statement stringlengths 4 1.37k | proof stringclasses 1
value | type stringclasses 6
values | symbolic_name stringlengths 1 27 | library stringclasses 4
values | filename stringclasses 35
values | imports listlengths 0 0 | deps listlengths 0 25 | docstring stringclasses 1
value | source_url stringclasses 1
value | commit stringclasses 1
value |
|---|---|---|---|---|---|---|---|---|---|---|
vm : VM_State → VM_State
----
st • vm st
= if stock st = 0
then MkVM_State
(takings st) (stock st) (price st) 0
else if cash_tendered st < price st
then st
else if cash_tendered st = price st
then MkVM_State
(takings st + cash_tendered st)
(stock st - 1) (price st) 0
else MkVM_State
(takings st) (sto... | HOLCONST | vm | hol | src/hol/usr013H.doc | [] | [
"VM_State"
] | https://github.com/RobArthan/pp | dabebf8fdbdede1a3ad6333500c6663ecd15c98f | ||
value : VM_State → î
----
st • value st = takings st + stock st * price st | HOLCONST | value | hol | src/hol/usr013H.doc | [] | [
"VM_State"
] | https://github.com/RobArthan/pp | dabebf8fdbdede1a3ad6333500c6663ecd15c98f | ||
vm_ok : (VM_State → VM_State) SET
----
vm_ok
= { trf
| cb s p ct •
let s1 = MkVM_State cb s p ct
in let s2 = trf s1
in value s2 ¾ value s1} | HOLCONST | vm_ok | hol | src/hol/usr013H.doc | [] | [
"VM_State",
"value"
] | https://github.com/RobArthan/pp | dabebf8fdbdede1a3ad6333500c6663ecd15c98f | ||
symg : ('a ℙ × ('a ª 'a)) ℙ
----
(V,E) • (V,E) symg
¤ E (VªV) ∧ x y • (x,y) E ¤ (y,x) E | HOLCONST | symg | hol | src/hol/wrk043.doc | [] | [] | https://github.com/RobArthan/pp | dabebf8fdbdede1a3ad6333500c6663ecd15c98f | ||
$clique_of : 'a ℙ → ('a ℙ × ('a ª 'a)) → BOOL
----
C (V,E) • C clique_of (V,E)
¤ C V ∧ (C × C)\(Id C) E | HOLCONST | clique_of | hol | src/hol/wrk043.doc | [] | [
"Id"
] | https://github.com/RobArthan/pp | dabebf8fdbdede1a3ad6333500c6663ecd15c98f | ||
$indep_of : 'a ℙ → ('a ℙ × ('a ª 'a)) → BOOL
----
C (V,E) • C indep_of (V,E)
¤ C V ∧ (C × C) ¬ E Id C | HOLCONST | indep_of | hol | src/hol/wrk043.doc | [] | [
"Id"
] | https://github.com/RobArthan/pp | dabebf8fdbdede1a3ad6333500c6663ecd15c98f | ||
[NAME, DATE] | Z | NAME | pptex | src/pptex/usr001.doc | [] | [] | https://github.com/RobArthan/pp | dabebf8fdbdede1a3ad6333500c6663ecd15c98f | ||
limit:î
----
limit ¼ 65535 | ZAX | limit | pptex | src/pptex/usr001.doc | [] | [] | https://github.com/RobArthan/pp | dabebf8fdbdede1a3ad6333500c6663ecd15c98f | ||
limit:î
----
limit ¼ 65535 | ZAX | limit | pptex | src/pptex/usr001.doc | [] | [] | https://github.com/RobArthan/pp | dabebf8fdbdede1a3ad6333500c6663ecd15c98f | ||
RAddBirthday | (AddBirthday ∧ Success) ² AlreadyKnown | Z | RAddBirthday | pptex | src/pptex/usr001.doc | [] | [] | https://github.com/RobArthan/pp | dabebf8fdbdede1a3ad6333500c6663ecd15c98f | ||
