def preproof():
while True:
yield (proof_kwd() << shift_eq >> (
lambda pk: choice([
use(suppress()) << shift_eq >> (lambda supp: choice([
intf.locate(kwd('BY')) << times2 >> only() << times2 >>
use(usebody()) << times >> read_method() << apply >>
(lambda args: tla_ast.PreBy(supp, args[0][0][1], args[0][
1], args[1])),
intf.locate(
kwd('OBVIOUS') << second >> read_method() << apply >>
(lambda meth: tla_ast.PreObvious(supp, meth)))
])),
# locate (kwd "OMITTED" <!> (PreOmitted Explicit)) ;
intf.locate(
kwd('OMITTED') << bang >> tla_ast.PreOmitted(tla_ast.
Explicit())),
# locate begin
# preno <**> use prestep
# <$> (fun (pn, stp) ->
# PreStep (pk, pn, stp))
# end ;
intf.locate(preno() << times2 >> use(prestep()) << apply >>
(lambda pn_stp: tla_ast.PreStep(
pk, pn_stp[0], pn_stp[1])))
])))
def f():
# RULE: ('AXIOM' | 'ASSUME' | 'ASSUMPTION')
# [anyident '=='] expr [read_method]
return (
(kwd('AXIOM') << or_ >> kwd('ASSUME') << or_ >>
kwd('ASSUMPTION')) << second_commit >> optional(
intf.locate(intf.anyident() << first >> punct('==') <<
times2 >> use(ep.expr(False)))) << times >>
optional(use(pfp.read_method())) << apply >> apply_axiom)
def f():
return (
(kwd('THEOREM') << or_ >> kwd('PROPOSITION') << or_ >>
kwd('COROLLARY') << or_ >> kwd('LEMMA')) << second_commit >>
optional(intf.locate(intf.anyident() << first >> punct('==')))
<< times >> choice([
use(ep.sequent(False)),
use(ep.expr(False)) << apply >>
(lambda e: nodes.Sequent(list(), e))
]) << times >> optional(use(pfp.method_prs_read_method())) <<
times >> use(pfp.proof()) << apply >> apply_theorem_proof)
def parse_():
def apply_module(nm_exs_mus):
(name, extends), modunits = nm_exs_mus
extends = list() if extends is None else extends
return nodes.Module(name=name,
extendees=extends,
instancees=list(),
body=[i for j in modunits for i in j])
while True:
yield (intf.punct('----') << second_commit >> intf.kwd('MODULE') <<
second_commit >> intf.locate(intf.anyname()) << first >>
intf.punct('----') << times >> optional(
intf.kwd('EXTENDS') << second >> sep1(
intf.punct(','), intf.locate(intf.anyident()))) <<
times2 >> use(modunits()) << first >> intf.punct('====') <<
apply >> apply_module)
def f():
return choice([
# ['CONSTANT' | 'CONSTANTS'] opdecl (',' opdecl)*
kwd('CONSTANT') << or_ >> kwd('CONSTANTS') << second_commit >>
sep1(punct(','), use(ep.opdecl())) << apply >>
(lambda cs: [nodes.Constants(cs)]),
# 'RECURSIVE' opdecl (',' opdecl)*
kwd('RECURSIVE') << second_commit >> sep1(
punct(','), use(ep.opdecl())) << apply >>
(lambda cs: [nodes.Recursives(cs)]),
# ['VARIABLE' | 'VARIABLES'] anyident (',' anyident)*
kwd('VARIABLE') << or_ >> kwd('VARIABLES') << second_commit >>
sep1(punct(','), locate(intf.anyident())) << apply >>
(lambda vs: [nodes.Variables(vs)])
])
def usebody():
# let defs =
# (kwd "DEF" <|> kwd "DEFS")
# >*> sep1 (punct ",") (use definable)
defns = ((kwd('DEF') << or_ >> kwd('DEFS')) << second_commit >> sep1(
punct(','), use(definable())))
# in
# sep (punct ",") (use (expr false)) >>= function
# | [] ->
# defs <$> (fun ds -> { facts = [] ; defs = ds })
# | fs ->
# optional defs <$> begin function
# | None -> {
# facts = List.map filter_usebody_fact fs ;
# defs = [] }
# | Some ds -> {
# facts = List.map filter_usebody_fact fs ;
# defs = ds }
# end
def apply_usebody(fs, ds):
if ds is None:
return dict(facts=[filter_usebody_fact(f) for f in fs],
defs=list())
else:
return dict(facts=[filter_usebody_fact(f) for f in fs], defs=ds)
def shift_usebody(fs):
