/usr/share/acl2-7.2dfsg/boot-strap-pass-2.lisp is in acl2-source 7.2dfsg-3.
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1622 1623 1624 1625 1626 1627 1628 1629 1630 1631 1632 1633 1634 1635 1636 1637 1638 1639 1640 1641 1642 1643 1644 1645 1646 1647 1648 1649 1650 1651 1652 1653 1654 1655 1656 1657 1658 1659 1660 1661 1662 1663 1664 1665 1666 1667 1668 1669 1670 1671 1672 1673 1674 1675 1676 1677 1678 1679 1680 1681 1682 1683 1684 1685 1686 1687 1688 1689 1690 1691 1692 1693 1694 1695 1696 1697 1698 1699 1700 1701 1702 1703 1704 1705 1706 1707 1708 1709 1710 1711 1712 1713 1714 1715 1716 1717 1718 1719 1720 1721 1722 1723 1724 1725 1726 1727 1728 1729 1730 1731 1732 1733 1734 1735 1736 1737 1738 1739 1740 1741 1742 1743 1744 1745 1746 1747 1748 1749 1750 1751 1752 1753 1754 1755 1756 1757 1758 1759 1760 1761 1762 1763 1764 1765 1766 1767 1768 1769 1770 1771 1772 1773 1774 1775 1776 1777 1778 1779 1780 1781 1782 1783 | ; ACL2 Version 7.2 -- A Computational Logic for Applicative Common Lisp
; Copyright (C) 2016, Regents of the University of Texas
; This version of ACL2 is a descendent of ACL2 Version 1.9, Copyright
; (C) 1997 Computational Logic, Inc. See the documentation topic NOTE-2-0.
; This program is free software; you can redistribute it and/or modify
; it under the terms of the LICENSE file distributed with ACL2.
; This program is distributed in the hope that it will be useful,
; but WITHOUT ANY WARRANTY; without even the implied warranty of
; MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
; LICENSE for more details.
; Written by: Matt Kaufmann and J Strother Moore
; email: Kaufmann@cs.utexas.edu and Moore@cs.utexas.edu
; Department of Computer Science
; University of Texas at Austin
; Austin, TX 78712 U.S.A.
(in-package "ACL2")
; This file, boot-strap-pass-2, is compiled and loaded; but it is only
; processed during the second pass of the boot-strap process, not the first.
; We introduce proper defattach events, i.e., without :skip-checks t. Here are
; some guiding principles for making system functions available for attachment
; by users.
; - The initial attachment is named by adding the suffix -builtin. For
; example, worse-than is a constrained function initially attached to
; worse-than-builtin.
; - Use the weakest logical specs we can (even if T), without getting
; distracted by names. For example, we do not specify a relationship between
; worse-than-or-equal and worse-than.
; - Only make functions attachable if they are used in our sources somewhere
; outside their definitions. So for example, we do not introduce
; worse-than-list as a constrained function, since its only use is in the
; mutual-recursion event that defines worse-than.
; We conclude by defining some theories, at the end so that they pick up the
; rest of this file.
;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;
;;; Miscellaneous verify-termination and guard verification
;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;
; cons-term and symbol-class -- at one point during development, used in
; fncall-term, but anyhow, generally useful to have in logic mode
(verify-termination-boot-strap quote-listp) ; and guards
(verify-termination-boot-strap cons-term1) ; and guards
(verify-termination-boot-strap cons-term) ; and guards
(verify-termination-boot-strap symbol-class) ; and guards
; observation1-cw
(verify-termination-boot-strap observation1-cw)
(verify-guards observation1-cw)
; packn1 and packn
(verify-termination-boot-strap packn1) ; and guards
(encapsulate ()
(local
(defthm character-listp-explode-nonnegative-integer
(implies (character-listp z)
(character-listp (explode-nonnegative-integer x y z)))
:rule-classes ((:forward-chaining :trigger-terms
((explode-nonnegative-integer x y z))))))
(local
(defthm character-listp-explode-atom
(character-listp (explode-atom x y))
:rule-classes ((:forward-chaining :trigger-terms
((explode-atom x y))))))
(verify-termination-boot-strap packn) ; and guards
(verify-termination-boot-strap packn-pos) ; and guards
)
(verify-termination-boot-strap read-file-into-string1) ; and guards
(encapsulate
()
; At one the following local lemma seemed to be helpful, but it is not
; currently necessary. If we simplify read-file-into-string2, for example by
; removing ec-call, then perhaps we will need this lemma once again.
;(local
; (defthm stringp-read-file-into-string1
; (implies (car (read-file-into-string1 channel state ans bound))
; (stringp (car (read-file-into-string1 channel state ans
; bound))))))
(verify-termination-boot-strap read-file-into-string2) ; and guards
)
(verify-termination-boot-strap read-file-into-string) ; and guards
; miscellaneous
(verify-termination-boot-strap guard-or-termination-theorem-msg) ; and guards
;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;
;;; Attachment: too-many-ifs-post-rewrite and too-many-ifs-pre-rewrite
;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;
#+acl2-loop-only
; The above readtime conditional avoids a CLISP warning, and lets the defproxy
; for print-clause-id-okp provide the raw Lisp definition.
