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2 changes: 1 addition & 1 deletion specification/wasm-3.0/1.2-syntax.types.spectec
Original file line number Diff line number Diff line change
Expand Up @@ -421,7 +421,7 @@ def $subst_externtype((TAG jt), tv*, tu*) = TAG $subst_tagtype(jt, tv*, tu*)
def $subst_externtype((GLOBAL gt), tv*, tu*) = GLOBAL $subst_globaltype(gt, tv*, tu*)
def $subst_externtype((TABLE tt), tv*, tu*) = TABLE $subst_tabletype(tt, tv*, tu*)
def $subst_externtype((MEM mt), tv*, tu*) = MEM $subst_memtype(mt, tv*, tu*)
def $subst_externtype((FUNC dt), tv*, tu*) = FUNC $subst_deftype(dt, tv*, tu*)
def $subst_externtype((FUNC tu'), tv*, tu*) = FUNC $subst_typeuse(tu', tv*, tu*)

def $subst_moduletype(xt_1* -> xt_2*, tv*, tu*) = $subst_externtype(xt_1, tv*, tu*)* -> $subst_externtype(xt_2, tv*, tu*)*

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2 changes: 1 addition & 1 deletion specification/wasm-latest/1.2-syntax.types.spectec
Original file line number Diff line number Diff line change
Expand Up @@ -421,7 +421,7 @@ def $subst_externtype((TAG jt), tv*, tu*) = TAG $subst_tagtype(jt, tv*, tu*)
def $subst_externtype((GLOBAL gt), tv*, tu*) = GLOBAL $subst_globaltype(gt, tv*, tu*)
def $subst_externtype((TABLE tt), tv*, tu*) = TABLE $subst_tabletype(tt, tv*, tu*)
def $subst_externtype((MEM mt), tv*, tu*) = MEM $subst_memtype(mt, tv*, tu*)
def $subst_externtype((FUNC dt), tv*, tu*) = FUNC $subst_deftype(dt, tv*, tu*)
def $subst_externtype((FUNC tu'), tv*, tu*) = FUNC $subst_typeuse(tu', tv*, tu*)

def $subst_moduletype(xt_1* -> xt_2*, tv*, tu*) = $subst_externtype(xt_1, tv*, tu*)* -> $subst_externtype(xt_2, tv*, tu*)*

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2 changes: 1 addition & 1 deletion spectec/test-frontend/TEST.md
Original file line number Diff line number Diff line change
Expand Up @@ -1281,7 +1281,7 @@ def $subst_externtype(externtype : externtype, typevar*, typeuse*) : externtype
;; ../../../../specification/wasm-latest/1.2-syntax.types.spectec
def $subst_externtype{mt : memtype, `tv*` : typevar*, `tu*` : typeuse*}(MEM_externtype(mt), tv*{tv <- `tv*`}, tu*{tu <- `tu*`}) = MEM_externtype($subst_memtype(mt, tv*{tv <- `tv*`}, tu*{tu <- `tu*`}))
;; ../../../../specification/wasm-latest/1.2-syntax.types.spectec
def $subst_externtype{dt : deftype, `tv*` : typevar*, `tu*` : typeuse*}(FUNC_externtype((dt : deftype <: typeuse)), tv*{tv <- `tv*`}, tu*{tu <- `tu*`}) = FUNC_externtype(($subst_deftype(dt, tv*{tv <- `tv*`}, tu*{tu <- `tu*`}) : deftype <: typeuse))
def $subst_externtype{tu' : typeuse, `tv*` : typevar*, `tu*` : typeuse*}(FUNC_externtype(tu'), tv*{tv <- `tv*`}, tu*{tu <- `tu*`}) = FUNC_externtype($subst_typeuse(tu', tv*{tv <- `tv*`}, tu*{tu <- `tu*`}))