if fs:
return (optional(defns) << apply >> functools.partial(
apply_usebody, fs))
else:
return defns << apply >> (lambda ds: dict(facts=list(), defs=ds))
while True:
yield sep(punct(','), use(ep.expr(False))) << shift_eq >> shift_usebody
def f():
return (use(pfp.suppress()) << times >>
(kwd('USE') << or_ >> kwd('HIDE')) << times2 >>
pfp.usebody() << apply >> apply_use_hide)
def choices():
# choice [
# choice [
# (kwd "CONSTANT" <|> kwd "CONSTANTS") >*>
# sep1 (punct ",") (use opdecl)
# <$> (fun cs -> [ Constants cs ]) ;
#
# (kwd "RECURSIVE") >*>
# sep1 (punct ",") (use opdecl)
# <$> (fun cs -> [ Recursives cs ]) ;
#
# (kwd "VARIABLE" <|> kwd "VARIABLES") >*>
# sep1 (punct ",") (locate anyident)
# <$> (fun vs -> [ Variables vs ]) ;
# ] ;
# variable and constant declarations, and recursive operators
def f():
return choice([
# ['CONSTANT' | 'CONSTANTS'] opdecl (',' opdecl)*
kwd('CONSTANT') << or_ >> kwd('CONSTANTS') << second_commit >>
sep1(punct(','), use(ep.opdecl())) << apply >>
(lambda cs: [nodes.Constants(cs)]),
# 'RECURSIVE' opdecl (',' opdecl)*
kwd('RECURSIVE') << second_commit >> sep1(
punct(','), use(ep.opdecl())) << apply >>
(lambda cs: [nodes.Recursives(cs)]),
# ['VARIABLE' | 'VARIABLES'] anyident (',' anyident)*
kwd('VARIABLE') << or_ >> kwd('VARIABLES') << second_commit >>
sep1(punct(','), locate(intf.anyident())) << apply >>
(lambda vs: [nodes.Variables(vs)])
])
yield ((tokens.KWD, ), f)
# optional (kwd "LOCAL") >>= begin fun l ->
# let ex = if Option.is_some l then Local else Export in
# choice [
# use (instance false)
# <$> (fun inst -> [ Anoninst (inst, ex) ]) ;
#
# use (defn false)
# <$> (fun df -> [ Definition (df, User, Hidden, ex) ]) ;
# ]
# end ;
yield optional(kwd('LOCAL')) << shift_eq >> apply_def
# use Proof.Parser.suppress
# <*> (kwd "USE" <|> kwd "HIDE")
# <**> use Proof.Parser.usebody
# <$> (fun ((supp, uh), use) -> match uh with
# | "USE" -> [ Mutate (`Use (supp = Proof.Parser.Suppress), use) ]
# | _ -> [ Mutate (`Hide, use) ]) ;
def f():
return (use(pfp.suppress()) << times >>
(kwd('USE') << or_ >> kwd('HIDE')) << times2 >>
pfp.usebody() << apply >> apply_use_hide)
yield ((
tokens.KWD('USE'),
tokens.KWD('HIDE'),
tokens.PUNCT('_'),
tokens.ID('suppress'),
), f)
# (kwd "AXIOM" <|> kwd "ASSUME" <|> kwd "ASSUMPTION") >*>
# optional (locate anyident <<< punct "==") <**> use (expr false)
# <*> optional (use Method_prs.read_method)
# <$> (fun ((nm, e), meth) -> [ Axiom (nm, with_meth e meth) ]) ;
def f():
# RULE: ('AXIOM' | 'ASSUME' | 'ASSUMPTION')
# [anyident '=='] expr [read_method]
return (
(kwd('AXIOM') << or_ >> kwd('ASSUME') << or_ >>
kwd('ASSUMPTION')) << second_commit >> optional(
intf.locate(intf.anyident() << first >> punct('==') <<
times2 >> use(ep.expr(False)))) << times >>
optional(use(pfp.read_method())) << apply >> apply_axiom)
yield ((
tokens.KWD('AXIOM'),
tokens.KWD('ASSUME'),
tokens.KWD('ASSUMPTION'),
), f)
# (kwd "THEOREM" <|> kwd "PROPOSITION" <|>
# kwd "COROLLARY" <|> kwd "LEMMA") >*>
# optional (locate anyident <<< punct "==")
# <*> choice [ use (sequent false) ;
# use (expr false)
# <$> (fun e -> { context = Deque.empty ; active = e }) ]
# <*> optional (use Method_prs.read_method)
# <*> use Proof.Parser.proof
# <$> (fun (((nm, bod), meth), prf) ->
# [ Theorem (nm, {
# bod with active = with_meth bod.active meth },
# 0, prf, prf, empty_summary) ]) ;
def f():
return (
(kwd('THEOREM') << or_ >> kwd('PROPOSITION') << or_ >>
kwd('COROLLARY') << or_ >> kwd('LEMMA')) << second_commit >>