DATABASE == ADDR → PAGE | IZAX | DATABASE | pptex | src/pptex/usr001.doc | [] | [] | https://github.com/RobArthan/pp | dabebf8fdbdede1a3ad6333500c6663ecd15c98f | ||
TREE ::= tip | fork §§î × TREE × TREE¢¢ | Z | TREE | pptex | src/pptex/usr001.doc | [] | [] | https://github.com/RobArthan/pp | dabebf8fdbdede1a3ad6333500c6663ecd15c98f | ||
LAB_PROD_EXAMPLE
l1 : type1;
l2 : type2;
l3 : type3;
l4 : type4 | HOLLABPROD | LAB_PROD_EXAMPLE | pptex | src/pptex/usr001.doc | [] | [] | https://github.com/RobArthan/pp | dabebf8fdbdede1a3ad6333500c6663ecd15c98f | ||
LAB_PROD_EXAMPLE
l1 : type1;
l2 : type2;
l3 : type3;
l4 : type4 | HOLLABPROD | LAB_PROD_EXAMPLE | pptex | src/pptex/usr001.doc | [] | [] | https://github.com/RobArthan/pp | dabebf8fdbdede1a3ad6333500c6663ecd15c98f | ||
$"Z'Mk_S[]" : $"Z'S[]"
----
$"Z'Mk_S[]" = $"Z'Abs_S[]" One | HOLCONST | $"Z'Mk_S[]" | zed | src/zed/dtd052.doc | [] | [] | https://github.com/RobArthan/pp | dabebf8fdbdede1a3ad6333500c6663ecd15c98f | ||
Totality :'a SET
----
Totality = Universe | HOLCONST | Totality | zed | src/zed/dtd052.doc | [] | [] | https://github.com/RobArthan/pp | dabebf8fdbdede1a3ad6333500c6663ecd15c98f | ||
$"z'" : ('a)$"Z'T[1]" → 'a
----
$"z'" = $"Z'T[1]1" | HOLCONST | $"z'" | zed | src/zed/dtd052.doc | [] | [] | https://github.com/RobArthan/pp | dabebf8fdbdede1a3ad6333500c6663ecd15c98f | ||
Z'SchemaDec : 'a → 'a SET → BOOL
----
Z'SchemaDec = $ | HOLCONST | Z'SchemaDec | zed | src/zed/dtd052.doc | [] | [] | https://github.com/RobArthan/pp | dabebf8fdbdede1a3ad6333500c6663ecd15c98f | ||
Z'Dec : ('a LIST × 'a SET) → BOOL
----
vs •
Z'Dec ([], vs)
∧
( v vl • Z'Dec ((Cons v vl), vs)
¤ v vs ∧ Z'Dec (vl, vs)) | HOLCONST | Z'Dec | zed | src/zed/dtd052.doc | [] | [] | https://github.com/RobArthan/pp | dabebf8fdbdede1a3ad6333500c6663ecd15c98f | ||
Z'Decl : BOOL LIST → BOOL
----
Z'Decl Nil
∧
b bl •
Z'Decl (Cons b bl) = (b ∧ (Z'Decl bl)) | HOLCONST | Z'Decl | zed | src/zed/dtd052.doc | [] | [] | https://github.com/RobArthan/pp | dabebf8fdbdede1a3ad6333500c6663ecd15c98f | ||
$"Z'" : BOOL → BOOL
----
p •
$"Z'" p = p | HOLCONST | $"Z'µ" | zed | src/zed/dtd052.doc | [] | [] | https://github.com/RobArthan/pp | dabebf8fdbdede1a3ad6333500c6663ecd15c98f | ||
$"Z'Body" : BOOL → BOOL → BOOL → BOOL
----
d p v •
$"Z'Body" d p v ¤ (d ∧ p) ⇒ v | HOLCONST | $"Z'µBody" | zed | src/zed/dtd052.doc | [] | [] | https://github.com/RobArthan/pp | dabebf8fdbdede1a3ad6333500c6663ecd15c98f | ||
$"Z' " : BOOL → BOOL
----
p •
$"Z' " p = p | HOLCONST | $"Z'¶" | zed | src/zed/dtd052.doc | [] | [] | https://github.com/RobArthan/pp | dabebf8fdbdede1a3ad6333500c6663ecd15c98f | ||
