Proof Assistant Projects
Collection
Digesting proof assistant libraries for AI ingestion. • 103 items • Updated • 3
Datasets:
statement stringlengths 1 4.4k | proof stringlengths 0 42.3k | type stringclasses 15
values | symbolic_name stringlengths 1 66 | library stringclasses 158
values | filename stringlengths 31 124 | imports listlengths 0 0 | deps listlengths 0 64 | docstring stringclasses 1
value | source_url stringclasses 1
value | commit stringclasses 1
value |
|---|---|---|---|---|---|---|---|---|---|---|
{:compile false} {:termination false} {:extern} IComparable | {} | trait | IComparable | AutoExtern | Source/AutoExtern/CSharpModel.dfy | [] | [] | https://github.com/dafny-lang/dafny | 8bb7795048d9252198380dec49ffac1e933e25ae | |
{:compile false} {:termination false} {:extern} Attribute | {} | trait | Attribute | AutoExtern | Source/AutoExtern/CSharpModel.dfy | [] | [] | https://github.com/dafny-lang/dafny | 8bb7795048d9252198380dec49ffac1e933e25ae | |
{:compile false} {:extern} {:nativeType "int"} int32 =
x: int | -0x8000_0000 <= x < 0x8000_0000 | newtype | int32 | AutoExtern | Source/AutoExtern/CSharpModel.dfy | [] | [] | https://github.com/dafny-lang/dafny | 8bb7795048d9252198380dec49ffac1e933e25ae | ||
{:compile false} {:extern} Func<TArg, TRet> | {} | class | Func | AutoExtern | Source/AutoExtern/CSharpModel.dfy | [] | [] | https://github.com/dafny-lang/dafny | 8bb7795048d9252198380dec49ffac1e933e25ae | |
{:compile false} {:extern} Int32 | {} | class | Int32 | AutoExtern | Source/AutoExtern/CSharpModel.dfy | [] | [] | https://github.com/dafny-lang/dafny | 8bb7795048d9252198380dec49ffac1e933e25ae | |
{:compile false} {:extern} String | {} | class | String | AutoExtern | Source/AutoExtern/CSharpModel.dfy | [] | [] | https://github.com/dafny-lang/dafny | 8bb7795048d9252198380dec49ffac1e933e25ae | |
{:compile false} {:extern} Boolean | {} | class | Boolean | AutoExtern | Source/AutoExtern/CSharpModel.dfy | [] | [] | https://github.com/dafny-lang/dafny | 8bb7795048d9252198380dec49ffac1e933e25ae | |
{:compile false} {:extern} Nullable | {} | class | Nullable | AutoExtern | Source/AutoExtern/CSharpModel.dfy | [] | [] | https://github.com/dafny-lang/dafny | 8bb7795048d9252198380dec49ffac1e933e25ae | |
{:compile false} {:extern} ValueTuple | {} | class | ValueTuple | AutoExtern | Source/AutoExtern/CSharpModel.dfy | [] | [] | https://github.com/dafny-lang/dafny | 8bb7795048d9252198380dec49ffac1e933e25ae | |
{:compile false} {:extern "Tuple"} Tuple2<T1, T2> | {} | class | Tuple2 | AutoExtern | Source/AutoExtern/CSharpModel.dfy | [] | [
"T1",
"T2",
"Tuple"
] | https://github.com/dafny-lang/dafny | 8bb7795048d9252198380dec49ffac1e933e25ae | |
{:compile false} {:extern "Tuple"} Tuple3<T1, T2, T3> | {} | class | Tuple3 | AutoExtern | Source/AutoExtern/CSharpModel.dfy | [] | [
"T1",
"T2",
"T3",
"Tuple"
] | https://github.com/dafny-lang/dafny | 8bb7795048d9252198380dec49ffac1e933e25ae | |
{:compile false} {:extern "Tuple"} Tuple4<T1, T2, T3, T4> | {} | class | Tuple4 | AutoExtern | Source/AutoExtern/CSharpModel.dfy | [] | [
"T1",
"T2",
"T3",
"T4",
"Tuple"
] | https://github.com/dafny-lang/dafny | 8bb7795048d9252198380dec49ffac1e933e25ae | |
{:compile false} {:extern "Option"} Option<T> | {} | class | Option | AutoExtern | Source/AutoExtern/CSharpModel.dfy | [] | [] | https://github.com/dafny-lang/dafny | 8bb7795048d9252198380dec49ffac1e933e25ae | |
{:compile false} {:extern} List<T> | {} | class | List | AutoExtern | Source/AutoExtern/CSharpModel.dfy | [] | [] | https://github.com/dafny-lang/dafny | 8bb7795048d9252198380dec49ffac1e933e25ae | |
{:compile false} {:extern} IEnumerable<T> | {} | class | IEnumerable | AutoExtern | Source/AutoExtern/CSharpModel.dfy | [] | [] | https://github.com/dafny-lang/dafny | 8bb7795048d9252198380dec49ffac1e933e25ae | |
{:compile false} {:extern} ISet<T> | {} | class | ISet | AutoExtern | Source/AutoExtern/CSharpModel.dfy | [] | [] | https://github.com/dafny-lang/dafny | 8bb7795048d9252198380dec49ffac1e933e25ae | |
{:compile false} {:extern} HashSet<T> | {} | class | HashSet | AutoExtern | Source/AutoExtern/CSharpModel.dfy | [] | [] | https://github.com/dafny-lang/dafny | 8bb7795048d9252198380dec49ffac1e933e25ae | |
{:compile false} {:extern} Dictionary<TKey, TValue> | {} | class | Dictionary | AutoExtern | Source/AutoExtern/CSharpModel.dfy | [] | [] | https://github.com/dafny-lang/dafny | 8bb7795048d9252198380dec49ffac1e933e25ae | |
{:compile false} {:extern} BigInteger | {} | class | BigInteger | AutoExtern | Source/AutoExtern/CSharpModel.dfy | [] | [] | https://github.com/dafny-lang/dafny | 8bb7795048d9252198380dec49ffac1e933e25ae | |
{:compile false} {:extern} AsyncLocal<A> | {} | class | AsyncLocal | AutoExtern | Source/AutoExtern/CSharpModel.dfy | [] | [] | https://github.com/dafny-lang/dafny | 8bb7795048d9252198380dec49ffac1e933e25ae | |
{:extern "Printer"} Printer | { | class | Printer | AutoExtern.Test.Tutorial.ClientApp | Source/AutoExtern.Test/Tutorial/ClientApp/GroceryListPrinter.dfy | [] | [] | https://github.com/dafny-lang/dafny | 8bb7795048d9252198380dec49ffac1e933e25ae | |
PrintGroceryList(list: GroceryList<Fruit>)
decreases * | {
var items: LinkedList<Entry<Fruit>> := list.items;
print "# Printing a grocery list\n";
/// Surprisingly, the generated trait `LinkedList` refers to the `Length` field
/// as `LinkedList_Length`. This is because C# is more flexible than Dafny, and
/// allows a class to define a field with a name that c... | method | PrintGroceryList | AutoExtern.Test.Tutorial.ClientApp | Source/AutoExtern.Test/Tutorial/ClientApp/GroceryListPrinter.dfy | [] | [
"Cons",
"Fruit",
"LinkedList",
"left",
"list"
] | https://github.com/dafny-lang/dafny | 8bb7795048d9252198380dec49ffac1e933e25ae | |
{:extern "Token"} Token extends object | {
var val: CsString
var LeadingTrivia: CsString
var TrailingTrivia: CsString
var Next: Token?
