// RUN: %verify "%s" include "../Utils/Seq.dfy" include "../Errors.dfy" include "../Grammar.dfy" include "../ConcreteSyntax.Spec.dfy" include "../ConcreteSyntax.SpecProperties.dfy" include "../Utils/Parsers.dfy" module {:options "-functionSyntax:4"} JSON.ZeroCopy.Deserializer { module Core { import opened BoundedInts import opened Wrappers import ConcreteSyntax.Spec import Vs = Utils.Views.Core import opened Utils.Cursors import opened Utils.Parsers import opened Grammar import Errors import opened Seq = Utils.Seq type JSONError = Errors.DeserializationError type Error = CursorError type ParseResult<+T> = SplitResult type Parser = Parsers.Parser type SubParser = Parsers.SubParser // BUG(https://github.com/dafny-lang/dafny/issues/2179) const SpecView := (v: Vs.View) => Spec.View(v) function {:opaque} Get(cs: FreshCursor, err: JSONError): (pr: ParseResult) ensures pr.Success? ==> pr.value.StrictlySplitFrom?(cs, SpecView) { var cs :- cs.Get(err); Success(cs.Split()) } function {:opaque} WS(cs: FreshCursor): (sp: Split) ensures sp.SplitFrom?(cs, SpecView) ensures sp.cs.SuffixOf?(cs) ensures !cs.BOF? ==> sp.cs.StrictSuffixOf?(cs) ensures cs.EOF? ==> sp.cs.SuffixOf?(cs.Suffix()) { cs.SkipWhile(Blank?).Split() } by method { reveal WS(); var point' := cs.point; var end := cs.end; while point' < end && Blank?(cs.s[point']) invariant cs.(point := point').Valid? invariant cs.(point := point').SkipWhile(Blank?) == cs.SkipWhile(Blank?) { point' := point' + 1; } return Cursor(cs.s, cs.beg, point', cs.end).Split(); } function {:opaque} {:vcs_split_on_every_assert} Structural(cs: FreshCursor, parser: Parser) : (pr: ParseResult>) requires forall cs :: parser.fn.requires(cs) ensures pr.Success? ==> pr.value.StrictlySplitFrom?(cs, st => Spec.Structural(st, parser.spec)) { var SP(before, cs) := WS(cs); var SP(val, cs) :- parser.fn(cs); var SP(after, cs) := WS(cs); Success(SP(Grammar.Structural(before, val, after), cs)) } type jopt = v: Vs.View | v.Length() <= 1 witness Vs.View.OfBytes([]) function TryStructural(cs: FreshCursor) : (sp: Split>) ensures sp.SplitFrom?(cs, st => Spec.Structural(st, SpecView)) { var SP(before, cs) := WS(cs); var SP(val, cs) := cs.SkipByte().Split(); var SP(after, cs) := WS(cs); SP(Grammar.Structural(before, val, after), cs) } ghost predicate ValueParserValid(sp: SubParser) { forall t :: sp.spec(t) == Spec.Value(t) } type ValueParser = sp: SubParser | ValueParserValid(sp) witness * } type Error = Core.Error abstract module SequenceParams { import opened BoundedInts import opened Grammar import opened Utils.Cursors import opened Core const OPEN: byte const CLOSE: byte type TElement ghost function ElementSpec(t: TElement): bytes function Element(cs: FreshCursor, json: ValueParser) : (pr: ParseResult) requires cs.StrictlySplitFrom?(json.cs) decreases cs.Length() ensures pr.Success? ==> pr.value.StrictlySplitFrom?(cs, ElementSpec) } abstract module Sequences { import opened Wrappers import opened BoundedInts import opened Params: SequenceParams import ConcreteSyntax.SpecProperties import opened Vs = Utils.Views.Core import opened Grammar import opened Utils.Cursors import Utils.Parsers import opened Core const SEPARATOR: byte := ',' as byte type jopen = v: Vs.View | v.Byte?(OPEN) witness Vs.View.OfBytes([OPEN]) type jclose = v: Vs.View | v.Byte?(CLOSE) witness Vs.View.OfBytes([CLOSE]) type TBracketed = Bracketed type TSuffixedElement = Suffixed const SpecViewClose: jclose -> bytes := SpecView const SpecViewOpen: jopen -> bytes := SpecView ghost function SuffixedElementSpec(e: TSuffixedElement): bytes { ElementSpec(e.t) + Spec.CommaSuffix(e.suffix) } ghost function BracketedSpec(ts: TBracketed): bytes { Spec.Bracketed(ts, SuffixedElementSpec) } ghost function SuffixedElementsSpec(ts: seq): bytes { Spec.ConcatBytes(ts, SuffixedElementSpec) } function {:opaque} Open(cs: FreshCursor) : (pr: ParseResult) ensures pr.Success? ==> pr.value.StrictlySplitFrom?(cs, SpecViewOpen) { var cs :- cs.AssertByte(OPEN); Success(cs.Split()) } function {:opaque} Close(cs: FreshCursor) : (pr: ParseResult) ensures pr.Success? ==> pr.value.StrictlySplitFrom?(cs, SpecViewClose) { var cs :- cs.AssertByte(CLOSE); Success(cs.Split()) } function {:opaque} BracketedFromParts(ghost cs: Cursor, open: Split>, elems: Split>, close: Split>) : (sp: Split) requires Grammar.NoTrailingSuffix(elems.t) requires open.StrictlySplitFrom?