$"Z' Body" : BOOL → BOOL → BOOL → BOOL
----
d p v •
$"Z' Body" d p v ¤ d ∧ p ∧ v | HOLCONST | $"Z'¶Body" | zed | src/zed/dtd052.doc | [] | [] | https://github.com/RobArthan/pp | dabebf8fdbdede1a3ad6333500c6663ecd15c98f | ||
$"Z'Int" : î → ú
----
Z'Int = îú | HOLCONST | $"Z'Int" | zed | src/zed/dtd052.doc | [] | [] | https://github.com/RobArthan/pp | dabebf8fdbdede1a3ad6333500c6663ecd15c98f | ||
$"Z' ℙ " :'a SET → ('a SET) SET
----
$"Z' ℙ " = ℙ | HOLCONST | $"Z'ð" | zed | src/zed/dtd052.doc | [] | [] | https://github.com/RobArthan/pp | dabebf8fdbdede1a3ad6333500c6663ecd15c98f | ||
Z'Setd :'a LIST → 'a SET
----
Z'Setd Nil = {}
∧
h t • Z'Setd (Cons h t) = (Z'Setd t) À {h} | HOLCONST | Z'Setd | zed | src/zed/dtd052.doc | [] | [] | https://github.com/RobArthan/pp | dabebf8fdbdede1a3ad6333500c6663ecd15c98f | ||
Z'NumList : ('a LIST × î) → (((ú, 'a)$"Z'T[2]") SET)
----
n : î •
Z'NumList ([], n) = {}
∧
( a list • Z'NumList ((Cons a list), n) =
(Z'NumList (list, n + 1)) À
{$"Z'Mk_T[2]" (Z'Int (n + 1)) a}) | HOLCONST | Z'NumList | zed | src/zed/dtd052.doc | [] | [] | https://github.com/RobArthan/pp | dabebf8fdbdede1a3ad6333500c6663ecd15c98f | ||
$"Z'§¢" : 'a LIST → ((ú, 'a)$"Z'T[2]") SET
----
l •
$"Z'§¢" l = Z'NumList (l, 0) | HOLCONST | $"Z'§¢" | zed | src/zed/dtd052.doc | [] | [
"Z'NumList"
] | https://github.com/RobArthan/pp | dabebf8fdbdede1a3ad6333500c6663ecd15c98f | ||
$"Z'Í" : 'a SET → 'a
----
x : 'a • $"Z'Í" {x} = x | HOLCONST | $"Z'Í" | zed | src/zed/dtd052.doc | [] | [] | https://github.com/RobArthan/pp | dabebf8fdbdede1a3ad6333500c6663ecd15c98f | ||
Z'App : (('a,'b)$"Z'T[2]") SET → 'a → 'b
----
f (x : 'a) •
Z'App f x =
$"Z'Í" {y : 'b | ($"Z'Mk_T[2]" x y) f} | HOLCONST | Z'App | zed | src/zed/dtd052.doc | [] | [] | https://github.com/RobArthan/pp | dabebf8fdbdede1a3ad6333500c6663ecd15c98f | ||
$"Z'Ê" : 'a → 'b → 'a
----
x y •
$"Z'Ê" x y = x | HOLCONST | $"Z'Ê" | zed | src/zed/dtd052.doc | [] | [] | https://github.com/RobArthan/pp | dabebf8fdbdede1a3ad6333500c6663ecd15c98f | ||
Z'SchemaPred : 'a → 'a SET → BOOL
----
Z'SchemaPred = $ | HOLCONST | Z'SchemaPred | zed | src/zed/dtd052.doc | [] | [] | https://github.com/RobArthan/pp | dabebf8fdbdede1a3ad6333500c6663ecd15c98f | ||
$"Z'³s" : 'a SET → 'a SET
----
x s •
x $"Z'³s" s ¤ ³(x s) | HOLCONST | $"Z'³s" | zed | src/zed/dtd052.doc | [] | [] | https://github.com/RobArthan/pp | dabebf8fdbdede1a3ad6333500c6663ecd15c98f | ||
$"z'¿" : CHAR SET
----
$"z'¿" = $"z'" ($"Z'Mk_T[1]" Totality) | HOLCONST | $"z'¿" | zed | src/zed/dtd052.doc | [] | [
"Totality"
] | https://github.com/RobArthan/pp | dabebf8fdbdede1a3ad6333500c6663ecd15c98f | ||
$"Z'String" : CHAR LIST → ((ú, CHAR)$"Z'T[2]") SET
