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• Std/basic

Organize-symbols-by-name

Organize a list of symbols by their names.

Signature

(organize-symbols-by-name syms) → syms-by-name

Arguments

syms — Guard (symbol-listp syms).

Returns

syms-by-name — Type (string-symbollist-alistp syms-by-name), given the guard.

The result is an alist from symbol names (strings) to the non-empty lists of the symbols that have the respective names.

The alist has unique keys, and each of its values has no duplicates.

Definitions and Theorems

Function: organize-symbols-by-name-aux

(defun organize-symbols-by-name-aux (syms acc)
  (declare (xargs :guard (and (symbol-listp syms)
                              (string-symbollist-alistp acc))))
  (let ((__function__ 'organize-symbols-by-name-aux))
    (declare (ignorable __function__))
    (b* (((when (endp syms)) acc)
         (sym (car syms))
         (name (symbol-name sym))
         (prev-syms-for-name (cdr (assoc-equal name acc))))
      (organize-symbols-by-name-aux
           (cdr syms)
           (put-assoc-equal name
                            (add-to-set-eq sym prev-syms-for-name)
                            acc)))))

Theorem: string-symbollist-alistp-of-organize-symbols-by-name-aux

(defthm string-symbollist-alistp-of-organize-symbols-by-name-aux
  (implies
       (and (symbol-listp syms)
            (string-symbollist-alistp acc))
       (b* ((syms-by-name (organize-symbols-by-name-aux syms acc)))
         (string-symbollist-alistp syms-by-name)))
  :rule-classes :rewrite)

Function: organize-symbols-by-name

(defun organize-symbols-by-name (syms)
  (declare (xargs :guard (symbol-listp syms)))
  (let ((__function__ 'organize-symbols-by-name))
    (declare (ignorable __function__))
    (organize-symbols-by-name-aux syms nil)))

Theorem: string-symbollist-alistp-of-organize-symbols-by-name

(defthm string-symbollist-alistp-of-organize-symbols-by-name
  (implies (and (symbol-listp syms))
           (b* ((syms-by-name (organize-symbols-by-name syms)))
             (string-symbollist-alistp syms-by-name)))
  :rule-classes :rewrite)