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 |
|---|---|---|---|---|---|---|---|---|---|---|
OPT[X] | {A : ℙ X | x, y: A • x = y} | Z | OPT | daz | src/daz/dtd502.doc | [] | [] | https://github.com/RobArthan/pp | dabebf8fdbdede1a3ad6333500c6663ecd15c98f | ||
[Z_ID] | Z | Z_ID | daz | src/daz/dtd502.doc | [] | [] | https://github.com/RobArthan/pp | dabebf8fdbdede1a3ad6333500c6663ecd15c98f | ||
Z_UNARY_OP ::=
z_unary_minus
| z_real_unary_minus
| z_bool_not
| z_abs
| z_real_abs
| z_char_lit
| z_string_lit
| z_array_not | Z | Z_UNARY_OP | daz | src/daz/dtd502.doc | [] | [] | https://github.com/RobArthan/pp | dabebf8fdbdede1a3ad6333500c6663ecd15c98f | ||
Z_BIN_OP ::=
z_bool_and
| z_bool_or
| z_bool_xor
| z_bool_and_then
| z_bool_or_else
| z_bool_eq
| z_bool_noteq
| z_bool_less
| z_bool_less_eq
| z_bool_greater
| z_bool_greater_eq
| z_add
| z_minus
| z_times
| z_intdiv
| z_mod
| z_rem
| z_expon
| z_bool_mem
| z_bool_notmem
| z_real_add
| z_real_mi... | Z | Z_BIN_OP | daz | src/daz/dtd502.doc | [] | [] | https://github.com/RobArthan/pp | dabebf8fdbdede1a3ad6333500c6663ecd15c98f | ||
[Z_REAL] | Z | Z_REAL | daz | src/daz/dtd502.doc | [] | [] | https://github.com/RobArthan/pp | dabebf8fdbdede1a3ad6333500c6663ecd15c98f | ||
[Z_STRING] | Z | Z_STRING | daz | src/daz/dtd502.doc | [] | [] | https://github.com/RobArthan/pp | dabebf8fdbdede1a3ad6333500c6663ecd15c98f | ||
[OTHER_Z_EXP] | Z | OTHER_Z_EXP | daz | src/daz/dtd502.doc | [] | [] | https://github.com/RobArthan/pp | dabebf8fdbdede1a3ad6333500c6663ecd15c98f | ||
[OTHER_Z_PRED] | Z | OTHER_Z_PRED | daz | src/daz/dtd502.doc | [] | [] | https://github.com/RobArthan/pp | dabebf8fdbdede1a3ad6333500c6663ecd15c98f | ||
Z_EXP ::=
z_id Z_ID | z_num ú | z_tfun (Z_EXP × Z_EXP) |
z_pfun (Z_EXP × Z_EXP) |
z_int_rng (Z_EXP × Z_EXP) | z_real_rng (Z_EXP × Z_EXP)|
z_dom Z_EXP | z_dom_res (Z_EXP × Z_EXP) | z_inv Z_EXP |
z_id_rel Z_EXP | z_size Z_EXP | z_set ( ℙ Z_EXP) |
z_set_minus (Z_EXP × Z_EXP) |
z_set_comp (Z_Decl[Z_EXP... | Z | Z_EXP | daz | src/daz/dtd502.doc | [] | [
"OTHER_Z_EXP",
"Z_ID",
"Z_PRED",
"Z_REAL",
"Z_STRING",
"seq"
] | https://github.com/RobArthan/pp | dabebf8fdbdede1a3ad6333500c6663ecd15c98f | ||
*)
Z_PRED ::=
z_true | z_eq (Z_EXP × Z_EXP) | z_and (Z_PRED × Z_PRED) |
z_many_and ( ℙ Z_PRED) |
z_elem (Z_EXP × Z_EXP) | z_notelem (Z_EXP × Z_EXP) |
z_noteq (Z_EXP × Z_EXP) | z_less_eq (Z_EXP × Z_EXP) |
z_greater (Z_EXP × Z_EXP) | z_forall ((seq Z_Decl[Z_EXP]) × Z_PRED) |
z_exists ( ℙ Z_Decl[Z... | Z | Z_PRED | daz | src/daz/dtd502.doc | [] | [
"OTHER_Z_PRED",
"Z_EXP",
"seq"
] | https://github.com/RobArthan/pp | dabebf8fdbdede1a3ad6333500c6663ecd15c98f | ||
zid : Z_ID à Z_EXP | ZAX | zid | daz | src/daz/dtd502.doc | [] | [
"Z_EXP",
"Z_ID"
] | https://github.com/RobArthan/pp | dabebf8fdbdede1a3ad6333500c6663ecd15c98f | ||
VC | ( ℙ Z_Decl[Z_EXP] × Sequent) | Z | VC | daz | src/daz/dtd502.doc | [] | [
"Z_EXP"
] | https://github.com/RobArthan/pp | dabebf8fdbdede1a3ad6333500c6663ecd15c98f | ||
[OTHER_Z] | Z | OTHER_Z | daz | src/daz/dtd502.doc | [] | [] | https://github.com/RobArthan/pp | dabebf8fdbdede1a3ad6333500c6663ecd15c98f | ||
Z_PARA ::=