----
$"Z'String" = $"Z'§¢" | HOLCONST | $"Z'String" | zed | src/zed/dtd052.doc | [] | [] | https://github.com/RobArthan/pp | dabebf8fdbdede1a3ad6333500c6663ecd15c98f | ||
$"Z'Let" : 'a → 'a
----
x • $"Z'Let" x = x | HOLCONST | $"Z'Let" | zed | src/zed/dtd052.doc | [] | [] | https://github.com/RobArthan/pp | dabebf8fdbdede1a3ad6333500c6663ecd15c98f | ||
Z'AbbDef : BOOL → BOOL
----
p •
Z'AbbDef p = p | HOLCONST | Z'AbbDef | zed | src/zed/dtd052.doc | [] | [] | https://github.com/RobArthan/pp | dabebf8fdbdede1a3ad6333500c6663ecd15c98f | ||
Z'SchBox : BOOL → BOOL
----
p •
Z'SchBox p = p | HOLCONST | Z'SchBox | zed | src/zed/dtd052.doc | [] | [] | https://github.com/RobArthan/pp | dabebf8fdbdede1a3ad6333500c6663ecd15c98f | ||
Z'AxDes : BOOL → BOOL
----
p •
Z'AxDes p = p | HOLCONST | Z'AxDes | zed | src/zed/dtd052.doc | [] | [] | https://github.com/RobArthan/pp | dabebf8fdbdede1a3ad6333500c6663ecd15c98f | ||
Z'GivenSet : BOOL → BOOL
----
p •
Z'GivenSet p = p | HOLCONST | Z'GivenSet | zed | src/zed/dtd052.doc | [] | [] | https://github.com/RobArthan/pp | dabebf8fdbdede1a3ad6333500c6663ecd15c98f | ||
Z'FreeTypeDef : BOOL → BOOL
----
p •
Z'FreeTypeDef p = p | HOLCONST | Z'FreeTypeDef | zed | src/zed/dtd052.doc | [] | [] | https://github.com/RobArthan/pp | dabebf8fdbdede1a3ad6333500c6663ecd15c98f | ||
Z'Constraint : BOOL → BOOL
----
p •
Z'Constraint p = p | HOLCONST | Z'Constraint | zed | src/zed/dtd052.doc | [] | [] | https://github.com/RobArthan/pp | dabebf8fdbdede1a3ad6333500c6663ecd15c98f | ||
$"z'" : BOOL SET
----
$"z'" = $"z'" ($"Z'Mk_T[1]" Totality) | HOLCONST | $"z'" | zed | src/zed/dtd052.doc | [] | [
"Totality"
] | https://github.com/RobArthan/pp | dabebf8fdbdede1a3ad6333500c6663ecd15c98f | ||
$"z'_ _" : 'X SET $"Z'T[1]" → ('X SET, 'X SET) $"Z'T[2]" SET
----
X : 'X SET •
$"z'_ _" ($"Z'Mk_T[1]" X) =
{st : ('X SET, 'X SET) $"Z'T[2]" |
$"Z'T[2]1" st ℙ X ∧ $"Z'T[2]2" st ℙ X ∧
( x :'X • x X ⇒ x $"Z'T[2]1" st ⇒ x $"Z'T[2]2" st)} | HOLCONST | $"z'_ _" | zed | src/zed/dtd052.doc | [] | [] | https://github.com/RobArthan/pp | dabebf8fdbdede1a3ad6333500c6663ecd15c98f | ||
id X | {x : X • x í x} | Z | id | zed | src/zed/dtd083.doc | [] | [] | https://github.com/RobArthan/pp | dabebf8fdbdede1a3ad6333500c6663ecd15c98f | ||
succ : î → î
----
n : î • succ (n) = n + 1 | ZAX | succ | zed | src/zed/dtd086.doc | [] | [] | https://github.com/RobArthan/pp | dabebf8fdbdede1a3ad6333500c6663ecd15c98f | ||
min : ℙ 1 ú ß ú
----
min = {S : ℙ 1 ú; m : ú | m S ∧ ( n : S • m ¼ n) • S í m} | ZAX | min | zed | src/zed/dtd086.doc | [] | [] | https://github.com/RobArthan/pp | dabebf8fdbdede1a3ad6333500c6663ecd15c98f | ||
max : ℙ 1 ú ß ú
----