(encapsulate
((too-many-ifs-post-rewrite (args val) t
:guard (and (pseudo-term-listp args)
(pseudo-termp val))))
(local (defun too-many-ifs-post-rewrite (args val)
(list args val))))
; The following events are derived from the original version of community book
; books/system/too-many-ifs.lisp. But here we provide a proof that does not
; depend on books. Our approach was to take the proof in the above book,
; eliminate the unnecessary use of an arithmetic book, expand away all uses of
; macros and make-events, avoid use of (theory 'minimal-theory) since that
; theory didn't yet exist (where these events were originally placed), and
; apply some additional hand-editing in order (for example) to remove hints
; depending on the tools/flag community book. We have left original events
; from the book as comments.
(encapsulate
()
(logic)
;;; (include-book "tools/flag" :dir :system)
; In the original book, but not needed for its certification:
; (include-book "arithmetic/top-with-meta" :dir :system)
; Comments like the following show events from the original book.
;;; (make-flag pseudo-termp-flg
;;; pseudo-termp
;;; :flag-var flg
;;; :flag-mapping ((pseudo-termp . term)
;;; (pseudo-term-listp . list))
;;; :defthm-macro-name defthm-pseudo-termp
;;; :local t)
(local
(defun-nx pseudo-termp-flg (flg x lst)
(declare (xargs :verify-guards nil
:normalize nil
:measure (case flg (term (acl2-count x))
(otherwise (acl2-count lst)))))
(case flg
(term (if (consp x)
(cond ((equal (car x) 'quote)
(and (consp (cdr x))
(equal (cddr x) nil)))
((true-listp x)
(and (pseudo-termp-flg 'list nil (cdr x))
(cond ((symbolp (car x)) t)
((true-listp (car x))
(and (equal (length (car x)) 3)
(equal (caar x) 'lambda)
(symbol-listp (cadar x))
(pseudo-termp-flg 'term (caddar x) nil)
(equal (length (cadar x))
(length (cdr x)))))
(t nil))))
(t nil))
(symbolp x)))
(otherwise (if (consp lst)
(and (pseudo-termp-flg 'term (car lst) nil)
(pseudo-termp-flg 'list nil (cdr lst)))
(equal lst nil))))))
(local
(defthm pseudo-termp-flg-equivalences
(equal (pseudo-termp-flg flg x lst)
(case flg (term (pseudo-termp x))
(otherwise (pseudo-term-listp lst))))
:hints
(("goal" :induct (pseudo-termp-flg flg x lst)))))
(local (in-theory (disable (:definition pseudo-termp-flg))))
; Added here (not present or needed in the certified book):
(verify-termination-boot-strap max) ; and guards
(verify-termination-boot-strap var-counts1)
;;; (make-flag var-counts1-flg
;;; var-counts1
;;; :flag-var flg
;;; :flag-mapping ((var-counts1 . term)
;;; (var-counts1-lst . list))
;;; :defthm-macro-name defthm-var-counts1
;;; :local t)
(local
(defun-nx var-counts1-flg (flg rhs arg lst acc)
(declare (xargs :verify-guards nil
:normalize nil
:measure (case flg (term (acl2-count rhs))
(otherwise (acl2-count lst)))
:hints nil
:well-founded-relation o<
:mode :logic)
(ignorable rhs arg lst acc))
(case flg
(term (cond ((equal arg rhs) (+ 1 acc))
((consp rhs)
(cond ((equal 'quote (car rhs)) acc)
((equal (car rhs) 'if)
(max (var-counts1-flg 'term
(caddr rhs)
arg nil acc)
(var-counts1-flg 'term
(cadddr rhs)
arg nil acc)))
(t (var-counts1-flg 'list
nil arg (cdr rhs)
acc))))
(t acc)))
(otherwise (if (consp lst)
(var-counts1-flg 'list
nil arg (cdr lst)
(var-counts1-flg 'term
(car lst)
arg nil acc))
acc)))))
(local
(defthm
var-counts1-flg-equivalences
(equal (var-counts1-flg flg rhs arg lst acc)
(case flg (term (var-counts1 arg rhs acc))
(otherwise (var-counts1-lst arg lst acc))))))
(local (in-theory (disable (:definition var-counts1-flg))))
;;; (defthm-var-counts1 natp-var-counts1
;;; (term
;;; (implies (natp acc)
;;; (natp (var-counts1 arg rhs acc)))
;;; :rule-classes :type-prescription)
;;; (list
;;; (implies (natp acc)
;;; (natp (var-counts1-lst arg lst acc)))
;;; :rule-classes :type-prescription)
;;; :hints (("Goal" :induct (var-counts1-flg flg rhs arg lst acc))))
(local
(defthm natp-var-counts1
(case flg
(term (implies (natp acc)
(natp (var-counts1 arg rhs acc))))
(otherwise (implies (natp acc)
(natp (var-counts1-lst arg lst acc)))))
:hints (("Goal" :induct (var-counts1-flg flg rhs arg lst acc)))
:rule-classes nil))
(local
(defthm natp-var-counts1-term
(implies (natp acc)
(natp (var-counts1 arg rhs acc)))
:hints (("Goal" ; :in-theory (theory 'minimal-theory)
:use ((:instance natp-var-counts1 (flg 'term)))))
:rule-classes :type-prescription))
(local
(defthm natp-var-counts1-list
(implies (natp acc)
(natp (var-counts1-lst arg lst acc)))
:hints (("Goal" ; :in-theory (theory 'minimal-theory)
:use ((:instance natp-var-counts1 (flg 'list)))))
:rule-classes :type-prescription))
(verify-guards var-counts1)
(verify-termination-boot-strap var-counts) ; and guards
;;; Since the comment about var-counts says that var-counts returns a list of
;;; nats as long as lhs-args, I prove those facts, speculatively.