z_given (Z_ID) | z_module (Z_MODULE) | z_parents (Z_PARENTS) |
z_eq_eq (Z_ID × Z_EXP) | z_schema (Z_Schema) |
z_constrained_schema(Z_Constrained_Schema) | z_ax (Z_Ax) |
z_vcs ( ℙ VC) | other_z (OTHER_Z) | Z | Z_PARA | daz | src/daz/dtd502.doc | [] | [
"OTHER_Z",
"VC",
"Z_EXP",
"Z_ID"
] | https://github.com/RobArthan/pp | dabebf8fdbdede1a3ad6333500c6663ecd15c98f | ||
[OTHER_Z_TYPE] | Z | OTHER_Z_TYPE | daz | src/daz/dtd502.doc | [] | [] | https://github.com/RobArthan/pp | dabebf8fdbdede1a3ad6333500c6663ecd15c98f | ||
Z_TYPE ::=
z_int_type |
z_real_type |
z_power_type (Z_TYPE) |
z_sch_type (Z_Schema_Type[Z_TYPE]) |
other_z_type (OTHER_Z_TYPE) | Z | Z_TYPE | daz | src/daz/dtd502.doc | [] | [
"OTHER_Z_TYPE"
] | https://github.com/RobArthan/pp | dabebf8fdbdede1a3ad6333500c6663ecd15c98f | ||
z_type_of : Z_EXP → Z_TYPE | ZAX | z_type_of | daz | src/daz/dtd502.doc | [] | [
"Z_EXP",
"Z_TYPE"
] | https://github.com/RobArthan/pp | dabebf8fdbdede1a3ad6333500c6663ecd15c98f | ||
[ID] | Z | ID | daz | src/daz/dtd502.doc | [] | [] | https://github.com/RobArthan/pp | dabebf8fdbdede1a3ad6333500c6663ecd15c98f | ||
TMARK : ℙ ID | ZAX | TMARK | daz | src/daz/dtd502.doc | [] | [
"ID"
] | https://github.com/RobArthan/pp | dabebf8fdbdede1a3ad6333500c6663ecd15c98f | ||
OPT_TMARK ::= opt_tmark_tmark (TMARK) | opt_tmark_none | Z | OPT_TMARK | daz | src/daz/dtd502.doc | [] | [
"TMARK"
] | https://github.com/RobArthan/pp | dabebf8fdbdede1a3ad6333500c6663ecd15c98f | ||
[AGG_CHOICE] | Z | AGG_CHOICE | daz | src/daz/dtd502.doc | [] | [] | https://github.com/RobArthan/pp | dabebf8fdbdede1a3ad6333500c6663ecd15c98f | ||
UNARY_OP ::=
spark_unary_add | spark_unary_minus | spark_not | spark_abs | Z | UNARY_OP | daz | src/daz/dtd502.doc | [] | [] | https://github.com/RobArthan/pp | dabebf8fdbdede1a3ad6333500c6663ecd15c98f | ||
BIN_OP ::=
spark_and | spark_or | spark_xor | spark_and_then | spark_or_else |
spark_eq | spark_noteq | spark_less | spark_less_eq | spark_greater |
spark_greater_eq | spark_add | spark_minus | spark_times | spark_intdiv |
spark_mod | spark_rem | spark_expon | spark_mem | spark_notmem |
spark_over | spark_cat | Z | BIN_OP | daz | src/daz/dtd502.doc | [] | [] | https://github.com/RobArthan/pp | dabebf8fdbdede1a3ad6333500c6663ecd15c98f | ||
MEM_OP | {spark_mem, spark_notmem} | Z | MEM_OP | daz | src/daz/dtd502.doc | [] | [] | https://github.com/RobArthan/pp | dabebf8fdbdede1a3ad6333500c6663ecd15c98f | ||
fst, lst, suc, pred, pos, val, length, range, digits, delta : ID | ZAX | fst | daz | src/daz/dtd502.doc | [] | [
"ID"
] | https://github.com/RobArthan/pp | dabebf8fdbdede1a3ad6333500c6663ecd15c98f | ||
ATTRIB | {fst, lst, suc, pred, pos, val, length, range, digits, delta} | Z | ATTRIB | daz | src/daz/dtd502.doc | [] | [
"fst"
] | https://github.com/RobArthan/pp | dabebf8fdbdede1a3ad6333500c6663ecd15c98f | ||
aft, base, emax, epsilon,
fore, large, machine_emax, machine_emin,
machine_mantissa, machine_overflows,
machine_radix, machine_rounds,
mantissa, safe_emax, safe_large, safe_small,
size, small : ID | ZAX | aft | daz | src/daz/dtd502.doc | [] | [
"ID"
] | https://github.com/RobArthan/pp | dabebf8fdbdede1a3ad6333500c6663ecd15c98f | ||
OTHER_ATTRIB | {