max = {S : ℙ 1 ú; m : ú | m S ∧ ( n : S • m ¾ n) • S í m} | ZAX | max | zed | src/zed/dtd086.doc | [] | [] | https://github.com/RobArthan/pp | dabebf8fdbdede1a3ad6333500c6663ecd15c98f | ||
seq X | {f:î X | dom f = 1 .. # f} | Z | seq | zed | src/zed/dtd087.doc | [] | [] | https://github.com/RobArthan/pp | dabebf8fdbdede1a3ad6333500c6663ecd15c98f | ||
seq1 X | {f:seq X | # f > 0} | Z | seq1 | zed | src/zed/dtd087.doc | [] | [
"seq"
] | https://github.com/RobArthan/pp | dabebf8fdbdede1a3ad6333500c6663ecd15c98f | ||
iseq X | (seq X) ¬ (î þ X) | Z | iseq | zed | src/zed/dtd087.doc | [] | [
"seq"
] | https://github.com/RobArthan/pp | dabebf8fdbdede1a3ad6333500c6663ecd15c98f | ||
bag X | X ß î1 | Z | bag | zed | src/zed/dtd088.doc | [] | [] | https://github.com/RobArthan/pp | dabebf8fdbdede1a3ad6333500c6663ecd15c98f | ||
_ <R _ : ¯ ª ¯ ;
_ ¼R _ : ¯ ª ¯ ;
~R _ : ¯ → ¯ ;
_ +R _ : ¯ × ¯ → ¯ ;
_ *R _ : ¯ × ¯ → ¯ ;
_ /R _ : ¯ × ¯ → ¯ ;
absR _ : ¯ → ¯
----
x, y: ¯ • x <R y ¤ ¬x <R y® ;
x, y: ¯ • x ¼R y ¤ ¬x ¼R y® ;
x: ¯ • ~R x = ¬~R x® ;
x, y: ¯ • x +R y = ¬x +R y® ;
x, y: ¯ • x *R y = ¬x *... | ZAX | _ <R _ | zed | src/zed/dtd117.doc | [] | [] | https://github.com/RobArthan/pp | dabebf8fdbdede1a3ad6333500c6663ecd15c98f | ||
_ >R _ : ¯ ª ¯ ;
_ ¾R _ : ¯ ª ¯ ;
_ -R _ : ¯ × ¯ → ¯
----
x, y: ¯ • x >R y ¤ y <R x ;
x, y: ¯ • x ¾R y ¤ y ¼R x ;
x, y: ¯ • x -R y = x +R ~R y | ZAX | _ >R _ | zed | src/zed/dtd117.doc | [] | [] | https://github.com/RobArthan/pp | dabebf8fdbdede1a3ad6333500c6663ecd15c98f | ||
real: ú → ¯
----
real 1 = ¬î¯ 1®
∧ (i: ú • real (~i) = ~R (real i))
∧ (i, j: ú • real (i + j) = real i +R real j) | ZAX | real | zed | src/zed/dtd117.doc | [] | [] | https://github.com/RobArthan/pp | dabebf8fdbdede1a3ad6333500c6663ecd15c98f | ||
_ /Z _: ú × ú → ¯
----
i, j : ú • i /Z j = real i /R real j | ZAX | _ /Z _ | zed | src/zed/dtd117.doc | [] | [
"real"
] | https://github.com/RobArthan/pp | dabebf8fdbdede1a3ad6333500c6663ecd15c98f | ||
_ ^Z _: ¯ × ú → ¯
----
¬x m • ñx ^Z ¬Z'Int m®® = x ^N m®
∧ ¬x m • ñx ^Z ~ ¬Z'Int (m+1)®® = î¯ 1 /R (x ^N (m+1))® | ZAX | _ ^Z _ | zed | src/zed/dtd117.doc | [] | [] | https://github.com/RobArthan/pp | dabebf8fdbdede1a3ad6333500c6663ecd15c98f | ||
_ ..R _: ¯ × ¯ → ℙ ¯
----
x, y : ¯ • x ..R y = { t : ¯ | x ¼R t ¼R y } | ZAX | _ ..R _ | zed | src/zed/dtd117.doc | [] | [] | https://github.com/RobArthan/pp | dabebf8fdbdede1a3ad6333500c6663ecd15c98f | ||
_ lbR _: ¯ ª ℙ ¯
----
r: ¯; sr: ℙ ¯ •
r lbR sr ¤ ( x:sr • r ¼R x) | ZAX | lbR | zed | src/zed/dtd117.doc | [] | [] | https://github.com/RobArthan/pp | dabebf8fdbdede1a3ad6333500c6663ecd15c98f | ||
glbR: ℙ ¯ ß ¯
----
sr: ℙ ¯; glb: ¯ •
(sr í glb) glbR ¤