(cs, c => Spec.Structural(c, SpecView)) requires elems.SplitFrom?(open.cs, SuffixedElementsSpec) requires close.StrictlySplitFrom?(elems.cs, c => Spec.Structural(c, SpecView)) ensures sp.StrictlySplitFrom?(cs, BracketedSpec) { var sp := SP(Grammar.Bracketed(open.t, elems.t, close.t), close.cs); calc { cs.Bytes(); Spec.Structural(open.t, SpecView) + open.cs.Bytes(); { assert open.cs.Bytes() == SuffixedElementsSpec(elems.t) + elems.cs.Bytes(); } Spec.Structural(open.t, SpecView) + (SuffixedElementsSpec(elems.t) + elems.cs.Bytes()); { Seq.Assoc'(Spec.Structural(open.t, SpecView), SuffixedElementsSpec(elems.t), elems.cs.Bytes()); } Spec.Structural(open.t, SpecView) + SuffixedElementsSpec(elems.t) + elems.cs.Bytes(); { assert elems.cs.Bytes() == Spec.Structural(close.t, SpecView) + close.cs.Bytes(); } Spec.Structural(open.t, SpecView) + SuffixedElementsSpec(elems.t) + (Spec.Structural(close.t, SpecView) + close.cs.Bytes()); { Seq.Assoc'(Spec.Structural(open.t, SpecView) + SuffixedElementsSpec(elems.t), Spec.Structural(close.t, SpecView), close.cs.Bytes()); } Spec.Structural(open.t, SpecView) + SuffixedElementsSpec(elems.t) + Spec.Structural(close.t, SpecView) + close.cs.Bytes(); Spec.Bracketed(sp.t, SuffixedElementSpec) + close.cs.Bytes(); } assert sp.StrictlySplitFrom?(cs, BracketedSpec); sp } function {:opaque} AppendWithSuffix(ghost cs0: FreshCursor, ghost json: ValueParser, elems: Split>, elem: Split, sep: Split>) : (elems': Split>) requires elems.cs.StrictlySplitFrom?(json.cs) requires elems.SplitFrom?(cs0, SuffixedElementsSpec) requires elem.StrictlySplitFrom?(elems.cs, ElementSpec) requires sep.StrictlySplitFrom?(elem.cs, c => Spec.Structural(c, SpecView)) requires forall e | e in elems.t :: e.suffix.NonEmpty? ensures elems'.StrictlySplitFrom?(cs0, SuffixedElementsSpec) ensures forall e | e in elems'.t :: e.suffix.NonEmpty? ensures elems'.cs.Length() < elems.cs.Length() ensures elems'.cs.StrictlySplitFrom?(json.cs) ensures elems'.SplitFrom?(cs0, SuffixedElementsSpec) { var suffixed := Suffixed(elem.t, NonEmpty(sep.t)); var elems' := SP(elems.t + [suffixed], sep.cs); // DISCUSS: Moving this down doubles the verification time assert cs0.Bytes() == SuffixedElementsSpec(elems'.t) + sep.cs.Bytes() by { assert {:focus} cs0.Bytes() == SuffixedElementsSpec(elems.t) + (ElementSpec(suffixed.t) + Spec.CommaSuffix(suffixed.suffix)) + sep.cs.Bytes() by { assert cs0.Bytes() == SuffixedElementsSpec(elems.t) + ElementSpec(suffixed.t) + Spec.CommaSuffix(suffixed.suffix) + sep.cs.Bytes() by { assert cs0.Bytes() == SuffixedElementsSpec(elems.t) + elems.cs.Bytes(); assert elems.cs.Bytes() == ElementSpec(suffixed.t) + elem.cs.Bytes(); assert elem.cs.Bytes() == Spec.CommaSuffix(suffixed.suffix) + sep.cs.Bytes(); Seq.Assoc'(SuffixedElementsSpec(elems.t), ElementSpec(suffixed.t), elem.cs.Bytes()); Seq.Assoc'(SuffixedElementsSpec(elems.t) + ElementSpec(suffixed.t), Spec.CommaSuffix(suffixed.suffix), sep.cs.Bytes()); } Seq.Assoc(SuffixedElementsSpec(elems.t), ElementSpec(suffixed.t), Spec.CommaSuffix(suffixed.suffix)); } assert SuffixedElementsSpec(elems.t) + (ElementSpec(suffixed.t) + Spec.CommaSuffix(suffixed.suffix)) + sep.cs.Bytes() == SuffixedElementsSpec(elems'.t) + sep.cs.Bytes() by { assert SuffixedElementsSpec(elems.t) + SuffixedElementSpec(suffixed) == SuffixedElementsSpec(elems.t + [suffixed]) by { SpecProperties.ConcatBytes_Linear(elems.t, [suffixed], SuffixedElementSpec); assert Spec.ConcatBytes(elems.t, SuffixedElementSpec) + Spec.ConcatBytes([suffixed], SuffixedElementSpec) == Spec.ConcatBytes(elems.t + [suffixed], SuffixedElementSpec); } } } assert elems'.StrictlySplitFrom?(cs0, SuffixedElementsSpec); assert forall e | e in elems'.t :: e.suffix.NonEmpty? by { assert elems'.t == elems.t + [suffixed]; } assert {:split_here} elems'.cs.Length() < elems.cs.Length(); assert elems'.SplitFrom?(cs0, SuffixedElementsSpec) by { assert elems'.BytesSplitFrom?(cs0, SuffixedElementsSpec) by { assert elems'.StrictlySplitFrom?(cs0, SuffixedElementsSpec); } assert elems'.cs.SplitFrom?(cs0) by { assert elems'.cs.StrictlySplitFrom?(cs0) by { assert elems'.StrictlySplitFrom?