aft, base, emax, epsilon,
fore, large, machine_emax, machine_emin,
machine_mantissa, machine_overflows, machine_radix, machine_rounds,
mantissa, safe_emax, safe_large, safe_small,
size, small} | Z | OTHER_ATTRIB | daz | src/daz/dtd502.doc | [] | [
"aft"
] | https://github.com/RobArthan/pp | dabebf8fdbdede1a3ad6333500c6663ecd15c98f | ||
[ATTRIB_DESIG] | Z | ATTRIB_DESIG | daz | src/daz/dtd502.doc | [] | [] | https://github.com/RobArthan/pp | dabebf8fdbdede1a3ad6333500c6663ecd15c98f | ||
[INT_LIT] | Z | INT_LIT | daz | src/daz/dtd502.doc | [] | [] | https://github.com/RobArthan/pp | dabebf8fdbdede1a3ad6333500c6663ecd15c98f | ||
[REAL_LIT] | Z | REAL_LIT | daz | src/daz/dtd502.doc | [] | [] | https://github.com/RobArthan/pp | dabebf8fdbdede1a3ad6333500c6663ecd15c98f | ||
[CHAR_LIT] | Z | CHAR_LIT | daz | src/daz/dtd502.doc | [] | [] | https://github.com/RobArthan/pp | dabebf8fdbdede1a3ad6333500c6663ecd15c98f | ||
[STRING_LIT] | Z | STRING_LIT | daz | src/daz/dtd502.doc | [] | [] | https://github.com/RobArthan/pp | dabebf8fdbdede1a3ad6333500c6663ecd15c98f | ||
[OTHER_EXP] | Z | OTHER_EXP | daz | src/daz/dtd502.doc | [] | [] | https://github.com/RobArthan/pp | dabebf8fdbdede1a3ad6333500c6663ecd15c98f | ||
EXP ::=
Id ID | int INT_LIT | array_agg_pos (Agg_Pos[EXP]) |
array_agg_pos_others (Agg_Pos_Others[EXP]) |
array_agg_others (Agg_Others[EXP]) |
array_agg_named (Agg_Named[EXP]) |
array_agg_named_others (Agg_Named_Others[EXP]) |
rec_agg_pos (Rec_Agg_Pos[EXP]) |
rec_agg_named (Rec_Agg_Named[EXP]) |
unary_e... | Z | EXP | daz | src/daz/dtd502.doc | [] | [
"CHAR_LIT",
"ID",
"INT_LIT",
"Id",
"OTHER_EXP",
"REAL_LIT",
"STRING_LIT",
"Z_EXP",
"real"
] | https://github.com/RobArthan/pp | dabebf8fdbdede1a3ad6333500c6663ecd15c98f | ||
COMP_SUB_IND ::=
comp_sub_ind_tmark (TMARK)
| comp_sub_ind_range (EXP × EXP) | Z | COMP_SUB_IND | daz | src/daz/dtd502.doc | [] | [
"EXP",
"TMARK"
] | https://github.com/RobArthan/pp | dabebf8fdbdede1a3ad6333500c6663ecd15c98f | ||
COMP_CONSTRAINT ::=
comp_no_con
| comp_index_con (seq COMP_SUB_IND)
| comp_disc_con (ID ß EXP) | Z | COMP_CONSTRAINT | daz | src/daz/dtd502.doc | [] | [
"COMP_SUB_IND",
"EXP",
"ID",
"seq"
] | https://github.com/RobArthan/pp | dabebf8fdbdede1a3ad6333500c6663ecd15c98f | ||
TYPE_DEF ::= enum_type_def Enum_Type_Def | int_type_def (Range[EXP]) |
modular_type_def Modulus
uncon_array_def Array_Def | con_array_def Array_Def |
record_type_def Record_Type_Def |
fixed_type_def Fixed_Type_Def |
floating_type_def_range Floating_Type_Def_Range |
floating_type_def_no_range Floating_Type_D... | Z | TYPE_DEF | daz | src/daz/dtd502.doc | [] | [
"EXP"
] | https://github.com/RobArthan/pp | dabebf8fdbdede1a3ad6333500c6663ecd15c98f | ||
CONSTRAINT ::= range_con (Range[EXP])
| floating_con Floating_Type_Def_Range
| fixed_con Fixed_Type_Def
| index_con (seq TMARK)
| discriminant_con (ID ß EXP)
| no_con | Z | CONSTRAINT | daz | src/daz/dtd502.doc | [] | [
"EXP",
"ID",
"TMARK",
"seq"
] | https://github.com/RobArthan/pp | dabebf8fdbdede1a3ad6333500c6663ecd15c98f | ||
BASIC_DECL ::= const_decl (Const_Decl[EXP]) | type_decl Type_Decl |
subtype_decl Subtype_Decl | Z | BASIC_DECL | daz | src/daz/dtd502.doc | [] | [