ghost var allTokens: seq<Token> | trait | Token | DafnyCore.AST | Source/DafnyCore/AST/DafnyInterface.dfy | [] | [
"CsString",
"Next",
"val"
] | https://github.com/dafny-lang/dafny | 8bb7795048d9252198380dec49ffac1e933e25ae | |
Valid() reads this, allTokens decreases |allTokens| | {
&& |allTokens| > 0 && allTokens[0] == this
&& (|| (|allTokens| == 1 && Next == null)
|| (&& |allTokens| > 1
&& Next == allTokens[1]
&& Next.allTokens == allTokens[1..]
&& Next.Valid())
)
} | predicate | Valid | DafnyCore.AST | Source/DafnyCore/AST/DafnyInterface.dfy | [] | [
"Next"
] | https://github.com/dafny-lang/dafny | 8bb7795048d9252198380dec49ffac1e933e25ae | |
AlltokenSpec(i: int)
requires Valid()
decreases |allTokens|
requires 0 <= i < |allTokens|
ensures allTokens == allTokens[..i] + allTokens[i].allTokens | {
if i == 0 {
} else {
this.Next.AlltokenSpec(i - 1);
}
} | lemma | AlltokenSpec | DafnyCore.AST | Source/DafnyCore/AST/DafnyInterface.dfy | [] | [
"Valid"
] | https://github.com/dafny-lang/dafny | 8bb7795048d9252198380dec49ffac1e933e25ae | |
TokenNextIsIPlus1(middle: Token, i: int)
requires Valid()
requires 0 <= i < |allTokens|
requires allTokens[i] == middle
requires middle.Next != null
ensures 0 <= i + 1 < |allTokens| && allTokens[i+1] == middle.Next | {
if i == 0 {
} else {
this.Next.TokenNextIsIPlus1(middle, i - 1);
}
} | lemma | TokenNextIsIPlus1 | DafnyCore.AST | Source/DafnyCore/AST/DafnyInterface.dfy | [] | [
"Token",
"Valid",
"middle"
] | https://github.com/dafny-lang/dafny | 8bb7795048d9252198380dec49ffac1e933e25ae | |
TokenNextIsNullImpliesLastToken(middle: Token, i: int)
requires middle.Valid() && this.Valid()
requires 0 <= i < |allTokens|
requires middle == allTokens[i]
requires middle.Next == null
ensures i == |allTokens|-1 | {
if Next == null {
} else {
Next.TokenNextIsNullImpliesLastToken(middle, i-1);
}
}
}
@Compile(false) | lemma | TokenNextIsNullImpliesLastToken | DafnyCore.AST | Source/DafnyCore/AST/DafnyInterface.dfy | [] | [
"Compile",
"Next",
"Token",
"middle"
] | https://github.com/dafny-lang/dafny | 8bb7795048d9252198380dec49ffac1e933e25ae | |
{:extern "TriviaFormatterHelper"} TriviaFormatterHelper | { | class | TriviaFormatterHelper | DafnyCore.AST | Source/DafnyCore/AST/DafnyInterface.dfy | [] | [] | https://github.com/dafny-lang/dafny | 8bb7795048d9252198380dec49ffac1e933e25ae | |
EndsWithNewline(input: CsString) | predicate | EndsWithNewline | DafnyCore.AST | Source/DafnyCore/AST/DafnyInterface.dfy | [] | [
"CsString",
"input"
] | https://github.com/dafny-lang/dafny | 8bb7795048d9252198380dec49ffac1e933e25ae | ||
{:extern "System", "String.Empty"} CsStringEmpty: CsString | const | CsStringEmpty | DafnyCore.AST | Source/DafnyCore/AST/Formatting.dfy | [] | [
"CsString",
"System"
] | https://github.com/dafny-lang/dafny | 8bb7795048d9252198380dec49ffac1e933e25ae | ||
IIndentationFormatter | { | trait | IIndentationFormatter | DafnyCore.AST | Source/DafnyCore/AST/Formatting.dfy | [] | [] | https://github.com/dafny-lang/dafny | 8bb7795048d9252198380dec49ffac1e933e25ae | |
GetNewLeadingTrivia(token: Token): CsString | function | GetNewLeadingTrivia | DafnyCore.AST | Source/DafnyCore/AST/Formatting.dfy | [] | [
"CsString",
"Token"
] | https://github.com/dafny-lang/dafny | 8bb7795048d9252198380dec49ffac1e933e25ae | ||
GetNewTrailingTrivia(token: Token): CsString | function | GetNewTrailingTrivia | DafnyCore.AST | Source/DafnyCore/AST/Formatting.dfy | [] | [
"CsString",
"Token"
] | https://github.com/dafny-lang/dafny | 8bb7795048d9252198380dec49ffac1e933e25ae | ||
IsAllocated<T>(x: T)
ensures allocated(x) | {
} | lemma | IsAllocated | DafnyCore.AST | Source/DafnyCore/AST/Formatting.dfy | [] | [] | https://github.com/dafny-lang/dafny | 8bb7795048d9252198380dec49ffac1e933e25ae | |
ReindentProgramFromFirstToken(firstToken: Token, reindent: IIndentationFormatter) returns (s: CsString)
requires firstToken.Valid()
ensures forall token: Token <- firstToken.allTokens :: s.Contains(token.val) | {
var token: Token? := firstToken;
var sb := new CsStringBuilder();
ghost var i := 0;
var allTokens := firstToken.allTokens;
while(token != null)
decreases if token == null then 0 else |token.allTokens|
invariant 0 <= i <= |allTokens|
invariant if to... | method | ReindentProgramFromFirstToken | DafnyCore.AST | Source/DafnyCore/AST/Formatting.dfy | [] | [
"ContainsTransitive",
"CsString",
"CsStringBuilder",
"IIndentationFormatter",
"IsAllocated",
"Token"