(cs0, SuffixedElementsSpec); } } } elems' } function {:vcs_split_on_every_assert} {:opaque} AppendLast(ghost cs0: FreshCursor, ghost json: ValueParser, elems: Split>, elem: Split, sep: Split>) : (elems': Split>) requires elems.cs.StrictlySplitFrom?(json.cs) requires elems.SplitFrom?(cs0, SuffixedElementsSpec) requires elem.StrictlySplitFrom?(elems.cs, ElementSpec) requires sep.StrictlySplitFrom?(elem.cs, c => Spec.Structural(c, SpecView)) requires forall e | e in elems.t :: e.suffix.NonEmpty? ensures elems'.StrictlySplitFrom?(cs0, SuffixedElementsSpec) ensures NoTrailingSuffix(elems'.t) ensures elems'.cs.Length() < elems.cs.Length() ensures elems'.cs.StrictlySplitFrom?(json.cs) ensures sep.StrictlySplitFrom?(elems'.cs, c => Spec.Structural(c, SpecView)) { var suffixed := Suffixed(elem.t, Empty()); var elems' := SP(elems.t + [suffixed], elem.cs); assert cs0.Bytes() == SuffixedElementsSpec(elems'.t) + elem.cs.Bytes() by { assert cs0.Bytes() == SuffixedElementsSpec(elems.t) + ElementSpec(suffixed.t) + elem.cs.Bytes() by { assert elem.t == suffixed.t; } assert SuffixedElementsSpec(elems.t) + ElementSpec(suffixed.t) + elem.cs.Bytes() == SuffixedElementsSpec(elems'.t) + elem.cs.Bytes() by { assert SuffixedElementsSpec(elems.t) + SuffixedElementSpec(suffixed) == SuffixedElementsSpec(elems.t + [suffixed]) by { SpecProperties.ConcatBytes_Linear(elems.t, [suffixed], SuffixedElementSpec); assert Spec.ConcatBytes(elems.t, SuffixedElementSpec) + Spec.ConcatBytes([suffixed], SuffixedElementSpec) == Spec.ConcatBytes(elems.t + [suffixed], SuffixedElementSpec); } } } assert elems'.StrictlySplitFrom?(cs0, SuffixedElementsSpec); elems' } lemma AboutTryStructural(cs: FreshCursor) ensures var sp := Core.TryStructural(cs); var s0 := sp.t.t.Peek(); && ((!cs.BOF? || !cs.EOF?) && (s0 == SEPARATOR as opt_byte) ==> (var sp: Split> := sp; sp.cs.StrictSuffixOf?(cs))) && ((s0 == SEPARATOR as opt_byte) ==> var sp: Split> := sp; sp.SplitFrom?(cs, st => Spec.Structural(st, SpecView))) && ((!cs.BOF? || !cs.EOF?) && (s0 == CLOSE as opt_byte) ==> (var sp: Split> := sp; sp.cs.StrictSuffixOf?(cs))) && ((s0 == CLOSE as opt_byte) ==> var sp: Split> := sp; sp.SplitFrom?(cs, st => Spec.Structural(st, SpecView))) {} lemma {:vcs_split_on_every_assert} AboutLists(xs: seq, i: uint32) requires 0 <= (i as int) < |xs| ensures xs[(i as int)..(i as int)+1] == [xs[i as int]] {} // The implementation and proof of this function is more painful than // expected due to the tail recursion. function {:vcs_split_on_every_assert} {:opaque} {:tailrecursion} Elements( ghost cs0: FreshCursor, json: ValueParser, open: Split>, elems: Split> ) // DISCUSS: Why is this function reverified once per instantiation of the module? : (pr: ParseResult) requires open.StrictlySplitFrom?(cs0, c => Spec.Structural(c, SpecView)) requires elems.cs.StrictlySplitFrom?(json.cs) requires elems.SplitFrom?(open.cs, SuffixedElementsSpec) requires forall e | e in elems.t :: e.suffix.NonEmpty? decreases elems.cs.Length() ensures pr.Success? ==> pr.value.StrictlySplitFrom?(cs0, BracketedSpec) { var elem :- Element(elems.cs, json); if elem.cs.EOF? then Failure(EOF) else AboutTryStructural(elem.cs); var sep := Core.TryStructural(elem.cs); var s0 := sep.t.t.Peek(); if s0 == SEPARATOR as opt_byte && sep.t.t.Length() == 1 then assert sep.t.t.Char?(',') by { calc { sep.t.t.Char?(','); sep.t.t.Byte?(',' as byte); sep.t.t.Byte?(SEPARATOR); sep.t.t.Bytes() == [SEPARATOR]; sep.t.t.s[(sep.t.t.beg as int)..(sep.t.t.end as int)] == [SEPARATOR]; { assert (sep.t.t.beg as int) + 1 == (sep.t.t.end as int) by { assert sep.t.t.Length() == 1; } } sep.t.t.s[(sep.t.t.beg as int)..(sep.t.t.beg as int) + 1] == [SEPARATOR]; { assert sep.t.t.s[(sep.t.t.beg as int)..(sep.t.t.beg as int) + 1] == [sep.t.t.s[sep.t.t.beg as int]] by { AboutLists(sep.t.t.s, sep.t.t.beg); } } [sep.t.t.s[sep.t.t.beg as int]] == [SEPARATOR]; sep.t.t.s[sep.t.t.beg as int] as opt_byte == SEPARATOR as opt_byte; sep.t.t.At(0) as opt_byte == SEPARATOR as opt_byte; (s0 == SEPARATOR as opt_byte); true; } } var sep: Split> := sep; assert AppendWithSuffix.requires(open.cs, json, elems, elem, sep) by { assert {:focus} elems.cs.StrictlySplitFrom?(json.cs); assert elems.SplitFrom?(open.cs, SuffixedElementsSpec); assert elem.StrictlySplitFrom?