(* Grammar ******************************************************************)
-notation "hvbox( ⓪ )"
+notation "⓪"
non associative with precedence 90
for @{ 'Item0 }.
non associative with precedence 90
for @{ 'Item0 $I }.
-notation "hvbox( ⋆ )"
+notation "⋆"
non associative with precedence 90
for @{ 'Star }.
non associative with precedence 90
for @{ 'GRef $p }.
-notation "hvbox( ② term 90 T1 . break term 90 T )"
- non associative with precedence 90
+notation "hvbox( ② term 55 T1 . break term 55 T )"
+ non associative with precedence 55
for @{ 'SnItem2 $T1 $T }.
-notation "hvbox( ② { I } break term 90 T1 . break term 90 T )"
- non associative with precedence 90
+notation "hvbox( ② { I } break term 55 T1 . break term 55 T )"
+ non associative with precedence 55
for @{ 'SnItem2 $I $T1 $T }.
-notation "hvbox( ⓑ { I } break term 90 T1 . break term 90 T )"
- non associative with precedence 90
- for @{ 'SnBind2 $I $T1 $T }.
+notation "hvbox( ⓑ { a , I } break term 55 T1 . break term 55 T )"
+ non associative with precedence 55
+ for @{ 'SnBind2 $a $I $T1 $T }.
-notation "hvbox( ⓕ { I } break term 90 T1 . break term 90 T )"
- non associative with precedence 90
+notation "hvbox( + ⓑ { I } break term 55 T1 . break term 55 T )"
+ non associative with precedence 55
+ for @{ 'SnBind2Pos $I $T1 $T }.
+
+notation "hvbox( - ⓑ { I } break term 55 T1 . break term 55 T )"
+ non associative with precedence 55
+ for @{ 'SnBind2Neg $I $T1 $T }.
+
+notation "hvbox( ⓕ { I } break term 55 T1 . break term 55 T )"
+ non associative with precedence 55
for @{ 'SnFlat2 $I $T1 $T }.
-notation "hvbox( ⓓ term 90 T1 . break term 90 T2 )"
- non associative with precedence 90
- for @{ 'SnAbbr $T1 $T2 }.
+notation "hvbox( ⓓ { a } term 55 T1 . break term 55 T2 )"
+ non associative with precedence 55
+ for @{ 'SnAbbr $a $T1 $T2 }.
-notation "hvbox( ⓛ term 90 T1 . break term 90 T2 )"
- non associative with precedence 90
- for @{ 'SnAbst $T1 $T2 }.
+notation "hvbox( + ⓓ term 55 T1 . break term 55 T2 )"
+ non associative with precedence 55
+ for @{ 'SnAbbrPos $T1 $T2 }.
-notation "hvbox( ⓐ term 90 T1 . break term 90 T2 )"
- non associative with precedence 90
+notation "hvbox( - ⓓ term 55 T1 . break term 55 T2 )"
+ non associative with precedence 55
+ for @{ 'SnAbbrNeg $T1 $T2 }.
+
+notation "hvbox( ⓛ { a } term 55 T1 . break term 55 T2 )"
+ non associative with precedence 55
+ for @{ 'SnAbst $a $T1 $T2 }.
+
+notation "hvbox( + ⓛ term 55 T1 . break term 55 T2 )"
+ non associative with precedence 55
+ for @{ 'SnAbstPos $T1 $T2 }.
+
+notation "hvbox( - ⓛ term 55 T1 . break term 55 T2 )"
+ non associative with precedence 55
+ for @{ 'SnAbstNeg $T1 $T2 }.
+
+notation "hvbox( ⓐ term 55 T1 . break term 55 T2 )"
+ non associative with precedence 55
for @{ 'SnAppl $T1 $T2 }.
-notation "hvbox( â\93£ term 90 T1 . break term 90 T2 )"
- non associative with precedence 90
+notation "hvbox( â\93\9d term 55 T1 . break term 55 T2 )"
+ non associative with precedence 55
for @{ 'SnCast $T1 $T2 }.
-notation "hvbox( Ⓐ term 90 T1 . break term 90 T )"
- non associative with precedence 90
+notation "hvbox( Ⓐ term 55 T1 . break term 55 T )"
+ non associative with precedence 55
for @{ 'SnApplV $T1 $T }.
notation > "hvbox( T . break ②{ I } break term 47 T1 )"
non associative with precedence 46
for @{ 'DxBind2 $T $I $T1 }.