] | https://github.com/dafny-lang/dafny | 8bb7795048d9252198380dec49ffac1e933e25ae | |
{:extern "Text.StringBuilder"} CsStringBuilder | {
ghost var built: CsString | class | CsStringBuilder | DafnyCore.AST | Source/DafnyCore/AST/System.dfy | [] | [
"CsString"
] | https://github.com/dafny-lang/dafny | 8bb7795048d9252198380dec49ffac1e933e25ae | |
{:extern} ()
@Axiom | constructor | CsStringBuilder | DafnyCore.AST | Source/DafnyCore/AST/System.dfy | [] | [
"Axiom"
] | https://github.com/dafny-lang/dafny | 8bb7795048d9252198380dec49ffac1e933e25ae | ||
{:extern "Append"} Append(s: CsString)
modifies this
ensures built == String.Concat(old(built), s)
// This hack is necessary because ToString is replaced by ToString_
// in the C# compiler, even if it's declared extern...
@Axiom | method | Append | DafnyCore.AST | Source/DafnyCore/AST/System.dfy | [] | [
"Axiom",
"CsString"
] | https://github.com/dafny-lang/dafny | 8bb7795048d9252198380dec49ffac1e933e25ae | ||
{:extern @"ToString().ToString"} ToString() returns (r: CsString)
ensures r == built | method | ToString | DafnyCore.AST | Source/DafnyCore/AST/System.dfy | [] | [
"CsString"
] | https://github.com/dafny-lang/dafny | 8bb7795048d9252198380dec49ffac1e933e25ae | ||
{:extern "String"} CsString(!new,==) { | type | CsString | DafnyCore.AST | Source/DafnyCore/AST/System.dfy | [] | [
"String"
] | https://github.com/dafny-lang/dafny | 8bb7795048d9252198380dec49ffac1e933e25ae | ||
{:extern} Contains(needle: CsString)
@Axiom | predicate | Contains | DafnyCore.AST | Source/DafnyCore/AST/System.dfy | [] | [
"Axiom",
"CsString"
] | https://github.com/dafny-lang/dafny | 8bb7795048d9252198380dec49ffac1e933e25ae | ||
ContainsTransitive(other: CsString, needle: CsString)
requires Contains(other) && other.Contains(needle)
ensures Contains(needle) | lemma | ContainsTransitive | DafnyCore.AST | Source/DafnyCore/AST/System.dfy | [] | [
"Contains",
"CsString"
] | https://github.com/dafny-lang/dafny | 8bb7795048d9252198380dec49ffac1e933e25ae | ||
ContainsTransitive()
ensures forall s1: CsString, s2: CsString, s3: CsString
| s1.Contains(s2) && s2.Contains(s3) :: s1.Contains(s3) | {
forall s1: CsString, s2: CsString, s3: CsString
| s1.Contains(s2) && s2.Contains(s3)
{
s1.ContainsTransitive(s2, s3);
}
}
@Compile(false) | lemma | ContainsTransitive | DafnyCore.AST | Source/DafnyCore/AST/System.dfy | [] | [
"Compile",
"CsString",
"s1"
] | https://github.com/dafny-lang/dafny | 8bb7795048d9252198380dec49ffac1e933e25ae | |
{:extern "String"} String | {
@Axiom | class | String | DafnyCore.AST | Source/DafnyCore/AST/System.dfy | [] | [
"Axiom"
] | https://github.com/dafny-lang/dafny | 8bb7795048d9252198380dec49ffac1e933e25ae | |
{:extern} Concat(s1: CsString, s2: CsString): (r: CsString)
ensures r.Contains(s1)
ensures r.Contains(s2) | function | Concat | DafnyCore.AST | Source/DafnyCore/AST/System.dfy | [] | [
"CsString",
"s1"
] | https://github.com/dafny-lang/dafny | 8bb7795048d9252198380dec49ffac1e933e25ae | ||
UnaryOpFormat | =
| NoFormat
| CombineFormat | datatype | UnaryOpFormat | DafnyCore.Backends.Dafny | Source/DafnyCore/Backends/Dafny/AST.dfy | [] | [] | https://github.com/dafny-lang/dafny | 8bb7795048d9252198380dec49ffac1e933e25ae | |
BinaryOpFormat | =
| NoFormat
| ImpliesFormat
| EquivalenceFormat
| ReverseFormat | datatype | BinaryOpFormat | DafnyCore.Backends.Dafny | Source/DafnyCore/Backends/Dafny/AST.dfy | [] | [] | https://github.com/dafny-lang/dafny | 8bb7795048d9252198380dec49ffac1e933e25ae | |
SeqToHeight<T>(s: seq<T>, f: T --> nat): (r: nat)
requires forall t <- s :: f.requires(t)
ensures forall t <- s :: f(t) <= r | {
if |s| == 0 then 0 else
var i := f(s[0]);
var j := SeqToHeight(s[1..], f);
if i < j then j else i
} | function | SeqToHeight | DafnyCore.Backends.Dafny | Source/DafnyCore/Backends/Dafny/AST.dfy | [] | [] | https://github.com/dafny-lang/dafny | 8bb7795048d9252198380dec49ffac1e933e25ae | |
Name | = Name(dafny_name: string) | datatype | Name | DafnyCore.Backends.Dafny | Source/DafnyCore/Backends/Dafny/AST.dfy | [] | [] | https://github.com/dafny-lang/dafny | 8bb7795048d9252198380dec49ffac1e933e25ae | |
VarName | = VarName(dafny_name: string) | datatype | VarName | DafnyCore.Backends.Dafny | Source/DafnyCore/Backends/Dafny/AST.dfy | [] | [] | https://github.com/dafny-lang/dafny | 8bb7795048d9252198380dec49ffac1e933e25ae | |
Module | = Module(
name: Name,
docString: string,
attributes: seq<Attribute>,
requiresExterns: bool,