glb lbR sr ∧ (lb: ¯ | lb lbR sr • lb ¼R glb) | ZAX | glbR | zed | src/zed/dtd117.doc | [] | [] | https://github.com/RobArthan/pp | dabebf8fdbdede1a3ad6333500c6663ecd15c98f | ||
_ ubR _: ¯ ª ℙ ¯
----
r: ¯; sr: ℙ ¯ •
r ubR sr ¤ ( x:sr • r ¾R x) | ZAX | ubR | zed | src/zed/dtd117.doc | [] | [] | https://github.com/RobArthan/pp | dabebf8fdbdede1a3ad6333500c6663ecd15c98f | ||
lubR: ℙ ¯ ß ¯
----
sr: ℙ ¯; lub: ¯ •
(sr í lub) lubR ¤
lub ubR sr ∧ (ub: ¯ | ub ubR sr • ub ¾R lub) | ZAX | lubR | zed | src/zed/dtd117.doc | [] | [] | https://github.com/RobArthan/pp | dabebf8fdbdede1a3ad6333500c6663ecd15c98f | ||
Z'Float : ú → ú → ú → ¯
----
m p e • Z'Float m p e = ñreal m *R (real 10 ^Z (e + ~p))® | HOLCONST | Z'Float | zed | src/zed/dtd117.doc | [] | [
"real"
] | https://github.com/RobArthan/pp | dabebf8fdbdede1a3ad6333500c6663ecd15c98f | ||
", "ZAX", "Lex.Term", z_axbox_reader),
("", "Z", "Lex.Term", z_other_reader)
] handle (Fail _) => [];
val _ = map add_specific_reader [
("", "Lex.Term", z_genbox_reader),
("ÿ", "Lex.Term", z_schbox_reader)
] handle Fail _ => [];
val _ = map add_general_reader [
("¬", "Z", "Lex.Term", z_term_reader),
("ñ", "", "... | schema | z_axbox_recogniser | zed | src/zed/imp049.doc | [] | [
"value"
] | https://github.com/RobArthan/pp | dabebf8fdbdede1a3ad6333500c6663ecd15c98f | ||
rel prerel _ | Z | prerel _ | zed | src/zed/usr011B.doc | [] | [] | https://github.com/RobArthan/pp | dabebf8fdbdede1a3ad6333500c6663ecd15c98f | ||
rel _ postrel | Z | _ postrel | zed | src/zed/usr011B.doc | [] | [] | https://github.com/RobArthan/pp | dabebf8fdbdede1a3ad6333500c6663ecd15c98f | ||
rel _ infixrel _ | Z | _ infixrel _ | zed | src/zed/usr011B.doc | [] | [] | https://github.com/RobArthan/pp | dabebf8fdbdede1a3ad6333500c6663ecd15c98f | ||
rel rellb ... relrb | Z | rellb ... relrb | zed | src/zed/usr011B.doc | [] | [] | https://github.com/RobArthan/pp | dabebf8fdbdede1a3ad6333500c6663ecd15c98f | ||
[DATA] | Z | DATA | zed | src/zed/usr023_slides.doc | [] | [] | https://github.com/RobArthan/pp | dabebf8fdbdede1a3ad6333500c6663ecd15c98f | ||
[IN,OUT] | Z | IN | zed | src/zed/usr023_slides.doc | [] | [] | https://github.com/RobArthan/pp | dabebf8fdbdede1a3ad6333500c6663ecd15c98f | ||
STATE2 | î ß DATA | Z | STATE2 | zed | src/zed/usr023_slides.doc | [] | [
"DATA"
] | https://github.com/RobArthan/pp | dabebf8fdbdede1a3ad6333500c6663ecd15c98f | ||
SYSTEM | (î × IN × STATE2)
→ (STATE2 × OUT) | Z | SYSTEM | zed | src/zed/usr023_slides.doc | [] | [
"IN",
"STATE2"
] | https://github.com/RobArthan/pp | dabebf8fdbdede1a3ad6333500c6663ecd15c98f | ||
out_secure : ℙ SYSTEM
----
sys:SYSTEM • sys out_secure ¤
( clear:î; inp:IN; s,s':STATE2
| (0 .. clear) ò s = (0 .. clear) ò s'
