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142 changes: 142 additions & 0 deletions Ix/IxVM/Ixon.lean
Original file line number Diff line number Diff line change
Expand Up @@ -3,6 +3,7 @@ import Ix.Aiur.Meta
namespace IxVM

def ixon := ⟦
-- Expression type
enum Expr {
Srt([G; 8]),
Var([G; 8]),
Expand All @@ -17,6 +18,147 @@ def ixon := ⟦
Let([G; 8], &Expr, &Expr, &Expr),
Share([G; 8])
}

-- Universe levels
enum Univ {
Zero,
Succ(&Univ),
Max(&Univ, &Univ),
IMax(&Univ, &Univ),
Var([G; 8])
}

enum ExprList {
Cons(&Expr, &ExprList),
Nil
}

enum UnivList {
Cons(&Univ, &UnivList),
Nil
}

enum AddressList {
Cons([G; 32], &AddressList),
Nil
}

-- Definition kind
enum DefKind {
Definition,
Opaque,
Theorem
}

-- Definition safety
enum DefinitionSafety {
Unsafe,
Safe,
Partial
}

-- Quotient kind
enum QuotKind {
Typ,
Ctor,
Lift,
Ind
}

-- Definition: (kind, safety, lvls, typ, value)
enum Definition {
Mk(DefKind, DefinitionSafety, [G; 8], &Expr, &Expr)
}

-- RecursorRule: (fields, rhs)
enum RecursorRule {
Mk([G; 8], &Expr)
}

enum RecursorRuleList {
Cons(RecursorRule, &RecursorRuleList),
Nil
}

-- Recursor: (k, is_unsafe, lvls, params, indices, motives, minors, typ, rules)
enum Recursor {
Mk(G, G, [G; 8], [G; 8], [G; 8], [G; 8], [G; 8], &Expr, &RecursorRuleList)
}

-- Axiom: (is_unsafe, lvls, typ)
enum Axiom {
Mk(G, [G; 8], &Expr)
}

-- Quotient: (kind, lvls, typ)
enum Quotient {
Mk(QuotKind, [G; 8], &Expr)
}

-- Constructor: (is_unsafe, lvls, cidx, params, fields, typ)
enum Constructor {
Mk(G, [G; 8], [G; 8], [G; 8], [G; 8], &Expr)
}

enum ConstructorList {
Cons(Constructor, &ConstructorList),
Nil
}

-- Inductive: (recr, refl, is_unsafe, lvls, params, indices, nested, typ, ctors)
enum Inductive {
Mk(G, G, G, [G; 8], [G; 8], [G; 8], [G; 8], &Expr, &ConstructorList)
}

-- InductiveProj: (idx, block_address)
enum InductiveProj {
Mk([G; 8], [G; 32])
}

-- ConstructorProj: (idx, cidx, block_address)
enum ConstructorProj {
Mk([G; 8], [G; 8], [G; 32])
}

-- RecursorProj: (idx, block_address)
enum RecursorProj {
Mk([G; 8], [G; 32])
}

-- DefinitionProj: (idx, block_address)
enum DefinitionProj {
Mk([G; 8], [G; 32])
}

-- MutConst: constants within a mutual block
enum MutConst {
Defn(Definition),
Indc(Inductive),
Recr(Recursor)
}

enum MutConstList {
Cons(MutConst, &MutConstList),
Nil
}

-- ConstantInfo: the variant/payload of a constant
enum ConstantInfo {
Defn(Definition),
Recr(Recursor),
Axio(Axiom),
Quot(Quotient),
CPrj(ConstructorProj),
RPrj(RecursorProj),
IPrj(InductiveProj),
DPrj(DefinitionProj),
Muts(&MutConstList)
}

-- Constant: (info, sharing, refs, univs)
enum Constant {
Mk(ConstantInfo, &ExprList, &AddressList, &UnivList)
}

end IxVM
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