body: Option<seq<ModuleItem>>) | datatype | Module | DafnyCore.Backends.Dafny | Source/DafnyCore/Backends/Dafny/AST.dfy | [] | [
"Attribute",
"ModuleItem",
"Name",
"Option",
"attributes",
"name"
] | https://github.com/dafny-lang/dafny | 8bb7795048d9252198380dec49ffac1e933e25ae | |
ModuleItem | =
| Module(Module)
| Class(Class)
| Trait(Trait)
| Newtype(Newtype)
| SynonymType(SynonymType)
| Datatype(Datatype)
{ | datatype | ModuleItem | DafnyCore.Backends.Dafny | Source/DafnyCore/Backends/Dafny/AST.dfy | [] | [
"Class",
"Datatype",
"Module",
"Newtype",
"SynonymType",
"Trait"
] | https://github.com/dafny-lang/dafny | 8bb7795048d9252198380dec49ffac1e933e25ae | |
name(): Name | {
match this {
case Module(m) => m.name
case Class(m) => m.name
case Trait(m) => m.name
case Newtype(m) => m.name
case SynonymType(m) => m.name
case Datatype(m) => m.name
}
} | function | name | DafnyCore.Backends.Dafny | Source/DafnyCore/Backends/Dafny/AST.dfy | [] | [
"Class",
"Datatype",
"Module",
"Name",
"Newtype",
"SynonymType",
"Trait"
] | https://github.com/dafny-lang/dafny | 8bb7795048d9252198380dec49ffac1e933e25ae | |
attributes(): seq<Attribute> | {
match this {
case Module(m) => m.attributes
case Class(m) => m.attributes
case Trait(m) => m.attributes
case Newtype(m) => m.attributes
case SynonymType(m) => m.attributes
case Datatype(m) => m.attributes
}
} | function | attributes | DafnyCore.Backends.Dafny | Source/DafnyCore/Backends/Dafny/AST.dfy | [] | [
"Attribute",
"Class",
"Datatype",
"Module",
"Newtype",
"SynonymType",
"Trait"
] | https://github.com/dafny-lang/dafny | 8bb7795048d9252198380dec49ffac1e933e25ae | |
Type | =
UserDefined(resolved: ResolvedType) |
Tuple(seq<Type>) |
Array(element: Type, dims: nat) |
Seq(element: Type) |
Set(element: Type) |
Multiset(element: Type) |
Map(key: Type, value: Type) |
SetBuilder(element: Type) |
MapBuilder(key: Type, value: Type) |
Arrow(args: seq<Type>, r... | datatype | Type | DafnyCore.Backends.Dafny | Source/DafnyCore/Backends/Dafny/AST.dfy | [] | [
"Array",
"Ident",
"Map",
"Multiset",
"Object",
"Primitive",
"ResolvedType",
"Seq",
"Set",
"Tuple",
"key",
"value"
] | https://github.com/dafny-lang/dafny | 8bb7795048d9252198380dec49ffac1e933e25ae | |
Replace(mapping: map<Type, Type>): Type | {
if this in mapping then mapping[this] else
match this {
case UserDefined(resolved: ResolvedType) =>
Type.UserDefined(resolved.Replace(mapping))
case Tuple(arguments) =>
Type.Tuple(Std.Collections.Seq.Map(
t requires t in arguments => t.Replace(map... | function | Replace | DafnyCore.Backends.Dafny | Source/DafnyCore/Backends/Dafny/AST.dfy | [] | [
"Array",
"Map",
"Multiset",
"Object",
"Primitive",
"ResolvedType",
"Seq",
"Set",
"Tuple",
"Type",
"key",
"mapping",
"value"
] | https://github.com/dafny-lang/dafny | 8bb7795048d9252198380dec49ffac1e933e25ae | |
IsPrimitiveInt() | {
match this {
case Primitive(Int) => true
case UserDefined(ResolvedType(_, _, SynonymType(typ), _, _, _)) =>
typ.IsPrimitiveInt()
case _ => false
}
} | predicate | IsPrimitiveInt | DafnyCore.Backends.Dafny | Source/DafnyCore/Backends/Dafny/AST.dfy | [] | [
"Int",
"Primitive",
"ResolvedType",
"SynonymType"
] | https://github.com/dafny-lang/dafny | 8bb7795048d9252198380dec49ffac1e933e25ae | |
IsGeneralTrait() | {
match this {
case UserDefined(ResolvedType(_, _, typeKind, _, _, _)) =>
match typeKind {
case SynonymType(typ) =>
typ.IsGeneralTrait()
case Trait(GeneralTrait) => true
case _ => false
}
case _ => false
}
} | predicate | IsGeneralTrait | DafnyCore.Backends.Dafny | Source/DafnyCore/Backends/Dafny/AST.dfy | [] | [
"GeneralTrait",
"ResolvedType",
"SynonymType",
"Trait"
] | https://github.com/dafny-lang/dafny | 8bb7795048d9252198380dec49ffac1e933e25ae | |
GetGeneralTraitType(): (r: Type)
requires IsGeneralTrait()
ensures r.UserDefined? && r.resolved.kind == ResolvedTypeBase.Trait(GeneralTrait) | {
match this {
case UserDefined(ResolvedType(_, _, typeKind, _, _, _)) =>
match typeKind {
case SynonymType(typ) =>
typ.GetGeneralTraitType()
case _ => this
}
}
} | function | GetGeneralTraitType | DafnyCore.Backends.Dafny | Source/DafnyCore/Backends/Dafny/AST.dfy | [] | [
"GeneralTrait",
"IsGeneralTrait",
"ResolvedType",
"SynonymType",
"Type"
] | https://github.com/dafny-lang/dafny | 8bb7795048d9252198380dec49ffac1e933e25ae | |
IsClassOrObjectTrait() | {
match this {
case UserDefined(ResolvedType(_, _, base, _, _, _)) =>
base.Class? || (base.Trait? && base.traitType.ObjectTrait?)