; Except, we reason instead about integer-listp. See the comment just above
; the commented-out definition of nat-listp in the source code (file
; rewrite.lisp).
; (verify-termination nat-listp)
(local
(defthm integer-listp-var-counts
(integer-listp (var-counts lhs-args rhs))))
(local
(defthm len-var-counts
(equal (len (var-counts lhs-args rhs))
(len lhs-args))))
(verify-termination-boot-strap count-ifs) ; and guards
; Added here (not present or needed in the certified book):
(verify-termination-boot-strap ifix) ; and guards
; Added here (not present or needed in the certified book):
(verify-termination-boot-strap abs) ; and guards
; Added here (not present or needed in the certified book):
(verify-termination-boot-strap expt) ; and guards
; Added here (not present or needed in the certified book):
(local (defthm natp-expt
(implies (and (integerp base)
(integerp n)
(<= 0 n))
(integerp (expt base n)))
:rule-classes :type-prescription))
; Added here (not present or needed in the certified book):
(verify-termination-boot-strap signed-byte-p) ; and guards
(verify-termination-boot-strap too-many-ifs0) ; and guards
(verify-termination-boot-strap too-many-ifs-pre-rewrite-builtin) ; and guards
(verify-termination-boot-strap occur-cnt-bounded)
;;; (make-flag occur-cnt-bounded-flg
;;; occur-cnt-bounded
;;; :flag-var flg
;;; :flag-mapping ((occur-cnt-bounded . term)
;;; (occur-cnt-bounded-lst . list))
;;; :defthm-macro-name defthm-occur-cnt-bounded
;;; :local t)
(local
(defun-nx occur-cnt-bounded-flg (flg term2 term1 lst a m bound-m)
(declare (xargs :verify-guards nil
:normalize nil
:measure (case flg (term (acl2-count term2))
(otherwise (acl2-count lst))))
(ignorable term2 term1 lst a m bound-m))
(case flg
(term (cond ((equal term1 term2)
(if (< bound-m a) -1 (+ a m)))
((consp term2)
(if (equal 'quote (car term2))
a
(occur-cnt-bounded-flg 'list
nil term1 (cdr term2)
a m bound-m)))
(t a)))
(otherwise (if (consp lst)
(let ((new (occur-cnt-bounded-flg 'term
(car lst)
term1 nil a m bound-m)))
(if (equal new -1)
-1
(occur-cnt-bounded-flg 'list
nil term1 (cdr lst)
new m bound-m)))
a)))))
(local
(defthm occur-cnt-bounded-flg-equivalences
(equal (occur-cnt-bounded-flg flg term2 term1 lst a m bound-m)
(case flg
(term (occur-cnt-bounded term1 term2 a m bound-m))
(otherwise (occur-cnt-bounded-lst term1 lst a m bound-m))))))
(local (in-theory (disable (:definition occur-cnt-bounded-flg))))
;;; (defthm-occur-cnt-bounded integerp-occur-cnt-bounded
;;; (term
;;; (implies (and (integerp a)
;;; (integerp m))
;;; (integerp (occur-cnt-bounded term1 term2 a m bound-m)))
;;; :rule-classes :type-prescription)
;;; (list
;;; (implies (and (integerp a)
;;; (integerp m))
;;; (integerp (occur-cnt-bounded-lst term1 lst a m bound-m)))
;;; :rule-classes :type-prescription)
;;; :hints (("Goal" :induct (occur-cnt-bounded-flg flg term2 term1 lst a m
;;; bound-m))))
(local
(defthm integerp-occur-cnt-bounded
(case flg
(term (implies (and (integerp a) (integerp m))
(integerp (occur-cnt-bounded term1 term2 a m bound-m))))
(otherwise
(implies (and (integerp a) (integerp m))
(integerp (occur-cnt-bounded-lst term1 lst a m bound-m)))))
:rule-classes nil
:hints
(("Goal" :induct (occur-cnt-bounded-flg flg term2 term1 lst a m bound-m)))))
(local
(defthm integerp-occur-cnt-bounded-term
(implies (and (integerp a) (integerp m))
(integerp (occur-cnt-bounded term1 term2 a m bound-m)))
:rule-classes :type-prescription
:hints (("goal" ; :in-theory (theory 'minimal-theory)
:use ((:instance integerp-occur-cnt-bounded
(flg 'term)))))))
(local
(defthm integerp-occur-cnt-bounded-list
(implies (and (integerp a) (integerp m))
(integerp (occur-cnt-bounded-lst term1 lst a m bound-m)))
:rule-classes :type-prescription
:hints (("goal" ; :in-theory (theory 'minimal-theory)
:use ((:instance integerp-occur-cnt-bounded
(flg 'list)))))))
;;; (defthm-occur-cnt-bounded signed-byte-p-30-occur-cnt-bounded-flg
;;; (term
;;; (implies (and (force (signed-byte-p 30 a))
;;; (signed-byte-p 30 m)
;;; (signed-byte-p 30 (+ bound-m m))
;;; (force (<= 0 a))
;;; (<= 0 m)
;;; (<= 0 bound-m)
;;; (<= a (+ bound-m m)))
;;; (and (<= -1 (occur-cnt-bounded term1 term2 a m bound-m))
;;; (<= (occur-cnt-bounded term1 term2 a m bound-m) (+ bound-m m))))
;;; :rule-classes :linear)
;;; (list
;;; (implies (and (force (signed-byte-p 30 a))
;;; (signed-byte-p 30 m)
;;; (signed-byte-p 30 (+ bound-m m))
;;; (force (<= 0 a))
;;; (<= 0 m)
;;; (<= 0 bound-m)
;;; (<= a (+ bound-m m)))
;;; (and (<= -1 (occur-cnt-bounded-lst term1 lst a m bound-m))
;;; (<= (occur-cnt-bounded-lst term1 lst a m bound-m) (+ bound-m m))))
;;; :rule-classes :linear)
;;; :hints (("Goal" :induct (occur-cnt-bounded-flg flg term2 term1 lst a m
