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The Syntax Of Wolfram Language Expressions

requires "khp-real.k"
module WOLFRAMLANGUAGE-SYNTAX
    imports REAL-SYNTAX
    imports ID
    imports STRING

    syntax FullFormExpressionConst ::= "True"  [token]
                                     | "Reals" [token]

    syntax FullFormExpression ::= Id
                                | FullFormExpressionConst
                                | Real
                                | Operator "[" FullFormExpressions "]"

    syntax FullFormExpressions ::= List{FullFormExpression, ","}

    syntax Operator ::= "Plus"         [token]
                      | "Minus"        [token]
                      | "Subtract"     [token]
                      | "Times"        [token]
                      | "Divide"       [token]
                      | "Exponent"     [token]
                      | "Greater"      [token]
                      | "GreaterEqual" [token]
                      | "Less"         [token]
                      | "LessEqual"    [token]
                      | "Equal"        [token]
                      | "And"          [token]
                      | "Implies"      [token]
                      | "ForAll"       [token]
                      | "Resolve"      [token]
                      | "Echo"         [token]
                      | "FullForm"     [token]
		      | "Exists"       [token]


endmodule

module WOLFRAMLANGUAGE
    imports WOLFRAMLANGUAGE-SYNTAX

    syntax String ::= "Operator2String" "(" Operator ")"                            [function, hook(STRING.token2string)]
                    | "Const2String" "(" FullFormExpressionConst ")"                [function, hook(STRING.token2string)]
                    | "#wolfram.expressionToString"    "(" FullFormExpression ")"   [function]
                    | "#wolfram.expressionToStringAux" "(" FullFormExpressions ")"  [function]

    rule #wolfram.expressionToString(ID:Id) => Id2String(ID)
    rule #wolfram.expressionToString(REAL:RealVal) => Real2String(REAL)
    rule #wolfram.expressionToString(C:FullFormExpressionConst) => Const2String(C)

    rule #wolfram.expressionToStringAux( E1:FullFormExpression
                                       , E2:FullFormExpression
                                       , Es:FullFormExpressions )
      => #wolfram.expressionToString(E1) +String ", " +String #wolfram.expressionToStringAux(E2,Es)

    rule #wolfram.expressionToStringAux(E1:FullFormExpression, .FullFormExpressions)
      => #wolfram.expressionToString(E1)

    rule #wolfram.expressionToString(OP:Operator [ EXPRS:FullFormExpressions ])
      => Operator2String(OP)
         +String "[" +String #wolfram.expressionToStringAux(EXPRS) +String "]"

endmodule