;; ../../../../specification/wasm-latest/1.2-syntax.types.spectec
def $subst_moduletype(moduletype : moduletype, typevar*, typeuse*) : moduletype
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2 changes: 1 addition & 1 deletion spectec/test-latex/TEST.md
Original file line number Diff line number Diff line change
Expand Up @@ -3341,7 +3341,7 @@ $$
{(\mathsf{global}~{\mathit{gt}})}{{}[ {{\mathit{tv}}^\ast} := {{\mathit{tu}}^\ast} ]} & = & \mathsf{global}~{{\mathit{gt}}}{{}[ {{\mathit{tv}}^\ast} := {{\mathit{tu}}^\ast} ]} \\
{(\mathsf{table}~{\mathit{tt}})}{{}[ {{\mathit{tv}}^\ast} := {{\mathit{tu}}^\ast} ]} & = & \mathsf{table}~{{\mathit{tt}}}{{}[ {{\mathit{tv}}^\ast} := {{\mathit{tu}}^\ast} ]} \\
{(\mathsf{mem}~{\mathit{mt}})}{{}[ {{\mathit{tv}}^\ast} := {{\mathit{tu}}^\ast} ]} & = & \mathsf{mem}~{{\mathit{mt}}}{{}[ {{\mathit{tv}}^\ast} := {{\mathit{tu}}^\ast} ]} \\
{(\mathsf{func}~{\mathit{dt}})}{{}[ {{\mathit{tv}}^\ast} := {{\mathit{tu}}^\ast} ]} & = & \mathsf{func}~{{\mathit{dt}}}{{}[ {{\mathit{tv}}^\ast} := {{\mathit{tu}}^\ast} ]} \\
{(\mathsf{func}~{\mathit{tu}'})}{{}[ {{\mathit{tv}}^\ast} := {{\mathit{tu}}^\ast} ]} & = & \mathsf{func}~{{\mathit{tu}'}}{{}[ {{\mathit{tv}}^\ast} := {{\mathit{tu}}^\ast} ]} \\
\end{array}
$$

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6 changes: 3 additions & 3 deletions spectec/test-middlend/TEST.md
Original file line number Diff line number Diff line change
Expand Up @@ -1271,7 +1271,7 @@ def $subst_externtype(externtype : externtype, typevar*, typeuse*) : externtype
;; ../../../../specification/wasm-latest/1.2-syntax.types.spectec
def $subst_externtype{mt : memtype, `tv*` : typevar*, `tu*` : typeuse*}(MEM_externtype(mt), tv*{tv <- `tv*`}, tu*{tu <- `tu*`}) = MEM_externtype($subst_memtype(mt, tv*{tv <- `tv*`}, tu*{tu <- `tu*`}))
;; ../../../../specification/wasm-latest/1.2-syntax.types.spectec
def $subst_externtype{dt : deftype, `tv*` : typevar*, `tu*` : typeuse*}(FUNC_externtype((dt : deftype <: typeuse)), tv*{tv <- `tv*`}, tu*{tu <- `tu*`}) = FUNC_externtype(($subst_deftype(dt, tv*{tv <- `tv*`}, tu*{tu <- `tu*`}) : deftype <: typeuse))
def $subst_externtype{tu' : typeuse, `tv*` : typevar*, `tu*` : typeuse*}(FUNC_externtype(tu'), tv*{tv <- `tv*`}, tu*{tu <- `tu*`}) = FUNC_externtype($subst_typeuse(tu', tv*{tv <- `tv*`}, tu*{tu <- `tu*`}))

;; ../../../../specification/wasm-latest/1.2-syntax.types.spectec
def $subst_moduletype(moduletype : moduletype, typevar*, typeuse*) : moduletype
Expand Down Expand Up @@ -12683,7 +12683,7 @@ def $subst_externtype(externtype : externtype, typevar*, typeuse*) : externtype
;; ../../../../specification/wasm-latest/1.2-syntax.types.spectec
def $subst_externtype{mt : memtype, `tv*` : typevar*, `tu*` : typeuse*}(MEM_externtype(mt), tv*{tv <- `tv*`}, tu*{tu <- `tu*`}) = MEM_externtype($subst_memtype(mt, tv*{tv <- `tv*`}, tu*{tu <- `tu*`}))
;; ../../../../specification/wasm-latest/1.2-syntax.types.spectec
def $subst_externtype{dt : deftype, `tv*` : typevar*, `tu*` : typeuse*}(FUNC_externtype((dt : deftype <: typeuse)), tv*{tv <- `tv*`}, tu*{tu <- `tu*`}) = FUNC_externtype(($subst_deftype(dt, tv*{tv <- `tv*`}, tu*{tu <- `tu*`}) : deftype <: typeuse))
def $subst_externtype{tu' : typeuse, `tv*` : typevar*, `tu*` : typeuse*}(FUNC_externtype(tu'), tv*{tv <- `tv*`}, tu*{tu <- `tu*`}) = FUNC_externtype($subst_typeuse(tu', tv*{tv <- `tv*`}, tu*{tu <- `tu*`}))