case _ => false
}
} | predicate | IsClassOrObjectTrait | DafnyCore.Backends.Dafny | Source/DafnyCore/Backends/Dafny/AST.dfy | [] | [
"ResolvedType",
"base"
] | https://github.com/dafny-lang/dafny | 8bb7795048d9252198380dec49ffac1e933e25ae | |
IsDatatype() | {
match this {
case UserDefined(ResolvedType(_, _, typeKind, _, _, _)) =>
match typeKind {
case SynonymType(typ) =>
typ.IsDatatype()
case Datatype(_, _) => true
case _ => false
}
case _ => false
}
} | predicate | IsDatatype | DafnyCore.Backends.Dafny | Source/DafnyCore/Backends/Dafny/AST.dfy | [] | [
"Datatype",
"ResolvedType",
"SynonymType"
] | https://github.com/dafny-lang/dafny | 8bb7795048d9252198380dec49ffac1e933e25ae | |
GetDatatypeType(): (r: Type)
requires IsDatatype()
ensures r.UserDefined? && r.resolved.kind.Datatype? | {
match this {
case UserDefined(ResolvedType(_, _, typeKind, _, _, _)) =>
match typeKind {
case SynonymType(typ) =>
typ.GetDatatypeType()
case _ => this
}
}
} | function | GetDatatypeType | DafnyCore.Backends.Dafny | Source/DafnyCore/Backends/Dafny/AST.dfy | [] | [
"IsDatatype",
"ResolvedType",
"SynonymType",
"Type"
] | https://github.com/dafny-lang/dafny | 8bb7795048d9252198380dec49ffac1e933e25ae | |
Extends(other: Type)
ensures this.Extends(other) ==> other < this | {
match this {
case UserDefined(ResolvedType(_, _, _, _, _, extendedTypes)) =>
other in extendedTypes || exists i | 0 <= i < |extendedTypes| :: extendedTypes[i].Extends(other)
case _ => false
}
} | predicate | Extends | DafnyCore.Backends.Dafny | Source/DafnyCore/Backends/Dafny/AST.dfy | [] | [
"ResolvedType",
"Type"
] | https://github.com/dafny-lang/dafny | 8bb7795048d9252198380dec49ffac1e933e25ae | |
RemoveSynonyms(): Type | {
match this {
case UserDefined(ResolvedType(path, typeArgs, typeKind, attributes, properMethods, extendedTypes)) =>
match typeKind {
case SynonymType(typ) =>
typ.RemoveSynonyms()
case _ =>
var newtypeArgs := seq(|typeArgs|, i requires 0 <= i <... | function | RemoveSynonyms | DafnyCore.Backends.Dafny | Source/DafnyCore/Backends/Dafny/AST.dfy | [] | [
"Array",
"Map",
"Multiset",
"Object",
"Primitive",
"ResolvedType",
"Seq",
"Set",
"SynonymType",
"Tuple",
"Type",
"attributes",
"key",
"value"
] | https://github.com/dafny-lang/dafny | 8bb7795048d9252198380dec49ffac1e933e25ae | |
Variance | =
| Nonvariant
| Covariant
| Contravariant | datatype | Variance | DafnyCore.Backends.Dafny | Source/DafnyCore/Backends/Dafny/AST.dfy | [] | [
"Contravariant",
"Covariant",
"Nonvariant"
] | https://github.com/dafny-lang/dafny | 8bb7795048d9252198380dec49ffac1e933e25ae | |
TypeArgDecl | = TypeArgDecl(
name: Ident,
bounds: seq<TypeArgBound>,
info: TypeParameterInfo) | datatype | TypeArgDecl | DafnyCore.Backends.Dafny | Source/DafnyCore/Backends/Dafny/AST.dfy | [] | [
"Ident",
"TypeArgBound",
"TypeParameterInfo",
"name"
] | https://github.com/dafny-lang/dafny | 8bb7795048d9252198380dec49ffac1e933e25ae | |
TypeArgBound | =
| SupportsEquality
| SupportsDefault
| TraitBound(typ: Type) | datatype | TypeArgBound | DafnyCore.Backends.Dafny | Source/DafnyCore/Backends/Dafny/AST.dfy | [] | [
"Type"
] | https://github.com/dafny-lang/dafny | 8bb7795048d9252198380dec49ffac1e933e25ae | |
Primitive | = Int | Real | String | Bool | Char | Native | datatype | Primitive | DafnyCore.Backends.Dafny | Source/DafnyCore/Backends/Dafny/AST.dfy | [] | [
"Bool",
"Char",
"Int",
"Native",
"Real",
"String"
] | https://github.com/dafny-lang/dafny | 8bb7795048d9252198380dec49ffac1e933e25ae | |
NewtypeRange | =
| U8(overflow: bool) // Whether arithmetic operations can overflow and wrap
| I8(overflow: bool)
| U16(overflow: bool)
| I16(overflow: bool)
| U32(overflow: bool)
| I32(overflow: bool)
| U64(overflow: bool)
| I64(overflow: bool)
| U128(overflow: bool)
| I128(overflow: bool)
... | datatype | NewtypeRange | DafnyCore.Backends.Dafny | Source/DafnyCore/Backends/Dafny/AST.dfy | [] | [
"Bool",
"Map",
"Sequence",
"U8"
] | https://github.com/dafny-lang/dafny | 8bb7795048d9252198380dec49ffac1e933e25ae | |
CanOverflow() | {
(U8? || I8? || U16? || I16? || U32? || I32? || U64? || I64? || U128? || I128?) && overflow
} | predicate | CanOverflow | DafnyCore.Backends.Dafny | Source/DafnyCore/Backends/Dafny/AST.dfy | [] | [
"U8"
] | https://github.com/dafny-lang/dafny | 8bb7795048d9252198380dec49ffac1e933e25ae | |
HasArithmeticOperations() | {
!Bool? && !Map? && !Sequence?