-notation "hvbox( T . break ⓑ { I } break term 90 T1 )"
- non associative with precedence 89
+notation "hvbox( T . break ⓑ { I } break term 48 T1 )"
+ non associative with precedence 47
for @{ 'DxBind2 $T $I $T1 }.
notation "hvbox( T1 . break ⓓ T2 )"
for @{ 'DxAbst $T1 $T2 }.
notation "hvbox( T . break ④ { I } break { T1 , break T2 , break T3 } )"
- non associative with precedence 47
+ non associative with precedence 50
for @{ 'DxItem4 $T $I $T1 $T2 $T3 }.
notation "hvbox( # [ x ] )"
non associative with precedence 90
for @{ 'Weight $x $y }.
-notation "hvbox( 𝐒 [ T ] )"
+notation "hvbox( 𝐒 ⦃ T ⦄ )"
non associative with precedence 45
for @{ 'Simple $T }.
-notation "hvbox( L ⊢ break term 90 T1 ≈ break T2 )"
+notation "hvbox( L ⊢ break term 46 T1 ≈ break term 46 T2 )"
non associative with precedence 45
for @{ 'Hom $L $T1 $T2 }.
-notation "hvbox( T1 ≃ break T2 )"
+notation "hvbox( T1 ≃ break term 46 T2 )"
non associative with precedence 45
for @{ 'Iso $T1 $T2 }.
-notation "hvbox( T1 break [ d , break e ] ≼ break T2 )"
- non associative with precedence 45
- for @{ 'SubEq $T1 $d $e $T2 }.
-
(* Substitution *************************************************************)
-notation "hvbox( L ⊢ break [ d , break e ] break 𝐑 [ T ] )"
+notation "hvbox( L ⊢ break 𝐑 [ d , break e ] break ⦃ T ⦄ )"
non associative with precedence 45
for @{ 'Reducible $L $d $e $T }.
-notation "hvbox( L ⊢ break [ d , break e ] break 𝐈 [ T ] )"
+notation "hvbox( L ⊢ break 𝐈 [ d , break e ] break ⦃ T ⦄ )"
non associative with precedence 45
for @{ 'NotReducible $L $d $e $T }.
-notation "hvbox( L ⊢ break [ d , break e ] break 𝐍 [ T ] )"
+notation "hvbox( L ⊢ break 𝐍 [ d , break e ] break ⦃ T ⦄ )"
non associative with precedence 45
for @{ 'Normal $L $d $e $T }.
-notation "hvbox( ⇧ [ d , break e ] break T1 ≡ break T2 )"
+notation "hvbox( ⇧ [ d , break e ] break term 46 T1 ≡ break term 46 T2 )"
non associative with precedence 45
for @{ 'RLift $d $e $T1 $T2 }.
-notation "hvbox( ⇩ [ e ] break L1 ≡ break L2 )"
+notation "hvbox( T1 break ≼ [ d , break e ] break term 46 T2 )"
+ non associative with precedence 45
+ for @{ 'SubEq $T1 $d $e $T2 }.
+
+notation "hvbox( ≽ [ d , break e ] break term 46 T2 )"
+ non associative with precedence 45
+ for @{ 'SubEqBottom $d $e $T2 }.
+
+notation "hvbox( ⇩ [ e ] break term 46 L1 ≡ break term 46 L2 )"
non associative with precedence 45
for @{ 'RDrop $e $L1 $L2 }.
-notation "hvbox( ⇩ [ d , break e ] break L1 ≡ break L2 )"
+notation "hvbox( ⇩ [ d , break e ] break term 46 L1 ≡ break term 46 L2 )"
non associative with precedence 45
for @{ 'RDrop $d $e $L1 $L2 }.
-notation "hvbox( L ⊢ break ⌘ [ T ] ≡ break k )"
+notation "hvbox( L ⊢ break ⌘ ⦃ T ⦄ ≡ break term 46 k )"
non associative with precedence 45
for @{ 'ICM $L $T $k }.
-notation "hvbox( T1 break [ d , break e ] ▶ break T2 )"
- non associative with precedence 45
- for @{ 'PSubst $T1 $d $e $T2 }.
-
-notation "hvbox( L ⊢ break term 90 T1 break [ d , break e ] ▶ break T2 )"
+notation "hvbox( L ⊢ break term 46 T1 break ▶ [ d , break e ] break term 46 T2 )"
non associative with precedence 45
for @{ 'PSubst $L $T1 $d $e $T2 }.
(* Unfold *******************************************************************)
-notation "hvbox( @ [ T1 ] break f ≡ break T2 )"
+notation "hvbox( @ [ T1 ] break term 46 f ≡ break term 46 T2 )"
non associative with precedence 45
for @{ 'RAt $T1 $f $T2 }.