• second (sys (clear, inp, s))
= second (sys (clear, inp, s'))) | ZAX | out_secure | zed | src/zed/usr023_slides.doc | [] | [
"IN",
"STATE2",
"SYSTEM"
] | https://github.com/RobArthan/pp | dabebf8fdbdede1a3ad6333500c6663ecd15c98f | ||
state_secure : ℙ SYSTEM
----
sys:SYSTEM • sys state_secure ¤
(class, clear:î; inp:IN; s,s':STATE2
| ((0 .. class) ò s) = ((0 .. class) ò s')
• (0 .. class) ò (first (sys (clear, inp, s)))
= (0 .. class) ò (first (sys (clear, inp, s')))) | ZAX | state_secure | zed | src/zed/usr023_slides.doc | [] | [
"IN",
"STATE2",
"SYSTEM"
] | https://github.com/RobArthan/pp | dabebf8fdbdede1a3ad6333500c6663ecd15c98f | ||
secure : ℙ SYSTEM
----
sys:SYSTEM • sys secure ¤
sys state_secure ∧ sys out_secure | ZAX | secure | zed | src/zed/usr023_slides.doc | [] | [
"SYSTEM",
"out_secure",
"state_secure"
] | https://github.com/RobArthan/pp | dabebf8fdbdede1a3ad6333500c6663ecd15c98f | ||
APPLICATION | (IN × STATE2)
→ (STATE2 × OUT) | Z | APPLICATION | zed | src/zed/usr023_slides.doc | [] | [
"IN",
"STATE2"
] | https://github.com/RobArthan/pp | dabebf8fdbdede1a3ad6333500c6663ecd15c98f | ||
KERNEL | APPLICATION → SYSTEM | Z | KERNEL | zed | src/zed/usr023_slides.doc | [] | [
"APPLICATION",
"SYSTEM"
] | https://github.com/RobArthan/pp | dabebf8fdbdede1a3ad6333500c6663ecd15c98f | ||
construction : APPLICATION × KERNEL → SYSTEM
----
appl:APPLICATION; kernel:KERNEL •
construction (appl, kernel) = kernel appl | ZAX | construction | zed | src/zed/usr023_slides.doc | [] | [
"APPLICATION",
"KERNEL",
"SYSTEM"
] | https://github.com/RobArthan/pp | dabebf8fdbdede1a3ad6333500c6663ecd15c98f | ||
secure_kernel : ℙ KERNEL
----
kernel:KERNEL • kernel secure_kernel ¤
(appl:APPLICATION •
(construction (appl, kernel)) secure) | ZAX | secure_kernel | zed | src/zed/usr023_slides.doc | [] | [
"APPLICATION",
"KERNEL",
"construction",
"secure"
] | https://github.com/RobArthan/pp | dabebf8fdbdede1a3ad6333500c6663ecd15c98f | ||
kernel_implementation : KERNEL
----
clear:î; inp:IN;
state:STATE2; appl:APPLICATION •
kernel_implementation appl (clear, inp, state) =
( state « ((0 .. (clear-1)) á
(first (appl (inp, (0 .. clear) ò state)))),
second (appl (inp, (0 .. clear) ò state)) ) | ZAX | kernel_implementation | zed | src/zed/usr023_slides.doc | [] | [
"APPLICATION",
"IN",
"KERNEL",
"STATE2"
] | https://github.com/RobArthan/pp | dabebf8fdbdede1a3ad6333500c6663ecd15c98f | ||
SYSTEM | (î × IN × STATE2) → (STATE2 × OUT) | Z | SYSTEM | zed | src/zed/wrk050.doc | [] | [
"IN",
"STATE2"
] | https://github.com/RobArthan/pp | dabebf8fdbdede1a3ad6333500c6663ecd15c98f | ||
out_secure : ℙ SYSTEM
----
sys:SYSTEM • sys out_secure ¤
( clear:î; inp:IN; s,s':STATE2
| (0 .. clear) ò s = (0 .. clear) ò s'