"EXP"
] | https://github.com/RobArthan/pp | dabebf8fdbdede1a3ad6333500c6663ecd15c98f | ||
SI_Discrete_Range ::=
si_discrete_range_subind Sub_Ind
| si_discrete_range_range (Range[EXP]) | Z | SI_Discrete_Range | daz | src/daz/dtd502.doc | [] | [
"EXP"
] | https://github.com/RobArthan/pp | dabebf8fdbdede1a3ad6333500c6663ecd15c98f | ||
SI_CONSTRAINT ::=
si_range_con (Range[EXP]) | si_fixed_con Fixed_Type_Def |
si_floating_con Floating_Type_Def_Range |
si_index_con (seq SI_Discrete_Range) |
si_discriminant_con (ID ß EXP) | si_no_con | Z | SI_CONSTRAINT | daz | src/daz/dtd502.doc | [] | [
"EXP",
"ID",
"SI_Discrete_Range",
"seq"
] | https://github.com/RobArthan/pp | dabebf8fdbdede1a3ad6333500c6663ecd15c98f | ||
SI_TYPE_DEF ::=
si_enum_type_def Enum_Type_Def | si_int_type_def (Range[EXP]) |
si_modular_type_def Modulus |
si_uncon_array_def SI_Array_Def | si_con_array_def SI_Array_Def |
si_record_type_def SI_Record_Type_Def |
si_fixed_type_def Fixed_Type_Def |
si_floating_type_def_range Floating_Type_Def_... | Z | SI_TYPE_DEF | daz | src/daz/dtd502.doc | [] | [
"EXP"
] | https://github.com/RobArthan/pp | dabebf8fdbdede1a3ad6333500c6663ecd15c98f | ||
SI_BASIC_DECL ::=
si_const_decl SI_Const_Decl | si_type_decl SI_Type_Decl |
si_subtype_decl SI_Subtype_Decl | Z | SI_BASIC_DECL | daz | src/daz/dtd502.doc | [] | [] | https://github.com/RobArthan/pp | dabebf8fdbdede1a3ad6333500c6663ecd15c98f | ||
Z_PRED0 : ℙ Z_PRED | ZAX | Z_PRED0 | daz | src/daz/dtd502.doc | [] | [
"Z_PRED"
] | https://github.com/RobArthan/pp | dabebf8fdbdede1a3ad6333500c6663ecd15c98f | ||
COND : ℙ EXP | ZAX | COND | daz | src/daz/dtd502.doc | [] | [
"EXP"
] | https://github.com/RobArthan/pp | dabebf8fdbdede1a3ad6333500c6663ecd15c98f | ||
CASE_CHOICE ::= case_exp EXP | case_range (Range[EXP]) | Z | CASE_CHOICE | daz | src/daz/dtd502.doc | [] | [
"EXP"
] | https://github.com/RobArthan/pp | dabebf8fdbdede1a3ad6333500c6663ecd15c98f | ||
STATIC_EXP : ℙ EXP | ZAX | STATIC_EXP | daz | src/daz/dtd502.doc | [] | [
"EXP"
] | https://github.com/RobArthan/pp | dabebf8fdbdede1a3ad6333500c6663ecd15c98f | ||
LOOP_DIRECTION ::= Forwards | Reverse | Z | LOOP_DIRECTION | daz | src/daz/dtd502.doc | [] | [] | https://github.com/RobArthan/pp | dabebf8fdbdede1a3ad6333500c6663ecd15c98f | ||
retrieve_spec_stmt : ID ß Spec | ZAX | retrieve_spec_stmt | daz | src/daz/dtd502.doc | [] | [
"ID"
] | https://github.com/RobArthan/pp | dabebf8fdbdede1a3ad6333500c6663ecd15c98f | ||
free_ids : Z_EXP → ℙ Z_ID | ZAX | free_ids | daz | src/daz/dtd502.doc | [] | [
"Z_EXP",
"Z_ID"
] | https://github.com/RobArthan/pp | dabebf8fdbdede1a3ad6333500c6663ecd15c98f | ||
Statement
::= null
| assign Assign
| spec_no_ivars Spec_No_Ivars
| semicolon (Statement × Statement)
| if_then_else (If_Then_Else[Statement])
| case (Case[Statement])
| case_others (Case_Others[Statement])
| loop Loop
| while While
| for_static For_Static
| for_tmark For_Tmark
| exit_when Exi... | Z | Statement | daz | src/daz/dtd502.doc | [] | [] | https://github.com/RobArthan/pp | dabebf8fdbdede1a3ad6333500c6663ecd15c98f | ||
add_hyps : ℙ Z_PRED × ℙ Sequent → ℙ Sequent
----
new: ℙ Z_PRED; S : ℙ Sequent •
