[spec] Correct use of opdtype and stacktype (#1524)

Author: rossberg

document/core/valid/instructions.rst

@@ -48,7 +48,7 @@ This is extended to stack types in a point-wise manner.
    consuming two |I32| values and producing one.
 
 Typing extends to :ref:`instruction sequences <valid-instr-seq>` :math:`\instr^\ast`.
-Such a sequence has a :ref:`function type <syntax-functype>` :math:`[t_1^\ast] \to [t_2^\ast]` if the accumulative effect of executing the instructions is consuming values of types :math:`t_1^\ast` off the operand stack and pushing new values of types :math:`t_2^\ast`.
+Such a sequence has a :ref:`stack type <syntax-stacktype>` :math:`[t_1^\ast] \to [t_2^\ast]` if the accumulative effect of executing the instructions is consuming values of types :math:`t_1^\ast` off the operand stack and pushing new values of types :math:`t_2^\ast`.
 
 .. _polymorphism:
 
@@ -63,7 +63,7 @@ Two degrees of polymorphism can be distinguished:
 
 
 * *stack-polymorphic*:
-  the entire (or most of the) :ref:`function type <syntax-functype>` :math:`[t_1^\ast] \to [t_2^\ast]` of the instruction is unconstrained.
+  the entire (or most of the) :ref:`stack type <syntax-stacktype>` :math:`[t_1^\ast] \to [t_2^\ast]` of the instruction is unconstrained.
   That is the case for all :ref:`control instructions <valid-instr-control>` that perform an *unconditional control transfer*, such as |UNREACHABLE|, |BR|, |BRTABLE|, and |RETURN|.
 
 In both cases, the unconstrained types or type sequences can be chosen arbitrarily, as long as they meet the constraints imposed for the surrounding parts of the program.
@@ -81,7 +81,7 @@ In both cases, the unconstrained types or type sequences can be chosen arbitrari
 
    are valid, with :math:`t` in the typing of |SELECT| being instantiated to |I32| or |F64|, respectively.
 
-   The |UNREACHABLE| instruction is valid with type :math:`[t_1^\ast] \to [t_2^\ast]` for any possible sequences of value types :math:`t_1^\ast` and :math:`t_2^\ast`.
+   The |UNREACHABLE| instruction is valid with type :math:`[t_1^\ast] \to [t_2^\ast]` for any possible sequences of :ref:`operand types <syntax-opdtype>` :math:`t_1^\ast` and :math:`t_2^\ast`.
    Consequently,
 