-notation "hvbox( T1 ▭ break T2 ≡ break T )"
+notation "hvbox( T1 ▭ break term 46 T2 ≡ break term 46 T )"
non associative with precedence 45
for @{ 'RMinus $T1 $T2 $T }.
-notation "hvbox( ⇧ * [ e ] break T1 ≡ break T2 )"
+notation "hvbox( ⇧ * [ e ] break term 46 T1 ≡ break term 46 T2 )"
non associative with precedence 45
for @{ 'RLiftStar $e $T1 $T2 }.
-notation "hvbox( ⇩ * [ e ] break L1 ≡ break L2 )"
+notation "hvbox( ⇩ * [ e ] break term 46 L1 ≡ break term 46 L2 )"
non associative with precedence 45
for @{ 'RDropStar $e $L1 $L2 }.
-notation "hvbox( T1 break [ d , break e ] ▶* break T2 )"
+notation "hvbox( T1 break ▶ * [ d , break e ] break term 46 T2 )"
non associative with precedence 45
for @{ 'PSubstStar $T1 $d $e $T2 }.
-notation "hvbox( L ⊢ break term 90 T1 break [ d , break e ] ▶* break T2 )"
+notation "hvbox( L ⊢ break term 46 T1 break ▶ * [ d , break e ] break term 46 T2 )"
non associative with precedence 45
for @{ 'PSubstStar $L $T1 $d $e $T2 }.
-notation "hvbox( T1 break [ d , break e ] ≡ break T2 )"
+notation "hvbox( L ⊢ break term 46 T1 break ▶ ▶ * [ d , break e ] break term 46 T2 )"
+ non associative with precedence 45
+ for @{ 'PSubstStarAlt $L $T1 $d $e $T2 }.
+
+notation "hvbox( ▼ * [ d , break e ] break term 46 T1 ≡ break term 46 T2 )"
non associative with precedence 45
for @{ 'TSubst $T1 $d $e $T2 }.
-notation "hvbox( L ⊢ break term 90 T1 break [ d , break e ] ≡ break T2 )"
+notation "hvbox( L ⊢ break ▼ * [ d , break e ] break term 46 T1 ≡ break term 46 T2 )"
non associative with precedence 45
for @{ 'TSubst $L $T1 $d $e $T2 }.
-(* Static Typing ************************************************************)
+notation "hvbox( ▼ ▼ * [ d , break e ] break term 46 T1 ≡ break term 46 T2 )"
+ non associative with precedence 45
+ for @{ 'TSubstAlt $T1 $d $e $T2 }.
+
+notation "hvbox( L ⊢ break ▼ ▼ * [ d , break e ] break term 46 T1 ≡ break term 46 T2 )"
+ non associative with precedence 45
+ for @{ 'TSubstAlt $L $T1 $d $e $T2 }.
+
+(* Static typing ************************************************************)
-notation "hvbox( L ⊢ break term 90 T ÷ break A )"
+notation "hvbox( L ⊢ break term 46 T ⁝ break term 46 A )"
non associative with precedence 45
for @{ 'AtomicArity $L $T $A }.
-notation "hvbox( T1 ÷ ⊑ break T2 )"
+notation "hvbox( T1 ⁝ ⊑ break term 46 T2 )"
non associative with precedence 45
for @{ 'CrSubEqA $T1 $T2 }.
+notation "hvbox( ⦃ h , break L ⦄ ⊢ break term 46 T ÷ break term 46 A )"
+ non associative with precedence 45
+ for @{ 'BinaryArity $h $L $T $A }.
+
+notation "hvbox( h ⊢ break term 46 L1 ÷ ⊑ break term 46 L2 )"
+ non associative with precedence 45
+ for @{ 'CrSubEqB $h $L1 $L2 }.
+
+notation "hvbox( ⦃ h , break L ⦄ ⊢ break term 46 T1 • break [ g , break l ] break term 46 T2 )"
+ non associative with precedence 45
+ for @{ 'StaticType $h $g $l $L $T1 $T2 }.
+
+notation "hvbox( h ⊢ break term 46 L1 • ⊑ [ g ] break term 46 L2 )"
+ non associative with precedence 45
+ for @{ 'CrSubEqS $h $g $L1 $L2 }.
+
+(* Unwind *******************************************************************)
+
+notation "hvbox( L1 ⊢ ⧫* break term 46 T ≡ break term 46 L2 )"
+ non associative with precedence 45
+ for @{ 'Unwind $L1 $T $L2 }.