(elems.cs, ElementSpec); assert sep.StrictlySplitFrom?(elem.cs, c => Spec.Structural(c, SpecView)) by { assert sep.BytesSplitFrom?(elem.cs, c => Spec.Structural(c, SpecView)) by { assert sep.SplitFrom?(elem.cs, c => Spec.Structural(c, SpecView)); } assert sep.cs.StrictlySplitFrom?(elem.cs) by { assert sep.cs.BOF?; assert sep.cs.StrictSuffixOf?(elem.cs) by { assert !elem.cs.EOF?; } } } assert forall e | e in elems.t :: e.suffix.NonEmpty?; assert {:split_here} true; } var elems := AppendWithSuffix(open.cs, json, elems, elem, sep); Elements(cs0, json, open, elems) else if s0 == CLOSE as opt_byte && sep.t.t.Length() == 1 then assert sep.t.t.Byte?(CLOSE) by { calc { sep.t.t.Byte?(CLOSE); sep.t.t.Bytes() == [CLOSE]; sep.t.t.s[(sep.t.t.beg as int)..(sep.t.t.end as int)] == [CLOSE]; { assert (sep.t.t.beg as int) + 1 == (sep.t.t.end as int) by { assert sep.t.t.Length() == 1; } } sep.t.t.s[(sep.t.t.beg as int)..(sep.t.t.beg as int) + 1] == [CLOSE]; { assert sep.t.t.s[(sep.t.t.beg as int)..(sep.t.t.beg as int) + 1] == [sep.t.t.s[sep.t.t.beg as int]] by { AboutLists(sep.t.t.s, sep.t.t.beg); } } [sep.t.t.s[sep.t.t.beg as int]] == [CLOSE]; sep.t.t.s[sep.t.t.beg as int] as opt_byte == CLOSE as opt_byte; sep.t.t.At(0) as opt_byte == CLOSE as opt_byte; (s0 == CLOSE as opt_byte); true; } } var sep: Split> := sep; assert AppendLast.requires(open.cs, json, elems, elem, sep) by { assert elems.cs.StrictlySplitFrom?(json.cs); assert elems.SplitFrom?(open.cs, SuffixedElementsSpec); assert elem.StrictlySplitFrom?(elems.cs, ElementSpec); assert sep.StrictlySplitFrom?(elem.cs, c => Spec.Structural(c, SpecView)) by { assert sep.BytesSplitFrom?(elem.cs, c => Spec.Structural(c, SpecView)) by { assert sep.SplitFrom?(elem.cs, c => Spec.Structural(c, SpecView)); } assert sep.cs.StrictlySplitFrom?(elem.cs) by { assert sep.cs.BOF?; assert sep.cs.StrictSuffixOf?(elem.cs) by { assert !elem.cs.EOF?; } } } assert forall e | e in elems.t :: e.suffix.NonEmpty?; } var elems' := AppendLast(open.cs, json, elems, elem, sep); assert elems'.SplitFrom?(open.cs, SuffixedElementsSpec) by { assert elems'.StrictlySplitFrom?(open.cs, SuffixedElementsSpec); } var bracketed := BracketedFromParts(cs0, open, elems', sep); assert bracketed.StrictlySplitFrom?(cs0, BracketedSpec); Success(bracketed) else var separator := SEPARATOR; var pr := Failure(ExpectingAnyByte([CLOSE, separator], s0)); pr } lemma AboutCloseParser() ensures Parsers.Parser(Close, SpecViewClose).Valid?() { assert Parsers.Parser(Close, SpecViewClose).Valid?() by { forall cs': FreshCursor ensures Close(cs').Success? ==> Close(cs').value.StrictlySplitFrom?(cs', SpecViewClose) { if Close(cs').Success? { assert Close(cs').value.StrictlySplitFrom?(cs', SpecViewClose) by { assert Close(cs').Success? ==> Close(cs').value.StrictlySplitFrom?(cs', SpecViewClose); } } } } } function {:vcs_split_on_every_assert} {:opaque} Bracketed(cs: FreshCursor, json: ValueParser) : (pr: ParseResult) requires cs.SplitFrom?(json.cs) ensures pr.Success? ==> pr.value.StrictlySplitFrom?(cs, BracketedSpec) { var open :- Core.Structural(cs, Parsers.Parser(Open, SpecViewOpen)); assert open.cs.StrictlySplitFrom?(json.cs); var elems := SP([], open.cs); if open.cs.Peek() == CLOSE as opt_byte then var p := Parsers.Parser(Close, SpecViewClose); assert p.Valid?() by { AboutCloseParser(); } var close :- Core.Structural(open.cs, p); Success(BracketedFromParts(cs, open, elems, close)) else Elements(cs, json, open, elems) } lemma Valid(x: TBracketed) ensures x.l.t.Byte?(OPEN) ensures x.r.t.Byte?(CLOSE) ensures NoTrailingSuffix(x.data) ensures forall pf | pf in x.data :: pf.suffix.NonEmpty? ==> pf.suffix.t.t.Byte?(SEPARATOR) { // DISCUSS: Why is this lemma needed? Why does it require a body? var xlt: jopen := x.l.t; var xrt: jclose := x.r.t; forall pf | pf in x.data ensures pf.suffix.NonEmpty? ==> pf.suffix.t.t.Byte?(SEPARATOR) { if pf.suffix.NonEmpty? { var xtt := pf.suffix.t.t; } } } } module API { import opened BoundedInts import opened Wrappers import opened Vs = Utils.Views.Core import opened Grammar import opened Core import opened Errors import Utils.Cursors import Values function LiftCursorError(err: Cursors.CursorError): DeserializationError { match err case EOF => ReachedEOF case ExpectingByte(expected, b) => ExpectingByte(expected, b) case ExpectingAnyByte(expected_sq, b) => ExpectingAnyByte(expected_sq, b) case OtherError(err) => err } function {:vcs_split_on_every_assert} {:opaque} JSON(cs: Cursors.FreshCursor) : (pr: DeserializationResult>) ensures pr.Success? ==> pr.value.StrictlySplitFrom?