} | predicate | HasArithmeticOperations | DafnyCore.Backends.Dafny | Source/DafnyCore/Backends/Dafny/AST.dfy | [] | [
"Bool",
"Map",
"Sequence"
] | https://github.com/dafny-lang/dafny | 8bb7795048d9252198380dec49ffac1e933e25ae | |
Attribute | = Attribute(name: string, args: seq<string>) | datatype | Attribute | DafnyCore.Backends.Dafny | Source/DafnyCore/Backends/Dafny/AST.dfy | [] | [
"name"
] | https://github.com/dafny-lang/dafny | 8bb7795048d9252198380dec49ffac1e933e25ae | |
NewtypeType | = NewtypeType(baseType: Type, range: NewtypeRange, erase: bool) | datatype | NewtypeType | DafnyCore.Backends.Dafny | Source/DafnyCore/Backends/Dafny/AST.dfy | [] | [
"NewtypeRange",
"Type"
] | https://github.com/dafny-lang/dafny | 8bb7795048d9252198380dec49ffac1e933e25ae | |
TraitType | =
| ObjectTrait() // Traits that extend objects with --type-system-refresh, all traits otherwise
| GeneralTrait() | datatype | TraitType | DafnyCore.Backends.Dafny | Source/DafnyCore/Backends/Dafny/AST.dfy | [] | [
"GeneralTrait"
] | https://github.com/dafny-lang/dafny | 8bb7795048d9252198380dec49ffac1e933e25ae | |
TypeParameterInfo | =
TypeParameterInfo(variance: Variance, necessaryForEqualitySupportOfSurroundingInductiveDatatype: bool) | datatype | TypeParameterInfo | DafnyCore.Backends.Dafny | Source/DafnyCore/Backends/Dafny/AST.dfy | [] | [
"Variance"
] | https://github.com/dafny-lang/dafny | 8bb7795048d9252198380dec49ffac1e933e25ae | |
EqualitySupport | = Never | ConsultTypeArguments | datatype | EqualitySupport | DafnyCore.Backends.Dafny | Source/DafnyCore/Backends/Dafny/AST.dfy | [] | [
"Never"
] | https://github.com/dafny-lang/dafny | 8bb7795048d9252198380dec49ffac1e933e25ae | |
ResolvedTypeBase | =
| Class()
| Datatype(equalitySupport: EqualitySupport, info: seq<TypeParameterInfo>)
| Trait(traitType: TraitType)
| SynonymType(baseType: Type)
| Newtype(baseType: Type, range: NewtypeRange, erase: bool) | datatype | ResolvedTypeBase | DafnyCore.Backends.Dafny | Source/DafnyCore/Backends/Dafny/AST.dfy | [] | [
"Class",
"Datatype",
"EqualitySupport",
"Newtype",
"NewtypeRange",
"SynonymType",
"Trait",
"TraitType",
"Type",
"TypeParameterInfo"
] | https://github.com/dafny-lang/dafny | 8bb7795048d9252198380dec49ffac1e933e25ae | |
ResolvedType | = ResolvedType(
path: seq<Ident>,
typeArgs: seq<Type>,
kind: ResolvedTypeBase,
attributes: seq<Attribute>,
properMethods: seq<Name>,
extendedTypes: seq<Type>) { | datatype | ResolvedType | DafnyCore.Backends.Dafny | Source/DafnyCore/Backends/Dafny/AST.dfy | [] | [
"Attribute",
"Ident",
"Name",
"ResolvedTypeBase",
"Type",
"attributes"
] | https://github.com/dafny-lang/dafny | 8bb7795048d9252198380dec49ffac1e933e25ae | |
Replace(mapping: map<Type, Type>): ResolvedType | {
ResolvedType(
path,
Std.Collections.Seq.Map(
t requires t in typeArgs => t.Replace(mapping), typeArgs),
match kind {
case Newtype(baseType, range, erase) =>
ResolvedTypeBase.Newtype(baseType.Replace(mapping), range, erase)
case _ => kind
... | function | Replace | DafnyCore.Backends.Dafny | Source/DafnyCore/Backends/Dafny/AST.dfy | [] | [
"Newtype",
"ResolvedType",
"Type",
"attributes",
"mapping"
] | https://github.com/dafny-lang/dafny | 8bb7795048d9252198380dec49ffac1e933e25ae | |
Ident | = Ident(id: Name) | datatype | Ident | DafnyCore.Backends.Dafny | Source/DafnyCore/Backends/Dafny/AST.dfy | [] | [
"Name",
"id"
] | https://github.com/dafny-lang/dafny | 8bb7795048d9252198380dec49ffac1e933e25ae | |
Class | = Class(
name: Name,
docString: string,
enclosingModule: Ident,
typeParams: seq<TypeArgDecl>,
superTraitTypes: seq<Type>,
fields: seq<Field>,
body: seq<ClassItem>,
attributes: seq<Attribute>) | datatype | Class | DafnyCore.Backends.Dafny | Source/DafnyCore/Backends/Dafny/AST.dfy | [] | [
"Attribute",
"ClassItem",
"Field",
"Ident",
"Name",
"Type",
"TypeArgDecl",
"attributes",
"name"
] | https://github.com/dafny-lang/dafny | 8bb7795048d9252198380dec49ffac1e933e25ae | |
Trait | = Trait(
name: Name,
docString: string,
typeParams: seq<TypeArgDecl>,
traitType: TraitType,
parents: seq<Type>,
downcastableTraits: seq<Type>,
body: seq<ClassItem>,
attributes: seq<Attribute>) | datatype | Trait | DafnyCore.Backends.Dafny | Source/DafnyCore/Backends/Dafny/AST.dfy | [] | [
"Attribute",
"ClassItem",
"Name",
"TraitType",
"Type",
"TypeArgDecl",
"attributes",
"name"
] | https://github.com/dafny-lang/dafny | 8bb7795048d9252198380dec49ffac1e933e25ae | |