optional(intf.locate(intf.anyident() << first >> punct('==')))
<< times >> choice([
use(ep.sequent(False)),
use(ep.expr(False)) << apply >>
(lambda e: nodes.Sequent(list(), e))
]) << times >> optional(use(pfp.method_prs_read_method())) <<
times >> use(pfp.proof()) << apply >> apply_theorem_proof)
yield ((
tokens.KWD('THEOREM'),
tokens.KWD('PROPOSITION'),
tokens.KWD('COROLLARY'),
tokens.KWD('LEMMA'),
), f)
#
# enabled (punct "----" <*> kwd "MODULE")
# >*> use parse <$> (fun m -> [ Submod m ]) ;
yield (enabled(punct('----') << times >> kwd('MODULE')) <<
second_commit >> use(parse()) << apply >>
(lambda mod: [nodes.Submodule(mod)]))
#
# punct "----" <!> [] ;
yield intf.punct('----') << bang >> list()
def prestep():
while True:
yield choice([
# choice [
# kwd "QED" <!> PreQed ;
kwd('QED') << bang >> tla_ast.PreQed(),
#
# kwd "HIDE"
# >*> use usebody
# <$> (fun use -> PreHide use) ;
kwd('HIDE') << second_commit >> use(usebody()) << apply >>
(lambda use: tla_ast.PreHide(use)),
#
# kwd "SUFFICES"
# >*> use sequent
# <$> (fun sq -> PreSuffices sq) ;
kwd('SUFFICES') << second_commit >> use(sequent()) << apply >>
(lambda sq: tla_ast.PreSuffices(sq)),
#
# kwd "CASE"
# >*> use (expr false)
# <$> (fun e -> PreCase e) ;
kwd('CASE') << second_commit >> use(ep.expr(False)) << apply >>
(lambda e: tla_ast.PreCase(e)),
#
# kwd "PICK"
# >*> use (bounds false)
# <**> (punct ":"
# >>> use (expr false))
# <$> (fun (bs, e) -> PrePick (bs, e)) ;
kwd('PICK') << second_commit >> use(ep.bounds(False)) << times2 >>
(punct(':') << second >> use(ep.expr(False))) << apply >>
(lambda bs_e: tla_ast.PrePick(bs_e[0], bs_e[1])),
#
# use suppress >>= begin fun supp ->
use(suppress()) << shift_eq >> (
lambda supp: choice([
# choice [
# kwd "USE"
# >*> only
# <*> use usebody
# <*> read_method
# <$> (fun ((onl, use), meth) ->
# PreUse (supp, onl, use, meth)) ;
kwd('USE') << second_commit >> only() << times >> use(
usebody()) << times >> read_method() << apply >>
(lambda args: tla_ast.PreUse(supp, args[0][0], args[0][1],
args[1])),
#
# kwd "HAVE"
# >*> use (expr false)
# <*> read_method
# <$> (fun (e, meth) -> PreHave (supp, e, meth)) ;
kwd('HAVE') << second_commit >> use(ep.expr(
False)) << times >> read_method() << apply >>
(lambda e_meth: tla_ast.PreHave(supp, e_meth[0], e_meth[1])
),
#
# kwd "TAKE"
# >*> use (bounds false)
# <*> read_method
# <$> (fun (bs, meth) -> PreTake (supp, bs, meth)) ;
kwd('TAKE') << second_commit >> use(ep.bounds(
False)) << times >> read_method() << apply >>
(lambda bs_meth: tla_ast.PreTake(supp, bs_meth[0], bs_meth[
1])),
#
# kwd "WITNESS"
# >*> sep1 (punct ",") (use (expr false))
# <*> read_method
# <$> (fun (es, meth) -> PreWitness (supp, es, meth)) ;
kwd('WITNESS') << second_commit >> sep1(
punct(','), use(ep.expr(False))
) << times >> read_method() << apply >>
(lambda es_meth: tla_ast.PreWitness(
supp, es_meth[0], es_meth[1]))
# ]
# end ;
])),
#
# attempt (optional (kwd "DEFINE") >>> star1 (use (defn false)))
# <$> (fun dfs -> PreDefine dfs) ;
attempt(
optional(kwd('DEFINE')) << second >> star1(use(ep.defn(False)))
) << apply >> (lambda defns: tla_ast.PreDefine(defns)),
#
# use sequent <$> (fun sq -> PreAssert sq) ;
use(sequent()) << apply >> (lambda sq: tla_ast.PreAssert(sq))
# ]
])
def proof_kwd():
while True:
yield choice([kwd('PROOF') << bang >> True, succeed(False)])
def only():
while True:
yield choice([
kwd('ONLY') << bang >> tla_ast.Only(),
succeed(tla_ast.Default())
])