(cs, Spec.JSON) { Core.Structural(cs, Parsers.Parser(Values.Value, Spec.Value)).MapFailure(LiftCursorError) } function {:opaque} Text(v: View) : (jsr: DeserializationResult) ensures jsr.Success? ==> v.Bytes() == Spec.JSON(jsr.value) { var SP(text, cs) :- JSON(Cursors.Cursor.OfView(v)); assert Cursors.SP(text, cs).BytesSplitFrom?(Cursors.Cursor.OfView(v), Spec.JSON); assert v.Bytes() == Spec.JSON(text) + cs.Bytes(); :- Need(cs.EOF?, Errors.ExpectingEOF); assert cs.Bytes() == []; Success(text) } function {:opaque} OfBytes(bs: bytes) : (jsr: DeserializationResult) ensures jsr.Success? ==> bs == Spec.JSON(jsr.value) { :- Need(|bs| < TWO_TO_THE_32, Errors.IntOverflow); Text(Vs.View.OfBytes(bs)) } } module Values { import opened BoundedInts import opened Wrappers import opened Grammar import opened Utils.Cursors import opened Core import Strings import Numbers import Objects import Arrays import Constants import ConcreteSyntax.SpecProperties function {:vcs_split_on_every_assert} {:opaque} Value(cs: FreshCursor) : (pr: ParseResult) decreases cs.Length(), 1 ensures pr.Success? ==> pr.value.StrictlySplitFrom?(cs, Spec.Value) { var c := cs.Peek(); if c == '{' as opt_byte then var SP(obj, cs') :- Objects.Object(cs, ValueParser(cs)); var v := Grammar.Object(obj); var sp := SP(v, cs'); assert sp.StrictlySplitFrom?(cs, Spec.Value) by { Spec.UnfoldValueObject(v); assert SP(obj, cs').StrictlySplitFrom?(cs, Spec.Object); } Spec.UnfoldValueObject(v); assert sp.StrictlySplitFrom?(cs, Spec.Value); Success(sp) else if c == '[' as opt_byte then var SP(arr, cs') :- Arrays.Array(cs, ValueParser(cs)); var v := Grammar.Array(arr); var sp := SP(v, cs'); assert sp.StrictlySplitFrom?(cs, Spec.Value) by { assert SP(arr, cs').StrictlySplitFrom?(cs, Spec.Array); Spec.UnfoldValueArray(v); } assert sp.StrictlySplitFrom?(cs, Spec.Value); Success(sp) else if c == '\"' as opt_byte then var SP(str, cs') :- Strings.String(cs); assert (SP(Grammar.String(str), cs')).StrictlySplitFrom?(cs, Spec.Value) by { calc { (SP(Grammar.String(str), cs')).StrictlySplitFrom?(cs, Spec.Value); cs'.StrictlySplitFrom?(cs) && (SP(Grammar.String(str), cs')).BytesSplitFrom?(cs, Spec.Value); cs'.StrictlySplitFrom?(cs) && (cs.Bytes() == Spec.Value(Grammar.String(str)) + cs'.Bytes()); cs'.StrictlySplitFrom?(cs) && (cs.Bytes() == Spec.String(str) + cs'.Bytes()); cs'.StrictlySplitFrom?(cs) && SP(str, cs').BytesSplitFrom?(cs, Spec.String); SP(str, cs').StrictlySplitFrom?(cs, Spec.String); true; } } Success(SP(Grammar.String(str), cs')) else if c == 't' as opt_byte then var SP(cst, cs') :- Constants.Constant(cs, TRUE); assert (SP(Grammar.Bool(cst), cs')).StrictlySplitFrom?(cs, Spec.Value) by { var f := _ => TRUE; calc { (SP(Grammar.Bool(cst), cs')).StrictlySplitFrom?(cs, Spec.Value); cs'.StrictlySplitFrom?(cs) && (SP(Grammar.Bool(cst), cs')).BytesSplitFrom?(cs, Spec.Value); cs'.StrictlySplitFrom?(cs) && (cs.Bytes() == Spec.Value(Grammar.Bool(cst)) + cs'.Bytes()); cs'.StrictlySplitFrom?(cs) && (cs.Bytes() == Spec.View(cst) + cs'.Bytes()); cs'.StrictlySplitFrom?(cs) && (cs.Bytes() == cst.Bytes() + cs'.Bytes()); cs'.StrictlySplitFrom?(cs) && (cs.Bytes() == TRUE + cs'.Bytes()); cs'.StrictlySplitFrom?(cs) && (cs.Bytes() == f(Grammar.Bool(cst)) + cs'.Bytes()); cs'.StrictlySplitFrom?(cs) && (SP(Grammar.Bool(cst), cs')).BytesSplitFrom?(cs, f); { assert cs'.StrictlySplitFrom?(cs) <==> cs'.SplitFrom?(cs) by { assert cs' != cs; } } cs'.SplitFrom?(cs) && (SP(Grammar.Bool(cst), cs')).BytesSplitFrom?(cs, f); (SP(Grammar.Bool(cst), cs')).SplitFrom?(cs, f); true; } } Success(SP(Grammar.Bool(cst), cs')) else if c == 'f' as opt_byte then var SP(cst, cs') :- Constants.Constant(cs, FALSE); assert (SP(Grammar.Bool(cst), cs')).StrictlySplitFrom?(cs, Spec.Value) by { var f := _ => FALSE; calc { (SP(Grammar.Bool(cst), cs')).StrictlySplitFrom?(cs, Spec.Value); cs'.StrictlySplitFrom?(cs) && (SP(Grammar.Bool(cst), cs')).BytesSplitFrom?