add_hyps (new, S) =
{old: ℙ Z_PRED; c : Z_PRED | old ô c S • (old À new) ô c} | ZAX | add_hyps | daz | src/daz/dtd505.doc | [] | [
"Z_PRED",
"new"
] | https://github.com/RobArthan/pp | dabebf8fdbdede1a3ad6333500c6663ecd15c98f | ||
add_domain_conds : ℙ Z_EXP × ℙ Sequent → ℙ Sequent
----
zes : ℙ Z_EXP; S : ℙ Sequent •
add_domain_conds(zes, S) = add_hyps(Þ(domain_conds¨zes©), S) | ZAX | add_domain_conds | daz | src/daz/dtd505.doc | [] | [
"Z_EXP",
"add_hyps",
"domain_conds"
] | https://github.com/RobArthan/pp | dabebf8fdbdede1a3ad6333500c6663ecd15c98f | ||
add_hyps_to_side : ℙ Z_PRED × ℙ (Sequent × ℙ Z_ID) → ℙ (Sequent × ℙ Z_ID)
----
new: ℙ Z_PRED; S : ℙ (Sequent × ℙ Z_ID) •
add_hyps_to_side (new, S) =
{old: ℙ Z_PRED; c : Z_PRED; w : ℙ Z_ID | (old ô c, w) S • ((old À new) ô c, w)} | ZAX | add_hyps_to_side | daz | src/daz/dtd505.doc | [] | [
"Z_ID",
"Z_PRED",
"new"
] | https://github.com/RobArthan/pp | dabebf8fdbdede1a3ad6333500c6663ecd15c98f | ||
sub : (Z_PRED × Z_ID × Z_EXP) → Z_PRED | ZAX | sub | daz | src/daz/dtd505.doc | [] | [
"Z_EXP",
"Z_ID",
"Z_PRED"
] | https://github.com/RobArthan/pp | dabebf8fdbdede1a3ad6333500c6663ecd15c98f | ||
subs_exp : (Z_EXP × ℙ Z_ID × ℙ Z_ID) → Z_EXP | ZAX | subs_exp | daz | src/daz/dtd505.doc | [] | [
"Z_EXP",
"Z_ID"
] | https://github.com/RobArthan/pp | dabebf8fdbdede1a3ad6333500c6663ecd15c98f | ||
subs_pred : (Z_PRED × ℙ Z_ID × ℙ Z_ID) → Z_PRED | ZAX | subs_pred | daz | src/daz/dtd505.doc | [] | [
"Z_ID",
"Z_PRED"
] | https://github.com/RobArthan/pp | dabebf8fdbdede1a3ad6333500c6663ecd15c98f | ||
subseq : ( ℙ Sequent × Z_ID × Z_EXP) → ℙ Sequent
----
S : ℙ Sequent; x : Z_ID; E : Z_EXP •
subseq (S,x,E) =
{ Sequent | H ô c S • { h : H • sub (h,x,E)} ô sub (c,x,E) } | ZAX | subseq | daz | src/daz/dtd505.doc | [] | [
"Z_EXP",
"Z_ID",
"sub"
] | https://github.com/RobArthan/pp | dabebf8fdbdede1a3ad6333500c6663ecd15c98f | ||
tmark_of_prefix : Z_EXP ß TMARK | ZAX | tmark_of_prefix | daz | src/daz/dtd505.doc | [] | [
"TMARK",
"Z_EXP"
] | https://github.com/RobArthan/pp | dabebf8fdbdede1a3ad6333500c6663ecd15c98f | ||
slide_assign : Statement → Statement
----
slide_assign = (id Statement) «
{st : Statement; Assign; Assign'; tm : TMARK
| st = assign(ÊAssign) ∧ E ran auxiliary_exp ∧
tm = tmark_of_prefix(trans_exp name) ∧
name' = name ∧ E' = auxiliary_exp(slide_to_tmark(trans_exp E, tm))
• st í assign(ÊAssign')} | ZAX | slide_assign | daz | src/daz/dtd505.doc | [] | [
"Statement",
"TMARK",
"id",
"slide_to_tmark",
"tmark_of_prefix",
"trans_exp"
] | https://github.com/RobArthan/pp | dabebf8fdbdede1a3ad6333500c6663ecd15c98f | ||
z_record_update : TMARK × ID × Z_EXP × Z_EXP → Z_EXP | ZAX | z_record_update | daz | src/daz/dtd505.doc | [] | [
"ID",
"TMARK",
"Z_EXP"
] | https://github.com/RobArthan/pp | dabebf8fdbdede1a3ad6333500c6663ecd15c98f | ||
TRUE, FALSE : Z_ID | ZAX | TRUE | daz | src/daz/dtd505.doc | [] | [
"FALSE",
"Z_ID"
] | https://github.com/RobArthan/pp | dabebf8fdbdede1a3ad6333500c6663ecd15c98f | ||
trans_case_choices : ℙ CASE_CHOICE → Z_EXP
----
choices : ℙ CASE_CHOICE •
zranges : ℙ Z_EXP; zsingles : Z_EXP •
zranges =
{ Range | case_range (Ê Range) choices •
z_rng (trans_exp lo, trans_exp hi) } ∧