• second (sys (clear, inp, s))
= second (sys (clear, inp, s'))) | ZAX | out_secure | zed | src/zed/wrk050.doc | [] | [
"IN",
"STATE2",
"SYSTEM"
] | https://github.com/RobArthan/pp | dabebf8fdbdede1a3ad6333500c6663ecd15c98f | ||
state_secure : ℙ SYSTEM
----
sys:SYSTEM • sys state_secure ¤
(class, clear:î; inp:IN; s,s':STATE2
| ((0 .. class) ò s) = ((0 .. class) ò s')
• (0 .. class) ò (first (sys (clear, inp, s)))
= (0 .. class) ò (first (sys (clear, inp, s')))) | ZAX | state_secure | zed | src/zed/wrk050.doc | [] | [
"IN",
"STATE2",
"SYSTEM"
] | https://github.com/RobArthan/pp | dabebf8fdbdede1a3ad6333500c6663ecd15c98f | ||
secure : ℙ SYSTEM
----
sys:SYSTEM • sys secure ¤ sys state_secure
∧ sys out_secure | ZAX | secure | zed | src/zed/wrk050.doc | [] | [
"SYSTEM",
"out_secure",
"state_secure"
] | https://github.com/RobArthan/pp | dabebf8fdbdede1a3ad6333500c6663ecd15c98f | ||
APPLICATION | (IN × STATE2) → (STATE2 × OUT) | Z | APPLICATION | zed | src/zed/wrk050.doc | [] | [
"IN",
"STATE2"
] | https://github.com/RobArthan/pp | dabebf8fdbdede1a3ad6333500c6663ecd15c98f | ||
construction : APPLICATION × KERNEL → SYSTEM
----
appl:APPLICATION; kernel:KERNEL •
construction (appl, kernel) = kernel appl | ZAX | construction | zed | src/zed/wrk050.doc | [] | [
"APPLICATION",
"KERNEL",
"SYSTEM"
] | https://github.com/RobArthan/pp | dabebf8fdbdede1a3ad6333500c6663ecd15c98f | ||
secure_kernel : ℙ KERNEL
----
kernel:KERNEL • kernel secure_kernel ¤
(appl:APPLICATION • (construction (appl, kernel)) secure) | ZAX | secure_kernel | zed | src/zed/wrk050.doc | [] | [
"APPLICATION",
"KERNEL",
"construction",
"secure"
] | https://github.com/RobArthan/pp | dabebf8fdbdede1a3ad6333500c6663ecd15c98f | ||
kernel_implementation : KERNEL
----
clear:î; inp:IN; state:STATE2; appl:APPLICATION •
kernel_implementation appl (clear, inp, state) =
((state « ((0 .. (clear-1)) á (first (appl (inp, (0 .. clear) ò state)))),
second (appl (inp, (0 .. clear) ò state)))) | ZAX | kernel_implementation | zed | src/zed/wrk050.doc | [] | [
"APPLICATION",
"IN",
"KERNEL",
"STATE2"
] | https://github.com/RobArthan/pp | dabebf8fdbdede1a3ad6333500c6663ecd15c98f | ||
application : APPLICATION
----
true | ZAX | application | zed | src/zed/wrk050.doc | [] | [
"APPLICATION"
] | https://github.com/RobArthan/pp | dabebf8fdbdede1a3ad6333500c6663ecd15c98f | ||
system : SYSTEM
----
system = construction(application, kernel_implementation) | ZAX | system | zed | src/zed/wrk050.doc | [] | [
"SYSTEM",
"application",
"construction",
"kernel_implementation"
] | https://github.com/RobArthan/pp | dabebf8fdbdede1a3ad6333500c6663ecd15c98f |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.