(cs, Spec.Value); cs'.StrictlySplitFrom?(cs) && (cs.Bytes() == Spec.Value(Grammar.Bool(cst)) + cs'.Bytes()); cs'.StrictlySplitFrom?(cs) && (cs.Bytes() == Spec.View(cst) + cs'.Bytes()); cs'.StrictlySplitFrom?(cs) && (cs.Bytes() == cst.Bytes() + cs'.Bytes()); cs'.StrictlySplitFrom?(cs) && (cs.Bytes() == FALSE + cs'.Bytes()); cs'.StrictlySplitFrom?(cs) && (cs.Bytes() == f(Grammar.Bool(cst)) + cs'.Bytes()); cs'.StrictlySplitFrom?(cs) && (SP(Grammar.Bool(cst), cs')).BytesSplitFrom?(cs, f); { assert cs'.StrictlySplitFrom?(cs) <==> cs'.SplitFrom?(cs) by { assert cs' != cs; } } cs'.SplitFrom?(cs) && (SP(Grammar.Bool(cst), cs')).BytesSplitFrom?(cs, f); (SP(Grammar.Bool(cst), cs')).SplitFrom?(cs, f); true; } } Success(SP(Grammar.Bool(cst), cs')) else if c == 'n' as opt_byte then var SP(cst, cs') :- Constants.Constant(cs, NULL); assert (SP(Grammar.Null(cst), cs')).StrictlySplitFrom?(cs, Spec.Value) by { var f := _ => NULL; calc { (SP(Grammar.Null(cst), cs')).StrictlySplitFrom?(cs, Spec.Value); cs'.StrictlySplitFrom?(cs) && (SP(Grammar.Null(cst), cs')).BytesSplitFrom?(cs, Spec.Value); cs'.StrictlySplitFrom?(cs) && (cs.Bytes() == Spec.Value(Grammar.Null(cst)) + cs'.Bytes()); cs'.StrictlySplitFrom?(cs) && (cs.Bytes() == Spec.View(cst) + cs'.Bytes()); cs'.StrictlySplitFrom?(cs) && (cs.Bytes() == cst.Bytes() + cs'.Bytes()); cs'.StrictlySplitFrom?(cs) && (cs.Bytes() == NULL + cs'.Bytes()); cs'.StrictlySplitFrom?(cs) && (cs.Bytes() == f(Grammar.Null(cst)) + cs'.Bytes()); cs'.StrictlySplitFrom?(cs) && (SP(Grammar.Null(cst), cs')).BytesSplitFrom?(cs, f); { assert cs'.StrictlySplitFrom?(cs) <==> cs'.SplitFrom?(cs) by { assert cs' != cs; } } cs'.SplitFrom?(cs) && (SP(Grammar.Null(cst), cs')).BytesSplitFrom?(cs, f); (SP(Grammar.Null(cst), cs')).SplitFrom?(cs, f); true; } } Success(SP(Grammar.Null(cst), cs')) else var SP(num, cs') :- Numbers.Number(cs); var v := Grammar.Number(num); var sp := SP(v, cs'); assert sp.StrictlySplitFrom?(cs, Spec.Value) by { assert SP(num, cs').StrictlySplitFrom?(cs, Spec.Number); Spec.UnfoldValueNumber(v); } assert sp.StrictlySplitFrom?(cs, Spec.Value); Success(sp) } function {:opaque} ValueParser(cs: FreshCursor) : (p: ValueParser) decreases cs.Length(), 0 ensures cs.SplitFrom?(p.cs) { var pre := (ps': FreshCursor) => ps'.Length() < cs.Length(); var fn := (ps': FreshCursor) requires pre(ps') => Value(ps'); Parsers.SubParser(cs, pre, fn, Spec.Value) } } module Constants { import opened BoundedInts import opened Wrappers import opened Grammar import opened Core import opened Utils.Cursors function {:opaque} Constant(cs: FreshCursor, expected: bytes) : (pr: ParseResult) requires |expected| < TWO_TO_THE_32 ensures pr.Success? ==> pr.value.t.Bytes() == expected ensures pr.Success? ==> pr.value.SplitFrom?(cs, _ => expected) { var cs :- cs.AssertBytes(expected); Success(cs.Split()) } } module Strings { import opened Wrappers import opened BoundedInts import opened Grammar import opened Utils.Cursors import opened LC = Utils.Lexers.Core import opened Utils.Lexers.Strings import opened Utils.Parsers import opened Core function {:opaque} StringBody(cs: Cursor): (pr: CursorResult) ensures pr.Success? ==> pr.value.AdvancedFrom?(cs) { cs.SkipWhileLexer(Strings.StringBody, StringBodyLexerStart) } by method { reveal StringBody(); var escaped := false; for point' := cs.point to cs.end invariant cs.(point := point').Valid? invariant cs.(point := point').SkipWhileLexer(Strings.StringBody, escaped) == StringBody(cs) { var byte := cs.s[point']; if byte == '\"' as byte && !escaped { return Success(Cursor(cs.s, cs.beg, point', cs.end)); } else if byte == '\\' as byte { escaped := !escaped; } else { escaped := false; } } return Failure(EOF); } function Quote(cs: FreshCursor) : (pr: ParseResult) ensures pr.Success? ==> pr.value.StrictlySplitFrom?(cs, SpecView) { var cs :- cs.AssertChar('\"'); Success(cs.Split()) } function {:opaque} String(cs: FreshCursor): (pr: ParseResult) ensures pr.Success? ==> pr.value.StrictlySplitFrom?(cs, Spec.String) { var SP(lq, cs) :- Quote(cs); var contents :- StringBody(cs); var SP(contents, cs) := contents.Split(); var SP(rq, cs) :- Quote(cs); Success(SP(Grammar.JString(lq, contents, rq), cs)) } } module Numbers { import opened BoundedInts import opened Wrappers import opened Grammar import opened Utils.Cursors import opened Core function {:opaque} Digits(cs: FreshCursor) : (sp: Split) ensures sp.SplitFrom?