zsingles =
z_set {ex : EXP | case_exp ex choices • trans_exp ex } ∧
trans_case_choice... | ZAX | trans_case_choices | daz | src/daz/dtd505.doc | [] | [
"CASE_CHOICE",
"EXP",
"Z_EXP",
"trans_exp",
"z_rng"
] | https://github.com/RobArthan/pp | dabebf8fdbdede1a3ad6333500c6663ecd15c98f | ||
RETURN | FUN_RETURN ² PROC_RETURN | Z | RETURN | daz | src/daz/dtd505.doc | [] | [] | https://github.com/RobArthan/pp | dabebf8fdbdede1a3ad6333500c6663ecd15c98f | ||
proc_call_spec :
(Proc_Call × Formal_Proc) ß Spec × Statement × ℙ Z_PRED | ZAX | proc_call_spec | daz | src/daz/dtd505.doc | [] | [
"Statement",
"Z_PRED"
] | https://github.com/RobArthan/pp | dabebf8fdbdede1a3ad6333500c6663ecd15c98f | ||
proc_call_range_checks : (Proc_Call × Formal_Proc) ß ℙ Sequent | ZAX | proc_call_range_checks | daz | src/daz/dtd505.doc | [] | [] | https://github.com/RobArthan/pp | dabebf8fdbdede1a3ad6333500c6663ecd15c98f | ||
z_log_con_def : ℙ Z_ID × ℙ Z_ID → Log_Con_Def → Z_PRED
----
u, v : ℙ Z_ID; Log_Con_Def •
z_log_con_def(u,v)(ÊLog_Con_Def) = z_eq(zid X, subs_exp(E, u, v)) | ZAX | z_log_con_def | daz | src/daz/dtd505.doc | [] | [
"Z_ID",
"Z_PRED",
"subs_exp",
"zid"
] | https://github.com/RobArthan/pp | dabebf8fdbdede1a3ad6333500c6663ecd15c98f | ||
free_vars_zpred : Z_PRED → ℙ Z_ID | ZAX | free_vars_zpred | daz | src/daz/dtd505.doc | [] | [
"Z_ID",
"Z_PRED"
] | https://github.com/RobArthan/pp | dabebf8fdbdede1a3ad6333500c6663ecd15c98f | ||
entire_var_exp : EXP ß ID | ZAX | entire_var_exp | daz | src/daz/dtd505.doc | [] | [
"EXP",
"ID"
] | https://github.com/RobArthan/pp | dabebf8fdbdede1a3ad6333500c6663ecd15c98f | ||
other_vars_exp : EXP → ℙ ID | ZAX | other_vars_exp | daz | src/daz/dtd505.doc | [] | [
"EXP",
"ID"
] | https://github.com/RobArthan/pp | dabebf8fdbdede1a3ad6333500c6663ecd15c98f | ||
vars_exp : EXP → ℙ ID
----
e : EXP • vars_exp e = other_vars_exp e À entire_var_exp¨{e}© | ZAX | vars_exp | daz | src/daz/dtd505.doc | [] | [
"EXP",
"ID",
"entire_var_exp",
"other_vars_exp"
] | https://github.com/RobArthan/pp | dabebf8fdbdede1a3ad6333500c6663ecd15c98f | ||
Anti_Aliasing_Check |
Anti_Aliasing_Check_1 ∧ Anti_Aliasing_Check_2 ∧
Anti_Aliasing_Check_3 | Z | Anti_Aliasing_Check | daz | src/daz/dtd505.doc | [] | [] | https://github.com/RobArthan/pp | dabebf8fdbdede1a3ad6333500c6663ecd15c98f | ||
vc_local_decls : ( ℙ Sequent × Speclab) → ℙ VC | ZAX | vc_local_decls | daz | src/daz/dtd505.doc | [] | [
"VC"
] | https://github.com/RobArthan/pp | dabebf8fdbdede1a3ad6333500c6663ecd15c98f | ||
vcs : (Speclab × Statement) ß ℙ VC
----
Speclab; st : Statement •
Result; s1, s2, s : ℙ Sequent •
vcs (Ê Speclab, st) = vc_local_decls (s, Ê Speclab) ∧
s = s1 À s2
∧ ÊResult = wp (st, { ô post}, Ê Wp_Env)
∧ s1 =
{ Sequent | H ô c WP • ({Pre} À H) ô subs_pred (c, w0, w)}
∧ s2 ... | ZAX | vcs | daz | src/daz/dtd505.doc | [] | [
"Statement",
"VC",
"Z_ID",
"subs_pred",
"vc_local_decls",
"wp"
] | https://github.com/RobArthan/pp | dabebf8fdbdede1a3ad6333500c6663ecd15c98f | ||
basic_declaration | basic_decl_pack_spec ² basic_decl_otherwise | Z | basic_declaration | daz | src/daz/dtd507.doc | [] | [] | https://github.com/RobArthan/pp | dabebf8fdbdede1a3ad6333500c6663ecd15c98f | ||