;;; bound-m))))
(local
(defthm signed-byte-p-30-occur-cnt-bounded-flg
(case flg
(term (implies (and (force (signed-byte-p 30 a))
(signed-byte-p 30 m)
(signed-byte-p 30 (+ bound-m m))
(force (<= 0 a))
(<= 0 m)
(<= 0 bound-m)
(<= a (+ bound-m m)))
(and (<= -1
(occur-cnt-bounded term1 term2 a m bound-m))
(<= (occur-cnt-bounded term1 term2 a m bound-m)
(+ bound-m m)))))
(otherwise
(implies (and (force (signed-byte-p 30 a))
(signed-byte-p 30 m)
(signed-byte-p 30 (+ bound-m m))
(force (<= 0 a))
(<= 0 m)
(<= 0 bound-m)
(<= a (+ bound-m m)))
(and (<= -1
(occur-cnt-bounded-lst term1 lst a m bound-m))
(<= (occur-cnt-bounded-lst term1 lst a m bound-m)
(+ bound-m m))))))
:rule-classes nil
:hints
(("Goal" :induct (occur-cnt-bounded-flg flg term2 term1 lst a m bound-m)))))
(local
(defthm signed-byte-p-30-occur-cnt-bounded-flg-term
(implies (and (force (signed-byte-p 30 a))
(signed-byte-p 30 m)
(signed-byte-p 30 (+ bound-m m))
(force (<= 0 a))
(<= 0 m)
(<= 0 bound-m)
(<= a (+ bound-m m)))
(and (<= -1
(occur-cnt-bounded term1 term2 a m bound-m))
(<= (occur-cnt-bounded term1 term2 a m bound-m)
(+ bound-m m))))
:rule-classes :linear
:hints (("Goal" ; :in-theory (theory 'minimal-theory)
:use ((:instance signed-byte-p-30-occur-cnt-bounded-flg
(flg 'term)))))))
(local
(defthm signed-byte-p-30-occur-cnt-bounded-flg-list
(implies (and (force (signed-byte-p 30 a))
(signed-byte-p 30 m)
(signed-byte-p 30 (+ bound-m m))
(force (<= 0 a))
(<= 0 m)
(<= 0 bound-m)
(<= a (+ bound-m m)))
(and (<= -1
(occur-cnt-bounded-lst term1 lst a m bound-m))
(<= (occur-cnt-bounded-lst term1 lst a m bound-m)
(+ bound-m m))))
:rule-classes :linear
:hints (("Goal" ; :in-theory (theory 'minimal-theory)
:use ((:instance signed-byte-p-30-occur-cnt-bounded-flg
(flg 'list)))))))
(verify-guards occur-cnt-bounded)
(verify-termination-boot-strap too-many-ifs1) ; and guards
(verify-termination-boot-strap too-many-ifs-post-rewrite-builtin) ; and guards
)
(defattach too-many-ifs-post-rewrite too-many-ifs-post-rewrite-builtin)
; Complete too-many-ifs-pre-rewrite.
#+acl2-loop-only
; The above readtime conditional avoids a CLISP warning, and lets the defproxy
; for print-clause-id-okp provide the raw Lisp definition.
(encapsulate
((too-many-ifs-pre-rewrite (args counts) t
:guard
(and (pseudo-term-listp args)
(integer-listp counts)
(equal (len args) (len counts)))))
(local (defun too-many-ifs-pre-rewrite (args counts)
(list args counts))))
(defattach (too-many-ifs-pre-rewrite too-many-ifs-pre-rewrite-builtin))
;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;
;;; Attachment: ancestors-check, worse-than, worse-than-or-equal
;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;
(verify-termination-boot-strap pseudo-variantp)
(verify-termination-boot-strap member-char-stringp)
(verify-termination-boot-strap terminal-substringp1)
(verify-termination-boot-strap terminal-substringp)
(verify-termination-boot-strap evg-occur)
(verify-termination-boot-strap min-fixnum)
(verify-termination-boot-strap fn-count-evg-rec ; but not guards
(declare (xargs :verify-guards nil)))
(defthm fn-count-evg-rec-type-prescription
(implies (natp acc)
(natp (fn-count-evg-rec evg acc calls)))
:rule-classes :type-prescription)
(defthm fn-count-evg-rec-bound
(< (fn-count-evg-rec evg acc calls)
536870912) ; (expt 2 29)
:rule-classes :linear)
(verify-guards fn-count-evg-rec)
(verify-termination-boot-strap occur)
(verify-termination-boot-strap worse-than-builtin-clocked) ; and mut-rec nest
(verify-termination-boot-strap worse-than-builtin)
(verify-termination-boot-strap worse-than-or-equal-builtin)
(verify-termination-boot-strap ancestor-listp)
(verify-termination-boot-strap earlier-ancestor-biggerp)
(verify-termination-boot-strap fn-count-1) ; but not guards
(defthm fn-count-1-type
(implies (and (integerp fn-count-acc)
(integerp p-fn-count-acc))
(and (integerp (car (fn-count-1 flag term
fn-count-acc p-fn-count-acc)))
(integerp (mv-nth 0 (fn-count-1 flag term
fn-count-acc
p-fn-count-acc)))
(integerp (mv-nth 1 (fn-count-1 flag term
fn-count-acc
p-fn-count-acc)))
(integerp (nth 0 (fn-count-1 flag term
fn-count-acc
p-fn-count-acc)))
(integerp (nth 1 (fn-count-1 flag term
fn-count-acc
p-fn-count-acc)))))
:rule-classes ((:forward-chaining
:trigger-terms
((fn-count-1 flag term fn-count-acc p-fn-count-acc)))))
(verify-guards fn-count-1)
(verify-termination-boot-strap var-fn-count-1) ; but not guards
(defthm symbol-listp-cdr-assoc-equal
(implies (symbol-list-listp x)
(symbol-listp (cdr (assoc-equal key x)))))
; We state the following three rules in all forms that we think might be useful
; to those who want to reason about var-fn-count-1, for example if they are
; developing attachments to ancestors-check.