(cs, SpecView) { cs.SkipWhile(Digit?).Split() } function {:opaque} NonEmptyDigits(cs: FreshCursor) : (pr: ParseResult) ensures pr.Success? ==> pr.value.StrictlySplitFrom?(cs, SpecView) { var sp := Digits(cs); :- Need(!sp.t.Empty?, OtherError(Errors.EmptyNumber)); Success(sp) } function {:opaque} NonZeroInt(cs: FreshCursor) : (pr: ParseResult) requires cs.Peek() != '0' as opt_byte ensures pr.Success? ==> pr.value.StrictlySplitFrom?(cs, SpecView) { NonEmptyDigits(cs) } function {:opaque} OptionalMinus(cs: FreshCursor) : (sp: Split) ensures sp.SplitFrom?(cs, SpecView) { cs.SkipIf(c => c == '-' as byte).Split() } function {:opaque} OptionalSign(cs: FreshCursor) : (sp: Split) ensures sp.SplitFrom?(cs, SpecView) { cs.SkipIf(c => c == '-' as byte || c == '+' as byte).Split() } function {:opaque} TrimmedInt(cs: FreshCursor) : (pr: ParseResult) ensures pr.Success? ==> pr.value.StrictlySplitFrom?(cs, SpecView) { var sp := cs.SkipIf(c => c == '0' as byte).Split(); if sp.t.Empty? then NonZeroInt(sp.cs) else Success(sp) } function {:opaque} {:vcs_split_on_every_assert} Exp(cs: FreshCursor) : (pr: ParseResult>) ensures pr.Success? ==> pr.value.SplitFrom?(cs, exp => Spec.Maybe(exp, Spec.Exp)) { var SP(e, cs) := cs.SkipIf(c => c == 'e' as byte || c == 'E' as byte).Split(); if e.Empty? then Success(SP(Empty(), cs)) else assert e.Char?('e') || e.Char?('E'); var SP(sign, cs) := OptionalSign(cs); var SP(num, cs) :- NonEmptyDigits(cs); Success(SP(NonEmpty(JExp(e, sign, num)), cs)) } function {:opaque} Frac(cs: FreshCursor) : (pr: ParseResult>) ensures pr.Success? ==> pr.value.SplitFrom?(cs, frac => Spec.Maybe(frac, Spec.Frac)) { var SP(period, cs) := cs.SkipIf(c => c == '.' as byte).Split(); if period.Empty? then Success(SP(Empty(), cs)) else var SP(num, cs) :- NonEmptyDigits(cs); Success(SP(NonEmpty(JFrac(period, num)), cs)) } function {:opaque} NumberFromParts( ghost cs: Cursor, minus: Split, num: Split, frac: Split>, exp: Split> ) : (sp: Split) requires minus.SplitFrom?(cs, SpecView) requires num.StrictlySplitFrom?(minus.cs, SpecView) requires frac.SplitFrom?(num.cs, frac => Spec.Maybe(frac, Spec.Frac)) requires exp.SplitFrom?(frac.cs, exp => Spec.Maybe(exp, Spec.Exp)) ensures sp.StrictlySplitFrom?(cs, Spec.Number) { var sp := SP(Grammar.JNumber(minus.t, num.t, frac.t, exp.t), exp.cs); assert cs.Bytes() == Spec.Number(sp.t) + exp.cs.Bytes() by { assert cs.Bytes() == Spec.View(minus.t) + Spec.View(num.t) + Spec.Maybe(frac.t, Spec.Frac) + Spec.Maybe(exp.t, Spec.Exp) + exp.cs.Bytes() by { assert cs.Bytes() == Spec.View(minus.t) + minus.cs.Bytes(); assert minus.cs.Bytes() == Spec.View(num.t) + num.cs.Bytes(); assert num.cs.Bytes() == Spec.Maybe(frac.t, Spec.Frac) + frac.cs.Bytes(); assert frac.cs.Bytes() == Spec.Maybe(exp.t, Spec.Exp) + exp.cs.Bytes(); Seq.Assoc'(Spec.View(minus.t), Spec.View(num.t), num.cs.Bytes()); Seq.Assoc'(Spec.View(minus.t) + Spec.View(num.t), Spec.Maybe(frac.t, Spec.Frac), frac.cs.Bytes()); Seq.Assoc'(Spec.View(minus.t) + Spec.View(num.t) + Spec.Maybe(frac.t, Spec.Frac), Spec.Maybe(exp.t, Spec.Exp), exp.cs.Bytes()); } } assert sp.StrictlySplitFrom?(cs, Spec.Number); sp } function {:opaque} Number(cs: FreshCursor) : (pr: ParseResult) ensures pr.Success? ==> pr.value.StrictlySplitFrom?(cs, Spec.Number) { var minus := OptionalMinus(cs); var num :- TrimmedInt(minus.cs); var frac :- Frac(num.cs); var exp :- Exp(frac.cs); Success(NumberFromParts(cs, minus, num, frac, exp)) } } module ArrayParams refines SequenceParams { import opened Strings import opened Wrappers type TElement = Value const OPEN := '[' as byte const CLOSE := ']' as byte function ElementSpec(t: TElement) : bytes { Spec.Value(t) } function {:opaque} Element(cs: FreshCursor, json: ValueParser) : (pr: ParseResult) { json.fn(cs) } } module Arrays refines Sequences { import opened Params = ArrayParams lemma {:vcs_split_on_every_assert} BracketedToArray(arr: jarray) ensures Spec.Bracketed(arr, SuffixedElementSpec) == Spec.Array(arr) { var rItem := (d: jitem) requires d < arr => Spec.Item(d); assert Spec.Bracketed(arr, SuffixedElementSpec) == Spec.Bracketed(arr, rItem) by { assert SpecProperties.Bracketed_Morphism_Requires(arr, SuffixedElementSpec, rItem); SpecProperties.Bracketed_Morphism(arr, SuffixedElementSpec, rItem); } calc { Spec.Bracketed(arr, SuffixedElementSpec); Spec.Bracketed(arr, rItem); Spec.Array(arr); } } function {:vcs_split_on_every_assert} {:opaque} Array(cs: FreshCursor, json: ValueParser) : (pr: ParseResult) requires cs.SplitFrom?