ダニエルの答えは良いです。アクティブなパターンで構築された単純なトップダウン パーサーと共に、同様のアプローチを次に示します。
type BinOp = | And | Or
type Comparison = | Gt | Eq
type Expr =
| BinOp of BinOp * Expr * Expr
| Comp of Comparison * string * int
module private Parsing =
// recognize and strip a leading literal
let (|Lit|_|) lit (s:string) =
if s.StartsWith(lit) then Some(s.Substring lit.Length)
else None
// strip leading whitespace
let (|NoWs|) (s:string) =
s.TrimStart(' ', '\t', '\r', '\n')
// parse a binary operator
let (|BinOp|_|) = function
| Lit "AND" r -> Some(And, r)
| Lit "OR" r -> Some(Or, r)
| _ -> None
// parse a comparison operator
let (|Comparison|_|) = function
| Lit "GT" r -> Some(Gt, r)
| Lit "EQ" r -> Some(Eq, r)
| _ -> None
// parse a variable (alphabetical characters only)
let (|Var|_|) s =
let m = System.Text.RegularExpressions.Regex.Match(s, "^[a-zA-Z]+")
if m.Success then
Some(m.Value, s.Substring m.Value.Length)
else
None
// parse an integer
let (|Int|_|) s =
let m = System.Text.RegularExpressions.Regex.Match(s, @"^-?\d+")
if m.Success then
Some(int m.Value, s.Substring m.Value.Length)
else
None
// parse an expression
let rec (|Expr|_|) = function
| NoWs (Lit "(" (BinOp (b, Expr(e1, Expr(e2, Lit ")" rest))))) ->
Some(BinOp(b, e1, e2), rest)
| NoWs (Lit "(" (Comparison (c, NoWs (Var (v, NoWs (Int (i, Lit ")" rest))))))) ->
Some(Comp(c, v, i), rest)
| _ -> None
let parse = function
| Parsing.Expr(e, "") -> e
| s -> failwith (sprintf "Not a valid expression: %s" s)
let e = parse @"
(AND (OR (EQ X 0)
(GT X 10))
(OR (EQ Y 0)
(GT Y 10)))"