    .. math::
@@ -258,7 +258,7 @@ Reference Instructions
 Vector Instructions
 ~~~~~~~~~~~~~~~~~~~
 
-Vector instructions can have a prefix to describe the :ref:`shape <syntax-vec-shape>` of the operand. Packed numeric types, |I8| and |I16|, are not :ref:`value type <syntax-valtype>`, we define an auxiliary function to map such packed types into value types:
+Vector instructions can have a prefix to describe the :ref:`shape <syntax-vec-shape>` of the operand. Packed numeric types, |I8| and |I16|, are not :ref:`value types <syntax-valtype>`. An auxiliary function maps such packed types to value types:
 
 .. math::
    \begin{array}{lll@{\qquad}l}
@@ -598,7 +598,7 @@ Parametric Instructions
 :math:`\DROP`
 .............
 
-* The instruction is valid with type :math:`[t] \to []`, for any :ref:`value type <syntax-valtype>` :math:`t`.
+* The instruction is valid with type :math:`[t] \to []`, for any :ref:`operand type <syntax-opdtype>` :math:`t`.
 
 .. math::
    \frac{
@@ -1262,7 +1262,7 @@ Control Instructions
 :math:`\UNREACHABLE`
 ....................
 
-* The instruction is valid with type :math:`[t_1^\ast] \to [t_2^\ast]`, for any sequences of :ref:`value types <syntax-valtype>` :math:`t_1^\ast` and :math:`t_2^\ast`.
+* The instruction is valid with type :math:`[t_1^\ast] \to [t_2^\ast]`, for any sequences of :ref:`operand types <syntax-opdtype>` :math:`t_1^\ast` and :math:`t_2^\ast`.
 
 .. math::
    \frac{
@@ -1369,7 +1369,7 @@ Control Instructions
 
 * Let :math:`[t^\ast]` be the :ref:`result type <syntax-resulttype>` :math:`C.\CLABELS[l]`.
 
-* Then the instruction is valid with type :math:`[t_1^\ast~t^\ast] \to [t_2^\ast]`, for any sequences of :ref:`value types <syntax-valtype>` :math:`t_1^\ast` and :math:`t_2^\ast`.
+* Then the instruction is valid with type :math:`[t_1^\ast~t^\ast] \to [t_2^\ast]`, for any sequences of :ref:`operand types <syntax-opdtype>` :math:`t_1^\ast` and :math:`t_2^\ast`.
 
 .. math::
    \frac{
@@ -1417,14 +1417,14 @@ Control Instructions
 * For all :math:`l_i` in :math:`l^\ast`,
   the label :math:`C.\CLABELS[l_i]` must be defined in the context.
 
-* There must be a :ref:`result type <syntax-resulttype>` :math:`[t^\ast]`, such that:
+* There must be a sequence :math:`t^\ast` of :ref:`operand types <syntax-opdtype>`, such that:
 
   * For each :ref:`operand type <syntax-opdtype>` :math:`t_j` in :math:`t^\ast` and corresponding type :math:`t'_{Nj}` in :math:`C.\CLABELS[l_N]`, :math:`t_j` :ref:`matches <match-opdtype>` :math:`t'_{Nj}`.
 
   * For all :math:`l_i` in :math:`l^\ast`,
     and for each :ref:`operand type <syntax-opdtype>` :math:`t_j` in :math:`t^\ast` and corresponding type :math:`t'_{ij}` in :math:`C.\CLABELS[l_i]`, :math:`t_j` :ref:`matches <match-opdtype>` :math:`t'_{ij}`.
 
-* Then the instruction is valid with type :math:`[t_1^\ast~t^\ast~\I32] \to [t_2^\ast]`, for any sequences of :ref:`value types <syntax-valtype>` :math:`t_1^\ast` and :math:`t_2^\ast`.
+* Then the instruction is valid with type :math:`[t_1^\ast~t^\ast~\I32] \to [t_2^\ast]`, for any sequences of :ref:`operand types <syntax-opdtype>` :math:`t_1^\ast` and :math:`t_2^\ast`.
 
 .. math::
    \frac{
@@ -1450,7 +1450,7 @@ Control Instructions
 
 * Let :math:`[t^\ast]` be the :ref:`result type <syntax-resulttype>` of :math:`C.\CRETURN`.
 
-* Then the instruction is valid with type :math:`[t_1^\ast~t^\ast] \to [t_2^\ast]`, for any sequences of :ref:`value types <syntax-valtype>` :math:`t_1^\ast` and :math:`t_2^\ast`.
+* Then the instruction is valid with type :math:`[t_1^\ast~t^\ast] \to [t_2^\ast]`, for any sequences of :ref:`operand types <syntax-opdtype>` :math:`t_1^\ast` and :math:`t_2^\ast`.
 
 .. math::
    \frac{
@@ -1537,12 +1537,12 @@ Non-empty Instruction Sequence: :math:`\instr^\ast~\instr_N`
 ............................................................
 
 * The instruction sequence :math:`\instr^\ast` must be valid with type :math:`[t_1^\ast] \to [t_2^\ast]`,
-  for some sequences of :ref:`value types <syntax-valtype>` :math:`t_1^\ast` and :math:`t_2^\ast`.
+  for some sequences of :ref:`operand types <syntax-opdtype>` :math:`t_1^\ast` and :math:`t_2^\ast`.
 
 * The instruction :math:`\instr_N` must be valid with type :math:`[t^\ast] \to [t_3^\ast]`,
-  for some sequences of :ref:`value types <syntax-valtype>` :math:`t^\ast` and :math:`t_3^\ast`.
+  for some sequences of :ref:`operand types <syntax-opdtype>` :math:`t^\ast` and :math:`t_3^\ast`.
 
-* There must be a sequence of :ref:`value types <syntax-valtype>` :math:`t_0^\ast`,
+* There must be a sequence of :ref:`operand types <syntax-opdtype>` :math:`t_0^\ast`,
   such that :math:`t_2^\ast = t_0^\ast~{t'}^\ast` where the type sequence :math:`{t'}^\ast` is as long as :math:`t^\ast`.
 
 * For each :ref:`operand type <syntax-opdtype>` :math:`t'_i` in :math:`{t'}^\ast` and corresponding type :math:`t_i` in :math:`t^\ast`, :math:`t'_i` :ref:`matches <match-opdtype>` :math:`t_i`.