(json.cs) ensures pr.Success? ==> pr.value.StrictlySplitFrom?(cs, Spec.Array) { var sp :- Bracketed(cs, json); assert sp.StrictlySplitFrom?(cs, BracketedSpec); BracketedToArray(sp.t); Success(sp) } } module ObjectParams refines SequenceParams { import opened Wrappers import Strings type TElement = jKeyValue const OPEN := '{' as byte const CLOSE := '}' as byte function Colon(cs: FreshCursor) : (pr: ParseResult) // DISCUSS: Why can't I make this opaque? ensures pr.Success? ==> pr.value.StrictlySplitFrom?(cs, SpecView) { var cs :- cs.AssertChar(':'); Success(cs.Split()) } function {:opaque} KeyValueFromParts(ghost cs: Cursor, k: Split, colon: Split>, v: Split) : (sp: Split) requires k.StrictlySplitFrom?(cs, Spec.String) requires colon.StrictlySplitFrom?(k.cs, c => Spec.Structural(c, SpecView)) requires v.StrictlySplitFrom?(colon.cs, Spec.Value) ensures sp.StrictlySplitFrom?(cs, ElementSpec) { var sp := SP(Grammar.KeyValue(k.t, colon.t, v.t), v.cs); assert cs.Bytes() == Spec.KeyValue(sp.t) + v.cs.Bytes() by { assert cs.Bytes() == Spec.String(k.t) + Spec.Structural(colon.t, SpecView) + Spec.Value(v.t) + v.cs.Bytes() by { assert cs.Bytes() == Spec.String(k.t) + k.cs.Bytes(); assert k.cs.Bytes() == Spec.Structural(colon.t, SpecView) + colon.cs.Bytes(); assert colon.cs.Bytes() == Spec.Value(v.t) + v.cs.Bytes(); Seq.Assoc'(Spec.String(k.t), Spec.Structural(colon.t, SpecView), colon.cs.Bytes()); Seq.Assoc'(Spec.String(k.t) + Spec.Structural(colon.t, SpecView), Spec.Value(v.t), v.cs.Bytes()); } } assert sp.StrictlySplitFrom?(cs, ElementSpec); sp } function ElementSpec(t: TElement) : bytes { Spec.KeyValue(t) } function {:vcs_split_on_every_assert} {:opaque} Element(cs: FreshCursor, json: ValueParser) : (pr: ParseResult) { var k :- Strings.String(cs); assert k.cs.StrictlySplitFrom?(json.cs); assert k.StrictlySplitFrom?(cs, Spec.String); var p := Parsers.Parser(Colon, SpecView); assert p.Valid?(); var colon :- Core.Structural(k.cs, p); assert colon.StrictlySplitFrom?(k.cs, st => Spec.Structural(st, SpecView)); assert colon.cs.StrictlySplitFrom?(json.cs); assert json.fn.requires(colon.cs) by { assert json.pre(colon.cs) by { assert colon.cs.StrictlySplitFrom?(json.cs); assert json.Valid?(); } assert json.Valid?(); } var v :- json.fn(colon.cs); assert v.StrictlySplitFrom?(colon.cs, Spec.Value) by { assert v.cs.StrictlySplitFrom?(colon.cs) by { assert v.StrictlySplitFrom?(colon.cs, json.spec) by { assert json.Valid?(); } } assert v.BytesSplitFrom?(colon.cs, Spec.Value) by { calc { colon.cs.Bytes(); { assert v.BytesSplitFrom?(colon.cs, json.spec) by { assert json.Valid?(); } } json.spec(v.t) + v.cs.Bytes(); { assert json.spec(v.t) == Spec.Value(v.t) by { assert ValueParserValid(json); } } Spec.Value(v.t) + v.cs.Bytes(); } } } var kv := KeyValueFromParts(cs, k, colon, v); Success(kv) } } module Objects refines Sequences { import opened Params = ObjectParams lemma {:vcs_split_on_every_assert} BracketedToObject(obj: jobject) ensures Spec.Bracketed(obj, SuffixedElementSpec) == Spec.Object(obj) { var rMember := (d: jmember) requires d < obj => Spec.Member(d); assert Spec.Bracketed(obj, SuffixedElementSpec) == Spec.Bracketed(obj, rMember) by { assert Spec.Bracketed(obj, SuffixedElementSpec) == Spec.Bracketed(obj, rMember) by { assert SpecProperties.Bracketed_Morphism_Requires(obj, SuffixedElementSpec, rMember); SpecProperties.Bracketed_Morphism(obj, SuffixedElementSpec, rMember); } } calc { Spec.Bracketed(obj, SuffixedElementSpec); Spec.Bracketed(obj, rMember); Spec.Object(obj); } } function {:vcs_split_on_every_assert} {:opaque} Object(cs: FreshCursor, json: ValueParser) : (pr: ParseResult) requires cs.SplitFrom?(json.cs) ensures pr.Success? ==> pr.value.StrictlySplitFrom?(cs, Spec.Object) { var sp :- Bracketed(cs, json); assert sp.StrictlySplitFrom?(cs, BracketedSpec); BracketedToObject(sp.t); Success(sp) } } }