reflexivity
.
induction
trace
;
eauto
;
rewrite
eq
in
*
;
eauto
.
Qed
.
End
Theories
.
End
Semantics
.
Class
ChainBuilderType
:=
...
...
src/LocalBlockchain.v
View file @
c3f21e1b
...
...
@@ 484,10 +484,9 @@ Proof.
Hint
Resolve
validate_header_valid
validate_actions_valid
execute_steps_trace
add_new_block_header_equiv
ctrace_block
:
core
.
(
*
It
is
strange
that
this
is
necessary
..
*
)
Hint
Extern
1
(
EnvironmentEquiv
_
_
)
=>
reflexivity
.
ctrace_block
:
core
.
(
*
auto
does
not
pick
up
reflexivity
for
reflexive
relations
.
*
)
Hint
Extern
1
(
EnvironmentEquiv
_
_
)
=>
reflexivity
:
core
.
eauto
6.
Defined
.
...
...
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