I$\text{'}$m working on a project in Plait, a sublanguage of Racket, and I need to create a language that validates phone numbers. It's imperative that types should are defined using define$-$type and leveraged within the language's functions.

The phone numbers should be in the format $"$xxx$-$xxx$-$xxxx$"$ where the area code is either $"787"$ or $"939".$ However, Plait doesn't support regular expressions directly.

How can I validate these phone numbers without utilizing regex?

This is my current code:

#lang plait

;; Define a type for a single digit $(0-9)$

type digit $=0|1|2|3|4|5|6|7|8|9$

;; Define a type for three digits $($a sequence of $3$ digits$)$

type three$-$digits $=[$digit digit digit$]$

;; Define a type for four digits $($a sequence of $4$ digits$)$

type four$-$digits $=[$digit digit digit digit$]$

;; Define a type for the area code $(787$ or $939)$

type area$-$code $=787|939$

;; Define a type for the phone number $($format: xxx$-$xxx$-$XXXX$)$

$($define$-$type $($phone$-$number$)($String$))$

;; Function to validate the phone number

$($:: validate$-$phone$-$number $($String $->$ Boolean$))$

$($define $($validate$-$phone$-$number phone$)$

$($define phone$-$pattern $($regexp $"^\backslash \backslash (787\backslash \backslash |939\backslash \backslash )-[0-9]\{3\}-[0-9]\{4\}$$$"))$

$($regexp$-$match? phone$-$pattern phone$))$

;; Test cases Welcome to DrRacket, version $8\mathrm{.}12[cs].$

Language: plait, with debugging; memory limit: $128MB.$

$($validate$-$phone$-$number $"787-123-4567")$ ;; should return #t $($true$)$

$($validate$-$phone$-$number $"939-987-6543")$ ;; should return #t $($true$)$

$($validate$-$phone$-$number $"800-123-4567")$ ;; should return #f $($false$)$

$($validate$-$phone$-$number $"787-12-4567")$ ;; should return #f $($false$)$

The following error occurs when validating the phone number:

define: bad syntax in: $($define $($validate$-$phone$-$number phone$)($define phone$-$pattern $($regexp $"^\backslash (787\backslash |939\backslash )-[0-9]\{3\}-[0-9]\{4\}$$$"))($regexp$-$match? phone$-$pattern phone$))$