Datatype | = Datatype(
name: Name,
docString: string,
enclosingModule: Ident,
typeParams: seq<TypeArgDecl>,
ctors: seq<DatatypeCtor>,
body: seq<ClassItem>,
isCo: bool,
equalitySupport: EqualitySupport,
attributes: seq<Attribute>,
superTraitTypes: seq<Type>,
superTraitNegativeTypes: seq<... | datatype | Datatype | DafnyCore.Backends.Dafny | Source/DafnyCore/Backends/Dafny/AST.dfy | [] | [
"Attribute",
"ClassItem",
"DatatypeCtor",
"EqualitySupport",
"Ident",
"Name",
"Type",
"TypeArgDecl",
"attributes",
"name"
] | https://github.com/dafny-lang/dafny | 8bb7795048d9252198380dec49ffac1e933e25ae | |
DatatypeDtor | = DatatypeDtor(
formal: Formal,
callName: Option<string>) | datatype | DatatypeDtor | DafnyCore.Backends.Dafny | Source/DafnyCore/Backends/Dafny/AST.dfy | [] | [
"Formal",
"Option"
] | https://github.com/dafny-lang/dafny | 8bb7795048d9252198380dec49ffac1e933e25ae | |
DatatypeCtor | = DatatypeCtor(
name: Name,
docString: string,
args: seq<DatatypeDtor>,
hasAnyArgs: bool /* includes ghost */) | datatype | DatatypeCtor | DafnyCore.Backends.Dafny | Source/DafnyCore/Backends/Dafny/AST.dfy | [] | [
"DatatypeDtor",
"Name",
"name"
] | https://github.com/dafny-lang/dafny | 8bb7795048d9252198380dec49ffac1e933e25ae | |
Newtype | =
Newtype(
name: Name,
docString: string,
typeParams: seq<TypeArgDecl>, base: Type,
range: NewtypeRange, constraint: Option<NewtypeConstraint>,
witnessStmts: seq<Statement>, witnessExpr: Option<Expression>,
equalitySupport: EqualitySupport,
attributes: seq<Attribute>,
... | datatype | Newtype | DafnyCore.Backends.Dafny | Source/DafnyCore/Backends/Dafny/AST.dfy | [] | [
"Attribute",
"ClassItem",
"EqualitySupport",
"Expression",
"Name",
"NewtypeConstraint",
"NewtypeRange",
"Option",
"Statement",
"Type",
"TypeArgDecl",
"attributes",
"base",
"name"
] | https://github.com/dafny-lang/dafny | 8bb7795048d9252198380dec49ffac1e933e25ae | |
NewtypeConstraint | = NewtypeConstraint(variable: Formal, constraintStmts: seq<Statement>) | datatype | NewtypeConstraint | DafnyCore.Backends.Dafny | Source/DafnyCore/Backends/Dafny/AST.dfy | [] | [
"Formal",
"Statement"
] | https://github.com/dafny-lang/dafny | 8bb7795048d9252198380dec49ffac1e933e25ae | |
SynonymType | = SynonymType(
name: Name,
docString: string,
typeParams: seq<TypeArgDecl>,
base: Type,
witnessStmts: seq<Statement>,
witnessExpr: Option<Expression>,
attributes: seq<Attribute>) | datatype | SynonymType | DafnyCore.Backends.Dafny | Source/DafnyCore/Backends/Dafny/AST.dfy | [] | [
"Attribute",
"Expression",
"Name",
"Option",
"Statement",
"Type",
"TypeArgDecl",
"attributes",
"base",
"name"
] | https://github.com/dafny-lang/dafny | 8bb7795048d9252198380dec49ffac1e933e25ae | |
ClassItem | = Method(Method) | datatype | ClassItem | DafnyCore.Backends.Dafny | Source/DafnyCore/Backends/Dafny/AST.dfy | [] | [
"Method"
] | https://github.com/dafny-lang/dafny | 8bb7795048d9252198380dec49ffac1e933e25ae | |
Field | = Field(formal: Formal, isConstant: bool, defaultValue: Option<Expression>, isStatic: bool) | datatype | Field | DafnyCore.Backends.Dafny | Source/DafnyCore/Backends/Dafny/AST.dfy | [] | [
"Expression",
"Formal",
"Option"
] | https://github.com/dafny-lang/dafny | 8bb7795048d9252198380dec49ffac1e933e25ae | |
Formal | = Formal(name: VarName, typ: Type, attributes: seq<Attribute>) | datatype | Formal | DafnyCore.Backends.Dafny | Source/DafnyCore/Backends/Dafny/AST.dfy | [] | [
"Attribute",
"Type",
"VarName",
"attributes",
"name"
] | https://github.com/dafny-lang/dafny | 8bb7795048d9252198380dec49ffac1e933e25ae | |
Method | = Method(
docString: string,
attributes: seq<Attribute>,
isStatic: bool,
hasBody: bool,
outVarsAreUninitFieldsToAssign: bool, // For constructors
wasFunction: bool, // To choose between "&self" and "&mut self"
overridingPath: Option<seq<Ident>>,
name: Name,
typeParams: seq<TypeArgDec... | datatype | Method | DafnyCore.Backends.Dafny | Source/DafnyCore/Backends/Dafny/AST.dfy | [] | [
"Attribute",
"Formal",
"Ident",
"Name",
"Option",
"Statement",
"Type",
"TypeArgDecl",
"VarName",
"attributes",
"name"
] | https://github.com/dafny-lang/dafny | 8bb7795048d9252198380dec49ffac1e933e25ae | |
CallSignature | = CallSignature(parameters: seq<Formal>, inheritedParams: seq<Formal>) | datatype | CallSignature | DafnyCore.Backends.Dafny | Source/DafnyCore/Backends/Dafny/AST.dfy | [] | [
