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• Environment-field

Env-alistp

Recognizer of the environment field env

Signature

(env-alistp env) → *

As of now, env-alistp consists of three sub-fields, all of which are basically alists --- file descriptors, file contents, and an oracle field.

Definitions and Theorems

Function: env-alistp

(defun env-alistp (env)
  (declare (xargs :guard t))
  (let ((__function__ 'env-alistp))
    (declare (ignorable __function__))
    (or (equal env nil)
        (and (alistp env)
             (equal (len env) 3)
             (consp (assoc :file-descriptors env))
             (alistp (cdr (assoc :file-descriptors env)))
             (consp (assoc :file-contents env))
             (alistp (cdr (assoc :file-contents env)))
             (consp (assoc :oracle env))
             (rip-ret-alistp (cdr (assoc :oracle env)))))))

Function: env-alist-fix

(defun env-alist-fix (x)
  (declare (xargs :guard (env-alistp x)))
  (mbe :logic (if (env-alistp x) x nil)
       :exec x))

Theorem: env-alistp-fwd-chaining-alistp

(defthm env-alistp-fwd-chaining-alistp
  (implies (env-alistp x) (alistp x))
  :rule-classes :forward-chaining)

Theorem: env-alistp-implies-rip-ret-alistp

(defthm env-alistp-implies-rip-ret-alistp
  (implies (env-alistp x)
           (rip-ret-alistp (cdr (assoc-equal :oracle x))))
  :rule-classes (:rewrite :forward-chaining))

Theorem: env-alistp-implies-alistp-file-descriptors

(defthm env-alistp-implies-alistp-file-descriptors
  (implies (env-alistp x)
           (alistp (cdr (assoc-equal :file-descriptors x))))
  :rule-classes (:rewrite :forward-chaining))

Theorem: env-alistp-implies-alistp-file-contents

(defthm env-alistp-implies-alistp-file-contents
  (implies (env-alistp x)
           (alistp (cdr (assoc-equal :file-contents x))))
  :rule-classes (:rewrite :forward-chaining))