;; ../../../../specification/wasm-latest/1.2-syntax.types.spectec
def $subst_moduletype(moduletype : moduletype, typevar*, typeuse*) : moduletype
Expand Down Expand Up @@ -24097,7 +24097,7 @@ def $subst_externtype(externtype : externtype, typevar*, typeuse*) : externtype
;; ../../../../specification/wasm-latest/1.2-syntax.types.spectec
def $subst_externtype{mt : memtype, `tv*` : typevar*, `tu*` : typeuse*}(MEM_externtype(mt), tv*{tv <- `tv*`}, tu*{tu <- `tu*`}) = MEM_externtype($subst_memtype(mt, tv*{tv <- `tv*`}, tu*{tu <- `tu*`}))
;; ../../../../specification/wasm-latest/1.2-syntax.types.spectec
def $subst_externtype{dt : deftype, `tv*` : typevar*, `tu*` : typeuse*}(FUNC_externtype((dt : deftype <: typeuse)), tv*{tv <- `tv*`}, tu*{tu <- `tu*`}) = FUNC_externtype(($subst_deftype(dt, tv*{tv <- `tv*`}, tu*{tu <- `tu*`}) : deftype <: typeuse))
def $subst_externtype{tu' : typeuse, `tv*` : typevar*, `tu*` : typeuse*}(FUNC_externtype(tu'), tv*{tv <- `tv*`}, tu*{tu <- `tu*`}) = FUNC_externtype($subst_typeuse(tu', tv*{tv <- `tv*`}, tu*{tu <- `tu*`}))

;; ../../../../specification/wasm-latest/1.2-syntax.types.spectec
def $subst_moduletype(moduletype : moduletype, typevar*, typeuse*) : moduletype
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8 changes: 4 additions & 4 deletions spectec/test-prose/TEST.md
Original file line number Diff line number Diff line change
Expand Up @@ -22321,9 +22321,9 @@ The instruction sequence :math:`(\mathsf{block}~{\mathit{blocktype}}~{{\mathit{i

#. Assert: Due to validation, :math:`{\mathit{externtype}}` is some :math:`\mathsf{func}~{\mathit{typeuse}}`.

#. Let :math:`(\mathsf{func}~{\mathit{dt}})` be the destructuring of :math:`{\mathit{externtype}}`.
#. Let :math:`(\mathsf{func}~{\mathit{tu}'})` be the destructuring of :math:`{\mathit{externtype}}`.

#. Return :math:`(\mathsf{func}~{{\mathit{dt}}}{{}[ {{\mathit{tv}}^\ast} := {{\mathit{tu}}^\ast} ]})`.
#. Return :math:`(\mathsf{func}~{{\mathit{tu}'}}{{}[ {{\mathit{tv}}^\ast} := {{\mathit{tu}}^\ast} ]})`.


:math:`{{{\mathit{xt}}_1^\ast}~\rightarrow~{{\mathit{xt}}_2^\ast}}{{}[ {{\mathit{tv}}^\ast} := {{\mathit{tu}}^\ast} ]}`
Expand Down Expand Up @@ -31066,8 +31066,8 @@ subst_externtype externtype tv* tu*
a. Let (MEM mt) be externtype.
b. Return (MEM $subst_memtype(mt, tv*, tu*)).
5. Assert: Due to validation, externtype is some FUNC.
6. Let (FUNC dt) be externtype.
7. Return (FUNC $subst_deftype(dt, tv*, tu*)).
6. Let (FUNC tu') be externtype.
7. Return (FUNC $subst_typeuse(tu', tv*, tu*)).

subst_moduletype xt_1* -> xt_2* tv* tu*
1. Return $subst_externtype(xt_1, tv*, tu*)* -> $subst_externtype(xt_2, tv*, tu*)*.
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