(defthm integerp-nth-0-var-fn-count-1
(implies (integerp var-count-acc)
(integerp (nth 0 (var-fn-count-1
flg x
var-count-acc fn-count-acc p-fn-count-acc
invisible-fns invisible-fns-table))))
:rule-classes
((:forward-chaining
:trigger-terms
((var-fn-count-1 flg x var-count-acc fn-count-acc
p-fn-count-acc invisible-fns
invisible-fns-table))
:corollary
(implies (integerp var-count-acc)
(and (integerp (nth 0 (var-fn-count-1
flg x
var-count-acc fn-count-acc p-fn-count-acc
invisible-fns invisible-fns-table)))
(integerp (mv-nth 0 (var-fn-count-1
flg x
var-count-acc fn-count-acc p-fn-count-acc
invisible-fns invisible-fns-table)))
(integerp (car (var-fn-count-1
flg x
var-count-acc fn-count-acc p-fn-count-acc
invisible-fns invisible-fns-table))))))))
(defthm integerp-nth-1-var-fn-count-1
(implies (integerp fn-count-acc)
(integerp (nth 1 (var-fn-count-1
flg x
var-count-acc fn-count-acc p-fn-count-acc
invisible-fns invisible-fns-table))))
:rule-classes
((:forward-chaining
:trigger-terms
((var-fn-count-1 flg x var-count-acc fn-count-acc
p-fn-count-acc invisible-fns
invisible-fns-table))
:corollary
(implies (integerp fn-count-acc)
(and (integerp (nth 1 (var-fn-count-1
flg x
var-count-acc fn-count-acc p-fn-count-acc
invisible-fns invisible-fns-table)))
(integerp (mv-nth 1 (var-fn-count-1
flg x
var-count-acc fn-count-acc p-fn-count-acc
invisible-fns invisible-fns-table))))))))
(defthm integerp-nth-2-var-fn-count-1
(implies (integerp p-fn-count-acc)
(integerp (nth 2 (var-fn-count-1
flg x
var-count-acc fn-count-acc p-fn-count-acc
invisible-fns invisible-fns-table))))
:rule-classes
((:forward-chaining
:trigger-terms
((var-fn-count-1 flg x var-count-acc fn-count-acc
p-fn-count-acc invisible-fns
invisible-fns-table))
:corollary
(implies (integerp p-fn-count-acc)
(and (integerp (nth 2 (var-fn-count-1
flg x
var-count-acc fn-count-acc p-fn-count-acc
invisible-fns invisible-fns-table)))
(integerp (mv-nth 2 (var-fn-count-1
flg x
var-count-acc fn-count-acc p-fn-count-acc
invisible-fns invisible-fns-table))))))))
(verify-guards var-fn-count-1)
(verify-termination-boot-strap equal-mod-commuting) ; and guards
(verify-termination-boot-strap ancestors-check1)
(verify-termination-boot-strap ancestors-check-builtin)
(defun member-equal-mod-commuting (x lst wrld)
(declare (xargs :guard (and (pseudo-termp x)
(pseudo-term-listp lst)
(plist-worldp wrld))))
(cond ((endp lst) nil)
((equal-mod-commuting x (car lst) wrld) lst)
(t (member-equal-mod-commuting x (cdr lst) wrld))))
; In the following, terms (nth 0 ...) and (nth 1 ...) in the hints were
; originally (car ...) and (mv-nth 1 ...), respectively, but those didn't
; work. It would be good at some point to explore why not, given that the
; original versions worked outside the build.