+
(* Reducibility *************************************************************)
-notation "hvbox( 𝐑 [ T ] )"
+notation "hvbox( 𝐑 ⦃ T ⦄ )"
non associative with precedence 45
for @{ 'Reducible $T }.
-notation "hvbox( L ⊢ break 𝐑 [ T ] )"
+notation "hvbox( L ⊢ break 𝐑 ⦃ T ⦄ )"
non associative with precedence 45
for @{ 'Reducible $L $T }.
-notation "hvbox( 𝐈 [ T ] )"
+notation "hvbox( 𝐈 ⦃ T ⦄ )"
non associative with precedence 45
for @{ 'NotReducible $T }.
-notation "hvbox( L ⊢ break 𝐈 [ T ] )"
+notation "hvbox( L ⊢ break 𝐈 ⦃ T ⦄ )"
non associative with precedence 45
for @{ 'NotReducible $L $T }.
-notation "hvbox( 𝐍 [ T ] )"
+notation "hvbox( 𝐍 ⦃ T ⦄ )"
non associative with precedence 45
for @{ 'Normal $T }.
-notation "hvbox( L ⊢ break 𝐍 [ T ] )"
+notation "hvbox( L ⊢ break 𝐍 ⦃ T ⦄ )"
non associative with precedence 45
for @{ 'Normal $L $T }.
-notation "hvbox( 𝐖𝐇𝐑 [ T ] )"
+notation "hvbox( 𝐖𝐇𝐑 ⦃ T ⦄ )"
non associative with precedence 45
for @{ 'WHdReducible $T }.
-notation "hvbox( L ⊢ break 𝐖𝐇𝐑 [ T ] )"
+notation "hvbox( L ⊢ break 𝐖𝐇𝐑 ⦃ T ⦄ )"
non associative with precedence 45
for @{ 'WHdReducible $L $T }.
-notation "hvbox( 𝐖𝐇𝐈 [ T ] )"
+notation "hvbox( 𝐖𝐇𝐈 ⦃ T ⦄ )"
non associative with precedence 45
for @{ 'NotWHdReducible $T }.
-notation "hvbox( L ⊢ break 𝐖𝐇𝐈 [ T ] )"
+notation "hvbox( L ⊢ break 𝐖𝐇𝐈 ⦃ T ⦄ )"
non associative with precedence 45
for @{ 'NotWHdReducible $L $T }.
-notation "hvbox( 𝐖𝐇𝐍 [ T ] )"
+notation "hvbox( 𝐖𝐇𝐍 ⦃ T ⦄ )"
non associative with precedence 45
for @{ 'WHdNormal $T }.
-notation "hvbox( L ⊢ break 𝐖𝐇𝐍 [ T ] )"
+notation "hvbox( L ⊢ break 𝐖𝐇𝐍 ⦃ T ⦄ )"
non associative with precedence 45
for @{ 'WHdNormal $L $T }.
-notation "hvbox( T1 ➡ break T2 )"
+notation "hvbox( T1 ➡ break term 46 T2 )"
non associative with precedence 45
for @{ 'PRed $T1 $T2 }.
-notation "hvbox( L ⊢ break term 90 T1 ➡ break T2 )"
+notation "hvbox( L ⊢ break term 46 T1 ➡ break term 46 T2 )"
non associative with precedence 45
for @{ 'PRed $L $T1 $T2 }.
-notation "hvbox( L1 ⊢ ➡ break L2 )"
+notation "hvbox( L1 ⊢ ➡ break term 46 L2 )"
non associative with precedence 45
for @{ 'CPRed $L1 $L2 }.
+notation "hvbox( ⦃ L1 ⦄ ➡ break ⦃ L2 ⦄ )"
+ non associative with precedence 45
+ for @{ 'FocalizedPRed $L1 $L2 }.
+
+notation "hvbox( ⦃ L1, break T1 ⦄ ➡ break ⦃ L2 , break T2 ⦄ )"
+ non associative with precedence 45
+ for @{ 'FocalizedPRed $L1 $T1 $L2 $T2 }.
+
+notation "hvbox( ⦃ h , break L ⦄ ⊢ break term 46 T1 ➸ break [ g ] break term 46 T2 )"
+ non associative with precedence 45
+ for @{ 'XPRed $h $g $L $T1 $T2 }.
+
(* Computation **************************************************************)
-notation "hvbox( T1 ➡* break T2 )"
+notation "hvbox( T1 ➡* break term 46 T2 )"
non associative with precedence 45
for @{ 'PRedStar $T1 $T2 }.
-notation "hvbox( L ⊢ break term 90 T1 ➡* break T2 )"
+notation "hvbox( L ⊢ break term 46 T1 ➡* break term 46 T2 )"
non associative with precedence 45
for @{ 'PRedStar $L $T1 $T2 }.
