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research
cpdt
Commits
697fed0c
Commit
697fed0c
authored
Aug 29, 2008
by
Adam Chlipala
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Start of Intro
parent
0f1efe21
Changes
4
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4 changed files
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202 additions
and
89 deletions
+202
-89
.hgignore
.hgignore
+2
-0
Makefile
book/Makefile
+12
-3
Intro.v
book/src/Intro.v
+109
-0
StackMachine.v
book/src/StackMachine.v
+79
-86
No files found.
.hgignore
View file @
697fed0c
...
...
@@ -11,3 +11,5 @@ syntax: glob
*/cpdt.*
*/*.log
book/html/coqdoc.css
book/html/*.html
book/Makefile
View file @
697fed0c
MODULES_NODOC
:=
Tactics
MODULES_DOC
:=
StackMachine
MODULES_DOC
:=
Intro
StackMachine
MODULES
:=
$(MODULES_NODOC)
$(MODULES_DOC)
VS
:=
$
(
MODULES:%
=
src/%.v
)
VS_DOC
:=
$
(
MODULES_DOC:%
=
%.v
)
GLOBALS
:=
.coq_globals
.PHONY
:
coq clean doc
.PHONY
:
coq clean doc
dvi html
coq
:
Makefile.coq
make
-f
Makefile.coq
...
...
@@ -21,11 +21,20 @@ clean:: Makefile.coq
rm
-f
Makefile.coq .depend
$(GLOBALS)
\
latex/
*
.sty latex/cpdt.
*
doc
:
latex/cpdt.dvi
doc
:
latex/cpdt.dvi
html
latex/cpdt.tex
:
$(VS)
cd
src
;
coqdoc
--latex
$(VS_DOC)
\
-p
"
\u
sepackage{url}"
\
-o
../latex/cpdt.tex
latex/cpdt.dvi
:
latex/cpdt.tex
cd
latex
;
latex cpdt
html
:
$(VS)
cd
src
;
coqdoc
$(VS_DOC)
\
--glob-from
../
$(GLOBALS)
\
-d
../html
dvi
:
xdvi latex/cpdt
book/src/Intro.v
0 → 100644
View file @
697fed0c
This diff is collapsed.
Click to expand it.
book/src/StackMachine.v
View file @
697fed0c
...
...
@@ -16,24 +16,21 @@ Require Import Tactics.
(
**
*
Arithmetic
expressions
over
natural
numbers
*
)
(
*
begin
hide
*
)
Module
Nat
.
(
*
end
hide
*
)
(
**
**
Source
language
*
)
Inductive
binop
:
Set
:=
Plus
|
Times
.
Inductive
binop
:
Set
:=
Plus
|
Times
.
Inductive
exp
:
Set
:=
|
Const
:
nat
->
exp
|
Binop
:
binop
->
exp
->
exp
->
exp
.
Inductive
exp
:
Set
:=
|
Const
:
nat
->
exp
|
Binop
:
binop
->
exp
->
exp
->
exp
.
Definition
binopDenote
(
b
:
binop
)
:
nat
->
nat
->
nat
:=
Definition
binopDenote
(
b
:
binop
)
:
nat
->
nat
->
nat
:=
match
b
with
|
Plus
=>
plus
|
Times
=>
mult
end
.
Fixpoint
expDenote
(
e
:
exp
)
:
nat
:=
Fixpoint
expDenote
(
e
:
exp
)
:
nat
:=
match
e
with
|
Const
n
=>
n
|
Binop
b
e1
e2
=>
(
binopDenote
b
)
(
expDenote
e1
)
(
expDenote
e2
)
...
...
@@ -42,14 +39,14 @@ Module Nat.
(
**
**
Target
language
*
)
Inductive
instr
:
Set
:=
|
IConst
:
nat
->
instr
|
IBinop
:
binop
->
instr
.
Inductive
instr
:
Set
:=
|
IConst
:
nat
->
instr
|
IBinop
:
binop
->
instr
.
Definition
prog
:=
list
instr
.
Definition
stack
:=
list
nat
.
Definition
prog
:=
list
instr
.
Definition
stack
:=
list
nat
.
Definition
instrDenote
(
i
:
instr
)
(
s
:
stack
)
:
option
stack
:=
Definition
instrDenote
(
i
:
instr
)
(
s
:
stack
)
:
option
stack
:=
match
i
with
|
IConst
n
=>
Some
(
n
::
s
)
|
IBinop
b
=>
...
...
@@ -59,7 +56,7 @@ Module Nat.
end
end
.
Fixpoint
progDenote
(
p
:
prog
)
(
s
:
stack
)
{
struct
p
}
:
option
stack
:=
Fixpoint
progDenote
(
p
:
prog
)
(
s
:
stack
)
{
struct
p
}
:
option
stack
:=
match
p
with
|
nil
=>
Some
s
|
i
::
p
'
=>
...
...
@@ -72,7 +69,7 @@ Module Nat.
(
**
**
Translation
*
)
Fixpoint
compile
(
e
:
exp
)
:
prog
:=
Fixpoint
compile
(
e
:
exp
)
:
prog
:=
match
e
with
|
Const
n
=>
IConst
n
::
nil
|
Binop
b
e1
e2
=>
compile
e2
++
compile
e1
++
IBinop
b
::
nil
...
...
@@ -81,7 +78,7 @@ Module Nat.
(
**
**
Translation
correctness
*
)
Lemma
compileCorrect
'
:
forall
e
s
p
,
progDenote
(
compile
e
++
p
)
s
=
Lemma
compileCorrect
'
:
forall
e
s
p
,
progDenote
(
compile
e
++
p
)
s
=
progDenote
p
(
expDenote
e
::
s
)
.
induction
e
.
...
...
@@ -102,20 +99,16 @@ Module Nat.
rewrite
IHe1
.
simpl
.
reflexivity
.
Abort
.
Abort
.
Lemma
compileCorrect
'
:
forall
e
s
p
,
progDenote
(
compile
e
++
p
)
s
=
Lemma
compileCorrect
'
:
forall
e
s
p
,
progDenote
(
compile
e
++
p
)
s
=
progDenote
p
(
expDenote
e
::
s
)
.
induction
e
;
crush
.
Qed
.
Qed
.
Theorem
compileCorrect
:
forall
e
,
progDenote
(
compile
e
)
nil
=
Some
(
expDenote
e
::
nil
)
.
Theorem
compileCorrect
:
forall
e
,
progDenote
(
compile
e
)
nil
=
Some
(
expDenote
e
::
nil
)
.
intro
.
rewrite
(
app_nil_end
(
compile
e
))
.
rewrite
compileCorrect
'
.
reflexivity
.
Qed
.
(
*
begin
hide
*
)
End
Nat
.
(
*
end
hide
*
)
Qed
.
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