(defun strip-ancestor-literals (ancestors)
(declare (xargs :guard (ancestor-listp ancestors)))
(cond ((endp ancestors) nil)
(t (cons (access ancestor (car ancestors) :lit)
(strip-ancestor-literals (cdr ancestors))))))
(encapsulate
()
(local
(defthm ancestors-check1-property
(mv-let (on-ancestors assumed-true)
(ancestors-check1 lit-atm lit var-cnt fn-cnt p-fn-cnt ancestors
tokens)
(implies (and on-ancestors
assumed-true)
(member-equal-mod-commuting
lit
(strip-ancestor-literals ancestors)
nil)))
:rule-classes nil))
(defthmd ancestors-check-builtin-property
(mv-let (on-ancestors assumed-true)
(ancestors-check-builtin lit ancestors tokens)
(implies (and on-ancestors
assumed-true)
(member-equal-mod-commuting
lit
(strip-ancestor-literals ancestors)
nil)))
:hints (("Goal"
:use
((:instance
ancestors-check1-property
(lit-atm lit)
(var-cnt 0)
(fn-cnt 0)
(p-fn-cnt 0))
(:instance
ancestors-check1-property
(lit-atm lit)
(var-cnt (nth 0 (var-fn-count-1 nil lit 0 0 0 nil nil)))
(fn-cnt (nth 1 (var-fn-count-1 nil lit 0 0 0 nil nil)))
(p-fn-cnt (nth 2 (var-fn-count-1 nil lit 0 0 0 nil nil))))
(:instance
ancestors-check1-property
(lit-atm (cadr lit))
(var-cnt (nth 0 (var-fn-count-1 nil (cadr lit) 0 0 0 nil nil)))
(fn-cnt (nth 1 (var-fn-count-1 nil (cadr lit) 0 0 0 nil nil)))
(p-fn-cnt (nth 2
(var-fn-count-1 nil (cadr lit) 0 0 0
nil nil)))))))))
#+acl2-loop-only
; The above readtime conditional avoids a CLISP warning, and lets the defproxy
; for print-clause-id-okp provide the raw Lisp definition.
(encapsulate
((ancestors-check (lit ancestors tokens) (mv t t)
:guard (and (pseudo-termp lit)
(ancestor-listp ancestors)
(true-listp tokens))))
(local (defun ancestors-check (lit ancestors tokens)
(ancestors-check-builtin lit ancestors tokens)))
(defthmd ancestors-check-constraint
(implies (and (pseudo-termp lit)
(ancestor-listp ancestors)
(true-listp tokens))
(mv-let (on-ancestors assumed-true)
(ancestors-check lit ancestors tokens)
(implies (and on-ancestors
assumed-true)
(member-equal-mod-commuting
lit
(strip-ancestor-literals ancestors)
nil))))
:hints (("Goal" :use ancestors-check-builtin-property))))
(defattach (ancestors-check ancestors-check-builtin)
:hints (("Goal" :by ancestors-check-builtin-property)))
(defattach worse-than worse-than-builtin)
(defattach worse-than-or-equal worse-than-or-equal-builtin)
;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;
;;; Attachment: acl2x-expansion-alist
;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;
(verify-termination-boot-strap hons-copy-with-state) ; and guards
(verify-termination-boot-strap identity-with-state) ; and guards
(defattach (acl2x-expansion-alist
; User-modifiable; see comment in the defstub introducing
; acl2x-expansion-alist.
identity-with-state))
;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;
;;; Attachments: rw-cache utilities
;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;
(verify-termination-boot-strap rw-cache-debug-builtin) ; and guards
(defattach rw-cache-debug rw-cache-debug-builtin)
(verify-termination-boot-strap rw-cache-debug-action-builtin) ; and guards
(defattach rw-cache-debug-action rw-cache-debug-action-builtin)
(verify-termination-boot-strap rw-cacheable-failure-reason-builtin) ; and guards
(defattach rw-cacheable-failure-reason rw-cacheable-failure-reason-builtin)
;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;
;;; Attachments: print-clause-id-okp
;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;
(verify-termination-boot-strap all-digits-p) ; and guards
(verify-termination-boot-strap ; and guards
(d-pos-listp
(declare
(xargs
:guard-hints
(("Goal"
:use ((:instance coerce-inverse-2
(x (symbol-name (car lst))))
(:instance character-listp-coerce
(str (symbol-name (car lst)))))
:expand ((len (coerce (symbol-name (car lst)) 'list)))
:in-theory (disable coerce-inverse-2
character-listp-coerce)))))))
(verify-termination-boot-strap pos-listp)
(verify-guards pos-listp)
(defthm d-pos-listp-forward-to-true-listp
(implies (d-pos-listp x)
(true-listp x))
:rule-classes :forward-chaining)
(verify-termination-boot-strap clause-id-p) ; and guards
#+acl2-loop-only
; The above readtime conditional avoids a CLISP warning, and lets the defproxy
; for print-clause-id-okp provide the raw Lisp definition.
(encapsulate
(((print-clause-id-okp *) => * :formals (cl-id) :guard (clause-id-p cl-id)))
(local (defun print-clause-id-okp (x)
x)))
(verify-termination-boot-strap print-clause-id-okp-builtin) ; and guards
(defattach print-clause-id-okp print-clause-id-okp-builtin)
;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;
;;; Attachments: oncep-tp
;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;
; We could avoid the forms below by replacing the earlier forms
; (defproxy oncep-tp (* *) => *)
; (defun oncep-tp-builtin ...) ; :guard t
; (defattach (oncep-tp oncep-tp-builtin) :skip-checks t)
; in place, by changing defproxy to defstub and removing :skip-checks t.
; However, the guard on once-tp would then be left with a guard of t, which
; might be stronger than we'd like.
#+acl2-loop-only
; The above readtime conditional avoids a CLISP warning, and lets the defproxy
; for print-clause-id-okp provide the raw Lisp definition.