"Formal"
] | https://github.com/dafny-lang/dafny | 8bb7795048d9252198380dec49ffac1e933e25ae | |
CallName | =
CallName(name: Name, onType: Option<Type>, receiverArg: Option<Formal>, receiverAsArgument: bool, signature: CallSignature) |
MapBuilderAdd | MapBuilderBuild | SetBuilderAdd | SetBuilderBuild | datatype | CallName | DafnyCore.Backends.Dafny | Source/DafnyCore/Backends/Dafny/AST.dfy | [] | [
"CallSignature",
"Formal",
"Name",
"Option",
"Type",
"name"
] | https://github.com/dafny-lang/dafny | 8bb7795048d9252198380dec49ffac1e933e25ae | |
Statement | =
DeclareVar(name: VarName, typ: Type, maybeValue: Option<Expression>) |
Assign(lhs: AssignLhs, value: Expression) |
If(cond: Expression, thn: seq<Statement>, els: seq<Statement>) |
Labeled(lbl: string, body: seq<Statement>) |
While(cond: Expression, body: seq<Statement>) |
Foreach(boundName: Va... | datatype | Statement | DafnyCore.Backends.Dafny | Source/DafnyCore/Backends/Dafny/AST.dfy | [] | [
"Assign",
"AssignLhs",
"Break",
"Call",
"CallName",
"Expression",
"Field",
"If",
"Option",
"Print",
"Return",
"TailRecursive",
"Type",
"VarName",
"While",
"name",
"value"
] | https://github.com/dafny-lang/dafny | 8bb7795048d9252198380dec49ffac1e933e25ae | |
AssignLhs | =
Ident(ident: VarName) |
Select(expr: Expression, field: VarName, isConstant: bool) |
Index(expr: Expression, indices: seq<Expression>) | datatype | AssignLhs | DafnyCore.Backends.Dafny | Source/DafnyCore/Backends/Dafny/AST.dfy | [] | [
"Expression",
"Ident",
"Index",
"Select",
"VarName",
"field"
] | https://github.com/dafny-lang/dafny | 8bb7795048d9252198380dec49ffac1e933e25ae | |
CollKind | = Seq | Array | Map | datatype | CollKind | DafnyCore.Backends.Dafny | Source/DafnyCore/Backends/Dafny/AST.dfy | [] | [
"Array",
"Map",
"Seq"
] | https://github.com/dafny-lang/dafny | 8bb7795048d9252198380dec49ffac1e933e25ae | |
TypedBinOp | =
TypedBinOp(op: BinOp, leftType: Type, rightType: Type, resultType: Type) | datatype | TypedBinOp | DafnyCore.Backends.Dafny | Source/DafnyCore/Backends/Dafny/AST.dfy | [] | [
"BinOp",
"Type"
] | https://github.com/dafny-lang/dafny | 8bb7795048d9252198380dec49ffac1e933e25ae | |
BinOp | =
Eq(referential: bool) |
Div(overflow: bool) | EuclidianDiv() |
Mod() | EuclidianMod() |
Lt() | // a <= b is !(b < a)
LtChar() |
Plus(overflow: bool) | Minus(overflow: bool) | Times(overflow: bool) |
BitwiseAnd() | BitwiseOr() | BitwiseXor() |
BitwiseShiftRight() | BitwiseShiftLeft() |
... | datatype | BinOp | DafnyCore.Backends.Dafny | Source/DafnyCore/Backends/Dafny/AST.dfy | [] | [
"And",
"Concat",
"Div",
"Eq",
"In",
"Lt",
"Minus",
"Mod",
"Or",
"Plus",
"SeqPrefix",
"Subset",
"Times"
] | https://github.com/dafny-lang/dafny | 8bb7795048d9252198380dec49ffac1e933e25ae | |
SelectContext | =
SelectContextDatatype | SelectContextGeneralTrait | SelectContextClassOrObjectTrait | datatype | SelectContext | DafnyCore.Backends.Dafny | Source/DafnyCore/Backends/Dafny/AST.dfy | [] | [] | https://github.com/dafny-lang/dafny | 8bb7795048d9252198380dec49ffac1e933e25ae |
End of preview. Expand in Data Studio
Dafny
A structured dataset of functions, lemmas, and predicates from Dafny, a verification-aware programming language.
Source
- Repository: https://github.com/dafny-lang/dafny
- Commit:
8bb7795048d9252198380dec49ffac1e933e25ae - Files: 2155
- License: mit
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: 23,281
- With proof: 20,098 (86.3%)
- With docstring: 0 (0.0%)
- Libraries: 158
By type
| Type | Count |
|---|---|
| method | 7,955 |
| function | 4,447 |
| lemma | 2,370 |
| predicate | 1,858 |
| datatype | 1,315 |
| type | 1,201 |
| class | 1,140 |
| const | 1,002 |
| newtype | 772 |
| trait | 501 |
| constructor | 477 |
| codatatype | 124 |
| iterator | 117 |
| copredicate | 1 |
| colemma | 1 |
Example
{:extern "Token"} Token extends object
{
var val: CsString
var LeadingTrivia: CsString
var TrailingTrivia: CsString
var Next: Token?
ghost var allTokens: seq<Token>
- type: trait | symbolic_name:
Token| Source/DafnyCore/AST/DafnyInterface.dfy
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{dafny_dataset,
title = {Dafny},
author = {Norton, Charles},
year = {2026},
note = {Extracted from https://github.com/dafny-lang/dafny, commit 8bb7795048d9},
url = {https://huggingface.co/datasets/phanerozoic/Dafny}
}
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