update_envs_var
| update_subunit_env_var
∧ update_dec_env_var
∧ update_spec_env_var | Z | update_envs_var | daz | src/daz/dtd507.doc | [] | [] | https://github.com/RobArthan/pp | dabebf8fdbdede1a3ad6333500c6663ecd15c98f | ||
no_label : LABEL | ZAX | no_label | daz | src/daz/dtd507.doc | [] | [
"LABEL"
] | https://github.com/RobArthan/pp | dabebf8fdbdede1a3ad6333500c6663ecd15c98f | ||
fun 6 _dot_ | Z | dot | daz | src/daz/dtd507.doc | [] | [] | https://github.com/RobArthan/pp | dabebf8fdbdede1a3ad6333500c6663ecd15c98f | ||
_dot_: (ID × ID) → ID | ZAX | dot | daz | src/daz/dtd507.doc | [] | [
"ID"
] | https://github.com/RobArthan/pp | dabebf8fdbdede1a3ad6333500c6663ecd15c98f | ||
update_envs_k_slot
| update_subunit_env_k_slot
∧ update_dec_env_k_slot
∧ update_spec_env_k_slot | Z | update_envs_k_slot | daz | src/daz/dtd507.doc | [] | [] | https://github.com/RobArthan/pp | dabebf8fdbdede1a3ad6333500c6663ecd15c98f | ||
spec_stmt | spec_stmt_speclabel ² spec_stmt_otherwise | Z | spec_stmt | daz | src/daz/dtd507.doc | [] | [] | https://github.com/RobArthan/pp | dabebf8fdbdede1a3ad6333500c6663ecd15c98f | ||
k_slot_stmt | spec_stmt | Z | k_slot_stmt | daz | src/daz/dtd507.doc | [] | [
"spec_stmt"
] | https://github.com/RobArthan/pp | dabebf8fdbdede1a3ad6333500c6663ecd15c98f | ||
make_module : Z_ID × seq Z_PARA → seq Z_PARA | ZAX | make_module | daz | src/daz/dtd507.doc | [] | [
"Z_ID",
"Z_PARA",
"seq"
] | https://github.com/RobArthan/pp | dabebf8fdbdede1a3ad6333500c6663ecd15c98f | ||
trans_subunit_name : ID × ID → Z_ID | ZAX | trans_subunit_name | daz | src/daz/dtd507.doc | [] | [
"ID",
"Z_ID"
] | https://github.com/RobArthan/pp | dabebf8fdbdede1a3ad6333500c6663ecd15c98f | ||
form_proc | form_proc_pack_spec ² form_proc_pack_body ²
form_proc_pack_body_aux ² form_proc_subunit | Z | form_proc | daz | src/daz/dtd507.doc | [] | [] | https://github.com/RobArthan/pp | dabebf8fdbdede1a3ad6333500c6663ecd15c98f | ||
informal_function : Z_ID | ZAX | informal_function | daz | src/daz/dtd507.doc | [] | [
"Z_ID"
] | https://github.com/RobArthan/pp | dabebf8fdbdede1a3ad6333500c6663ecd15c98f | ||
inf_fun_decl : Informal_Fun → Z_Decl
----
Informal_Fun; Z_Decl •
inf_fun_decl (Ê Informal_Fun) = ÊZ_Decl ¤
zvar = Value(trans_id name) ∧
zexp = zid(informal_function) | ZAX | inf_fun_decl | daz | src/daz/dtd507.doc | [] | [
"informal_function",
"trans_id",
"zid"
] | https://github.com/RobArthan/pp | dabebf8fdbdede1a3ad6333500c6663ecd15c98f | ||
trans_informal_fun : Informal_Fun → Z_Ax
----
f: Informal_Fun; Z_Ax •
trans_informal_fun f = ÊZ_Ax ¤ decls = {inf_fun_decl f} ∧ preds = {} | ZAX | trans_informal_fun | daz | src/daz/dtd507.doc | [] | [
"inf_fun_decl"
] | https://github.com/RobArthan/pp | dabebf8fdbdede1a3ad6333500c6663ecd15c98f | ||
add_fun_ax : (seq Z_PARA) × Z_PARA → seq Z_PARA
----
z : seq Z_PARA; para : Z_PARA •
para ran z ∧ add_fun_ax(z, para) = z
² para ran z ∧ add_fun_ax(z, para) = z ë §para¢ | ZAX | add_fun_ax | daz | src/daz/dtd507.doc | [] | [
"Z_PARA",
"seq"
] | https://github.com/RobArthan/pp | dabebf8fdbdede1a3ad6333500c6663ecd15c98f | ||