(encapsulate
(((oncep-tp * *) => *
:formals (rune wrld)
:guard (and (plist-worldp wrld)
; Although (runep rune wrld) is appropriate here, we don't want to fight the
; battle yet of putting runep into :logic mode. So we just lay down the
; syntactic part of its code, which should suffice for user-defined attachments
; to oncep-tp.
(and (consp rune)
(consp (cdr rune))
(symbolp (cadr rune))))))
(logic)
(local (defun oncep-tp (rune wrld)
(oncep-tp-builtin rune wrld))))
(defattach oncep-tp oncep-tp-builtin)
;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;
; verify-termination and guard verification:
; string-for-tilde-@-clause-id-phrase and some subsidiary functions
;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;
; David Rager proved termination and guards for
; string-for-tilde-@-clause-id-phrase, with a proof that included community
; books unicode/explode-atom and unicode/explode-nonnegative-integer. Here, we
; rework that proof a bit to avoid those dependencies. Note that this proof
; depends on d-pos-listp, whose termination and guard verification are
; performed above.
; We proved true-listp-explode-nonnegative-integer here, but then found it was
; already proved locally in axioms.lisp. So we made that defthm non-local (and
; strengthened it to its current form).
(verify-termination-boot-strap chars-for-tilde-@-clause-id-phrase/periods)
(verify-termination-boot-strap chars-for-tilde-@-clause-id-phrase/primes)
(defthm pos-listp-forward-to-integer-listp
(implies (pos-listp x)
(integer-listp x))
:rule-classes :forward-chaining)
(verify-termination-boot-strap chars-for-tilde-@-clause-id-phrase)
(defthm true-listp-chars-for-tilde-@-clause-id-phrase/periods
(true-listp (chars-for-tilde-@-clause-id-phrase/periods lst))
:rule-classes :type-prescription)
(defthm true-listp-explode-atom
(true-listp (explode-atom n print-base))
:rule-classes :type-prescription)
(encapsulate
()
; The following local events create perfectly good rewrite rules, but we avoid
; the possibility of namespace clashes for existing books by making them local
; as we add them after Version_4.3.
(local
(defthm character-listp-explode-nonnegative-integer
(implies
(character-listp ans)
(character-listp (explode-nonnegative-integer n print-base ans)))))
(local
(defthm character-listp-explode-atom
(character-listp (explode-atom n print-base))
:hints ; need to disable this local lemma from axioms.lisp
(("Goal" :in-theory (disable character-listp-cdr)))))
(local
(defthm character-listp-chars-for-tilde-@-clause-id-phrase/periods
(character-listp (chars-for-tilde-@-clause-id-phrase/periods lst))))
(verify-termination-boot-strap string-for-tilde-@-clause-id-phrase))
;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;
; verify-termination and guard verification:
; strict-merge-symbol-<, strict-merge-sort-symbol-<, strict-symbol-<-sortedp,
; and sort-symbol-listp
;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;
(verify-termination-boot-strap strict-merge-symbol-<
(declare (xargs :measure
(+ (len l1) (len l2)))))
(encapsulate
()
(local
(defthm len-strict-merge-symbol-<
(<= (len (strict-merge-symbol-< l1 l2 acc))
(+ (len l1) (len l2) (len acc)))
:rule-classes :linear))
(local
(defthm len-evens
(equal (len l)
(+ (len (evens l))
(len (odds l))))
:rule-classes :linear))
(local
(defthm symbol-listp-evens
(implies (symbol-listp x)
(symbol-listp (evens x)))
:hints (("Goal" :induct (evens x)))))
(local
(defthm symbol-listp-odds
(implies (symbol-listp x)
(symbol-listp (odds x)))))
(local
(defthm symbol-listp-strict-merge-symbol-<
(implies (and (symbol-listp l1)
(symbol-listp l2)
(symbol-listp acc))
(symbol-listp (strict-merge-symbol-< l1 l2 acc)))))
(verify-termination-boot-strap strict-merge-sort-symbol-<
(declare (xargs :measure (len l)
:verify-guards nil)))
(defthm symbol-listp-strict-merge-sort-symbol-<
; This lemma is non-local because it is needed for "make proofs", for
; guard-verification for new-verify-guards-fns1.
(implies (symbol-listp x)
(symbol-listp (strict-merge-sort-symbol-< x))))
(verify-guards strict-merge-sort-symbol-<)
(verify-termination-boot-strap strict-symbol-<-sortedp) ; and guards
(verify-termination-boot-strap sort-symbol-listp) ; and guards
)
;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;
;;; Theories
;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;
(deftheory definition-minimal-theory
(definition-runes
*definition-minimal-theory*
nil
world))
(deftheory executable-counterpart-minimal-theory
(definition-runes
*built-in-executable-counterparts*
t
world))
(deftheory minimal-theory
; Warning: The resulting value must be a runic-theoryp. See
; theory-fn-callp.
; Keep this definition in sync with translate-in-theory-hint.
(union-theories (theory 'definition-minimal-theory)
(union-theories
; Without the :executable-counterpart of force, the use of (theory
; 'minimal-theory) will produce the warning "Forcing has transitioned
; from enabled to disabled", at least if forcing is enabled (as is the
; default).
'((:executable-counterpart force))
(theory 'executable-counterpart-minimal-theory))))
; See the Essay on the Status of the Tau System During and After Bootstrapping
; in axioms.lisp where we discuss choices (1.a), (1.b), (2.a) and (2.b)
; related to the status of the tau system. Here is where we implement
; (2.a).
