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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_PRED‰0 : ℙ Z_PRED
ZAX
Z_PRED‰0
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 Ž 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; s‰1, s‰2, s : ℙ Sequent • vcs (Ê Speclab, st) = vc_local_decls (s, Ê Speclab) ∧ s = s‰1 À s‰2 ∧ ÊResult = wp (st, {š ô post}, Ê Wp_Env) ∧ s‰1 = { Sequent | H ô c WP • ({Pre} À H) ô subs_pred (c, w‰0, w)} ∧ s‰2 ...
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 Ž 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 Ž 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
End of preview. Expand in Data Studio

ProofPower

HOLCONST and schema declarations from ProofPower (HOL and Z). Source uses ProofPower's native character set.

Source

Schema

Column Type Description
statement string Declaration signature/claim with the leading keyword removed (verbatim slice); the full declaration minus its proof
proof string Verbatim proof/body, empty if the declaration has none
type string Declaration keyword
symbolic_name string Declaration identifier
library string Sub-library
filename string Repository-relative source path
imports list[string] File-level Require/Import modules
deps list[string] Intra-corpus identifiers referenced
docstring string Preceding documentation comment, empty if absent
source_url string Upstream repository
commit string Upstream commit extracted

Statistics

  • Entries: 691
  • With proof: 0 (0.0%)
  • With docstring: 0 (0.0%)
  • Libraries: 4

By type

Type Count
HOLCONST 328
Z 178
ZAX 176
HOLLABPROD 7
IZAX 1
schema 1

Example

OPT[X]  |  {A :  ℙ X | x, y: A •  x = y}
  • type: Z | symbolic_name: OPT | src/daz/dtd502.doc

Use

Each declaration is split into a statement (signature/claim) and a proof (body) that are disjoint and together form the complete declaration, for proof modeling, autoformalization, retrieval, and dependency analysis via deps.

Citation

@misc{proofpower_dataset,
  title  = {ProofPower},
  author = {Norton, Charles},
  year   = {2026},
  note   = {Extracted from https://github.com/RobArthan/pp, commit dabebf8fdbde},
  url    = {https://huggingface.co/datasets/phanerozoic/ProofPower}
}
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