-notation "hvbox( L1 ⊢ ➡* break L2 )"
+notation "hvbox( L1 ⊢ ➡* break term 46 L2 )"
non associative with precedence 45
for @{ 'CPRedStar $L1 $L2 }.
-notation "hvbox( L ⊢ break term 90 T1 ➡* break 𝐍 [ T2 ] )"
+notation "hvbox( L ⊢ break term 46 T1 ➡* break 𝐍 ⦃ T2 ⦄ )"
non associative with precedence 45
for @{ 'PEval $L $T1 $T2 }.
-notation "hvbox( â¬\87 * T )"
+notation "hvbox( â¬\8a * term 46 T )"
non associative with precedence 45
for @{ 'SN $T }.
-notation "hvbox( L â\8a¢ â¬\87 * T )"
+notation "hvbox( L â\8a¢ â¬\8a * break term 46 T )"
non associative with precedence 45
for @{ 'SN $L $T }.
-notation "hvbox( L â\8a¢ â¬\87 * * T )"
+notation "hvbox( L â\8a¢ â¬\8a â¬\8a * break term 46 T )"
non associative with precedence 45
- for @{ 'SNStar $L $T }.
+ for @{ 'SNAlt $L $T }.
-notation "hvbox( ⦃ L, break T ⦄ break [ R ] ϵ break 〚 A 〛 )"
+notation "hvbox( ⦃ L, break T ⦄ ϵ break [ R ] break 〚 A 〛 )"
non associative with precedence 45
for @{ 'InEInt $R $L $T $A }.
-notation "hvbox( T1 break [ R ] ⊑ break T2 )"
+notation "hvbox( T1 ⊑ break [ R ] break term 46 T2 )"
non associative with precedence 45
for @{ 'CrSubEq $T1 $R $T2 }.
+notation "hvbox( ⦃ h , break L ⦄ ⊢ break term 46 T1 ➸ * break [ g ] break term 46 T2 )"
+ non associative with precedence 45
+ for @{ 'XPRedStar $h $g $L $T1 $T2 }.
+
+notation "hvbox( ⦃ h , break L ⦄ ⊢ ➷ * break [ g ] break term 46 T2 )"
+ non associative with precedence 45
+ for @{ 'XSN $h $g $L $T }.
+
(* Conversion ***************************************************************)
-notation "hvbox( L ⊢ break term 90 T1 ⬌ break T2 )"
+notation "hvbox( L ⊢ break term 46 T1 ⬌ break term 46 T2 )"
non associative with precedence 45
for @{ 'PConv $L $T1 $T2 }.
-notation "hvbox( T1 â¬\8c break T2 )"
+notation "hvbox( T1 â\8a¢ â¬\8c break term 46 T2 )"
non associative with precedence 45
- for @{ 'PConv $T1 $T2 }.
+ for @{ 'CPConv $T1 $T2 }.
(* Equivalence **************************************************************)
-notation "hvbox( L ⊢ break term 90 T1 ⬌* break T2 )"
+notation "hvbox( L ⊢ break term 46 T1 ⬌* break term 46 T2 )"
non associative with precedence 45
for @{ 'PConvStar $L $T1 $T2 }.
-notation "hvbox( T1 ⬌* break T2 )"
+notation "hvbox( T1 ⊢ ⬌* break term 46 T2 )"
+ non associative with precedence 45
+ for @{ 'CPConvStar $T1 $T2 }.
+
+(* Dynamic typing ***********************************************************)
+
+notation "hvbox( ⦃ h , break L ⦄ ⊩ break term 46 T : break [ g ] )"
+ non associative with precedence 45
+ for @{ 'NativeValid $h $g $L $T }.
+
+notation "hvbox( ⦃ h , break L ⦄ ⊢ break term 46 T1 : break term 46 T2 )"
+ non associative with precedence 45
+ for @{ 'NativeType $h $L $T1 $T2 }.
+
+notation "hvbox( ⦃ h , break L ⦄ ⊢ break term 46 T1 : : break term 46 T2 )"
+ non associative with precedence 45
+ for @{ 'NativeTypeAlt $h $L $T1 $T2 }.
+
+(* Higher order dynamic typing **********************************************)
+
+notation "hvbox( ⦃ h , break L ⦄ ⊢ break term 46 T1 : * break term 46 T2 )"
non associative with precedence 45
- for @{ 'PConvStar $T1 $T2 }.
+ for @{ 'NativeTypeStar $h $L $T1 $T2 }.
projects / helm.git / blobdiff