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-rw-r--r--spec/evaluate.md6
-rw-r--r--spec/grammar.md6
-rw-r--r--spec/system.md2
3 files changed, 4 insertions, 10 deletions
diff --git a/spec/evaluate.md b/spec/evaluate.md
index a1c4ef43..c991e3c6 100644
--- a/spec/evaluate.md
+++ b/spec/evaluate.md
@@ -49,12 +49,10 @@ In each case the constituent expressions are evaluated in reverse source order:
Modifiers that are evaluated when they receive operands are called *immediate*. Other modifiers, including primitives and some kinds of block, simply record the operands and are called *deferred*. The result of applying a deferred modifier once is called a *derived function*.
-The following rules always create *derived operations*, either 1-modifiers or derived functions. A derived operation is identified by the rule that created it, and the values of its parts.
+The rules for trains create another kind of derived function. A derived function is identified by the rule that created it, and the values of its parts.
| Left | Center | Right | Result
|------------|-----------|-----------------------|--------------
-| | `_mod2_` | `( subject \| Func )` | `{š”½ _C_ R}`
-| `Operand` | `_mod2_` | | `{L _C_ š”½}`
| `Operand` | `Derv` | `Fork` | `{(š•ØLš•©)C(š•ØRš•©)}`
| `nothing?` | `Derv` | `Fork` | `{ C(š•ØRš•©)}`
-As with applications, all expressions are evaluated in reverse source order before doing anything else. Then a result is formed without calling the center value. Its behavior as a function is described in the rightmost column, using `L`, `C`, and `R` for the results of the expressions in the left, center, and right columns, respectively. For the first two rules (*partial application*), the given operand is bound to the 2-modifier: the result is a 1-modifier that, when called, calls the center 2-modifier with the bound operand on the same side it appeared on and the new operand on the remaining side. A *train* is a function that, when called, calls the right-hand function on all arguments, then the left-hand function, and calls the center function with these results as arguments.
+A *train* is a function that, when called, calls the right-hand function on all arguments, then the left-hand function, and calls the center function with these results as arguments. As with applications, all expressions are evaluated in reverse source order before doing anything else. Then a result is formed without calling the center value. Its behavior as a function is described in the rightmost column, using `L`, `C`, and `R` for the results of the expressions in the left, center, and right columns, respectively.
diff --git a/spec/grammar.md b/spec/grammar.md
index b672243e..dfe7f9c2 100644
--- a/spec/grammar.md
+++ b/spec/grammar.md
@@ -24,17 +24,15 @@ Here we define the "atomic" forms of functions and modifiers, which are either s
list = "⟨" ā‹„? ( ( EXPR ā‹„ )* EXPR ā‹„? )? "⟩"
subject = atom | ANY ( "‿" ANY )+
-Starting at the highest-order objects, modifiers have fairly simple syntax. In most cases the syntax for `←` and `↩` is the same, but only `↩` can be used for modified assignment. The export arrow `⇐` can be used in the same ways as `←`, but it can also be used at the beginning of a header to force a namespace result, or with no expression on the right in an `EXPORT` statement.
+Starting at the highest-order objects, modifiers have simple syntax. In most cases the syntax for `←` and `↩` is the same, but only `↩` can be used for modified assignment. The export arrow `⇐` can be used in the same ways as `←`, but it can also be used at the beginning of a header to force a namespace result, or with no expression on the right in an `EXPORT` statement.
ASGN = "←" | "⇐" | "↩"
_m2Expr_ = _mod2_
| _c_ ASGN _m2Expr_
_m1Expr = _mod1
- | _mod2_ ( subject | Func ) # Right partial application
- | Operand _mod2_ # Left partial application
| _m ASGN _m1Expr
-Functions can be formed by fully applying modifiers or as trains. Modifiers are left-associative, so that the left operand (`Operand`) can include modifier applications but the right operand (`subject | Func`) cannot. Trains are right-associative, but bind less tightly than modifiers. Assignment is not allowed in the top level of a train: it must be parenthesized.
+Functions can be formed by applying modifiers, or with trains. Modifiers are left-associative, so that the left operand (`Operand`) can include modifier applications but the right operand (`subject | Func`) cannot. Trains are right-associative, but bind less tightly than modifiers. Assignment is not allowed in the top level of a train: it must be parenthesized.
Derv = Func
| Operand _mod1
diff --git a/spec/system.md b/spec/system.md
index 872126c3..6567f341 100644
--- a/spec/system.md
+++ b/spec/system.md
@@ -198,8 +198,6 @@ Each function in this section is monadic.
| 3-train | 3 | `f,g,h`
| 1-mod | 4 | `š•—,š•£`
| 2-mod | 5 | `š•—,š•£,š•˜`
-| Left partial | 6 | `š•—,š•£`
-| Right partial | 7 | ` š•£,š•˜`
## Time