inf_fun | inf_fun_pack_spec ² inf_fun_otherwise | Z | inf_fun | daz | src/daz/dtd507.doc | [] | [] | https://github.com/RobArthan/pp | dabebf8fdbdede1a3ad6333500c6663ecd15c98f | ||
z_forall_opt : (seq Z_Decl) × Z_PRED → Z_PRED
----
zdecs: seq Z_Decl; zpred : Z_PRED; zres : Z_PRED •
z_forall_opt (zdecs, zpred) = zres ¤
zdecs = §¢ ∧ zres = zpred ²
zdecs ½ §¢ ∧ zres = z_forall(zdecs, zpred) | ZAX | z_forall_opt | daz | src/daz/dtd507.doc | [] | [
"Z_PRED",
"seq",
"zpred"
] | https://github.com/RobArthan/pp | dabebf8fdbdede1a3ad6333500c6663ecd15c98f | ||
fun_sig : (seq Z_EXP) × Z_EXP → Z_EXP
----
zpars : seq Z_EXP; zret : Z_EXP; zsig : Z_EXP •
fun_sig (zpars, zret) = zsig ¤
zpars = §¢ ∧ zsig = zret ²
zpars ½ §¢ ∧ zsig = z_tfun(z_many_cross zpars, zret) | ZAX | fun_sig | daz | src/daz/dtd507.doc | [] | [
"Z_EXP",
"seq"
] | https://github.com/RobArthan/pp | dabebf8fdbdede1a3ad6333500c6663ecd15c98f | ||
par_tmark : Param_Spec → Z_ID | ZAX | par_tmark | daz | src/daz/dtd507.doc | [] | [
"Z_ID"
] | https://github.com/RobArthan/pp | dabebf8fdbdede1a3ad6333500c6663ecd15c98f | ||
var_sig : ENV → Z_ID → Z_EXP | ZAX | var_sig | daz | src/daz/dtd507.doc | [] | [
"Z_EXP",
"Z_ID"
] | https://github.com/RobArthan/pp | dabebf8fdbdede1a3ad6333500c6663ecd15c98f | ||
fun_decl : ENV → Formal_Fun → Z_Decl
----
env : ENV; Formal_Fun; Z_Decl •
fun_decl env (Ê Formal_Fun) = ÊZ_Decl ¤
zvar = Value(trans_id name) ∧
zexp = fun_sig(map (var_sig env) globals,
fun_sig(map (zid o par_tmark) formal_pars,
zid(trans_id return_type))) | ZAX | fun_decl | daz | src/daz/dtd507.doc | [] | [
"fun_sig",
"par_tmark",
"trans_id",
"var_sig",
"zid"
] | https://github.com/RobArthan/pp | dabebf8fdbdede1a3ad6333500c6663ecd15c98f | ||
z_par_decl : Param_Spec → Z_Decl | ZAX | z_par_decl | daz | src/daz/dtd507.doc | [] | [] | https://github.com/RobArthan/pp | dabebf8fdbdede1a3ad6333500c6663ecd15c98f | ||
z_vars_of_env : ENV → ℙ Z_ID
----
ENV; zi : Z_ID • zi z_vars_of_env (ÊENV) ¤
( i: dom blocks; Var_Decl •
ÊVar_Decl (blocks i).vc_vars ∧ trans_id var = zi)
² ( i: dom blocks; Param_Spec •
ÊParam_Spec (blocks i).vc_pars ∧ trans_id var = zi)
² ( i: dom blocks; Z_Decl[Z_EXP] •
ÊZ_Decl (blocks i).vc_aux... | ZAX | z_vars_of_env | daz | src/daz/dtd507.doc | [] | [
"Z_EXP",
"Z_ID",
"trans_id"
] | https://github.com/RobArthan/pp | dabebf8fdbdede1a3ad6333500c6663ecd15c98f | ||
z_var_decl : ENV → Z_ID → Z_Decl
----
env: ENV; zname : Z_ID; Z_Decl •
z_var_decl env zname = ÊZ_Decl ¤
(zname z_vars_of_env env ∧
zvar = Value zname ∧ zexp = var_sig env zname)
²
(zname z_vars_of_env env ∧
zvar = Nil ∧ zexp = zid zname) | ZAX | z_var_decl | daz | src/daz/dtd507.doc | [] | [
"Z_ID",
"var_sig",
"z_vars_of_env",
"zid"
] | https://github.com/RobArthan/pp | dabebf8fdbdede1a3ad6333500c6663ecd15c98f | ||
trans_formal_fun : ENV → Formal_Fun ß Z_Ax
----
env : ENV; Formal_Fun; Z_Ax •
trans_formal_fun env (ÊFormal_Fun) = ÊZ_Ax ¤
decls = {fun_decl env (ÊFormal_Fun)} ∧
preds = {z_forall_opt(map (z_var_decl env) globals,
z_forall_opt(map z_par_decl formal_pars,
z_imp(Pre, post)))} | ZAX | trans_formal_fun | daz | src/daz/dtd507.doc | [] | [
"fun_decl",
"z_forall_opt",
"z_par_decl",
"z_var_decl"
] | 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.