(in-theory (if (cadr *tau-status-boot-strap-settings*) ; (2.a)
(enable (:executable-counterpart tau-system))
(disable (:executable-counterpart tau-system))))
(deftheory ground-zero
; WARNING: Keep this near the end of *acl2-pass-2-files* in order for
; the ground-zero theory to be as expected.
(current-theory :here))
;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;
;;; meta-extract support
;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;
(verify-termination-boot-strap formals) ; and guards
(verify-termination-boot-strap constraint-info) ; and guards
(defund meta-extract-formula (name state)
; This function supports meta-extract-global-fact+. It needs to be executable
; and in :logic mode (hence, as required by the ACL2 build process,
; guard-verified), since it may be called by meta functions.
; While this function can be viewed as a version of formula, it applies only to
; symbols (not runes), it is in :logic mode, and there are a few other
; differences as well. The present function requires name to be a symbol and
; only returns a normalp=nil form of body. (Otherwise, in order to put body in
; :logic mode, body would need to be guard-verified, which would probably take
; considerable effort.)
(declare (xargs :stobjs state
:guard (symbolp name)))
(let ((wrld (w state)))
(or (getpropc name 'theorem nil wrld)
(mv-let (flg prop)
(constraint-info name wrld)
(cond ((eq prop *unknown-constraints*)
*t*)
(flg (ec-call (conjoin prop)))
(t prop))))))
(verify-termination-boot-strap type-set-quote)
(verify-guards type-set-quote)
(defun typespec-check (ts x)
(declare (xargs :guard (integerp ts)))
(if (bad-atom x)
(< ts 0) ; bad-atom type intersects every complement type
; We would like to write
; (ts-subsetp (type-set-quote x) ts)
; here, but for that we need a stronger guard than (integerp ts), and we prefer
; to keep this simple.
(not (eql 0 (logand (type-set-quote x) ts)))))
(defun meta-extract-rw+-term (term alist equiv rhs state)
; This function supports the function meta-extract-contextual-fact. Neither of
; these functions is intended to be executed.
; Meta-extract-rw+-term creates (logically) a term claiming that term under
; alist is equiv to rhs, where equiv=nil represents 'equal and equiv=t
; represents 'iff. If equiv is not t, nil, or an equivalence relation, then
; *t* is returned.
; Note that this function does not support the use of a geneqv for the equiv
; argument.
(declare (xargs :mode :program ; becomes :logic with system-verify-guards
:stobjs state
:guard (and (symbol-alistp alist)
(pseudo-term-listp (strip-cdrs alist))
(pseudo-termp term))))
(non-exec
(let ((lhs (sublis-var alist term)))
(case equiv
((nil) `(equal ,lhs ,rhs))
((t) `(iff ,lhs ,rhs))
(otherwise
(if (symbolp equiv)
(if (equivalence-relationp equiv (w state))
`(,equiv ,lhs ,rhs)
; else bad equivalence relation
*t*)
*t*))))))
(defun meta-extract-contextual-fact (obj mfc state)
; This function is not intended to be executed.
; This function may be called in the hypothesis of a meta rule, because we know
; it always produces a term that evaluates to non-nil under the mfc where the
; metafunction is called, using the specific alist A for which we're proving
; (evl x a) = (evl (metafn x) a). The terms it produces reflect the
; correctness of certain prover operations -- currently, accessing type-alist
; and typeset information, rewriting, and linear arithmetic. See the Essay on
; Correctness of Meta Reasoning. Note that these operations use the state for
; heuristic purposes, and get their logical information from the world stored
; in mfc (not in state).
; This function avoids forcing and does not return a tag-tree.
(declare (xargs :mode :program ; becomes :logic with system-verify-guards
:stobjs state))
(non-exec
(case-match obj
((':typeset term . &) ; mfc-ts produces correct results
`(typespec-check
',(mfc-ts term mfc state :forcep nil :ttreep nil)
,term))
((':rw+ term alist obj equiv . &) ; result is equiv to term/alist.
(meta-extract-rw+-term term alist equiv
(mfc-rw+ term alist obj equiv mfc state
:forcep nil :ttreep nil)
state))
((':rw term obj equiv . &) ; as for :rw+, with alist of nil
(meta-extract-rw+-term term nil equiv
(mfc-rw term obj equiv mfc state
:forcep nil :ttreep nil)
state))
((':ap term . &) ; Can linear arithmetic can falsify term?
(if (mfc-ap term mfc state :forcep nil)
`(not ,term)
*t*))
((':relieve-hyp hyp alist rune target bkptr . &) ; hyp/alist proved?
(if (mfc-relieve-hyp hyp alist rune target bkptr mfc state
:forcep nil :ttreep nil)
(sublis-var alist hyp)
*t*))
(& *t*))))
(defun rewrite-rule-term (x)
; This function is not intended to be executed. It turns a rewrite-rule record
; into a term.
(declare (xargs :guard t))
(non-exec
(if (eq (access rewrite-rule x :subclass) 'meta)
*t*
`(implies ,(conjoin (access rewrite-rule x :hyps))
(,(access rewrite-rule x :equiv)
,(access rewrite-rule x :lhs)
,(access rewrite-rule x :rhs))))))
(defmacro meta-extract-global-fact (obj state)
; See meta-extract-global-fact+.
`(meta-extract-global-fact+ ,obj ,state ,state))
(defun fncall-term (fn arglist state)
(declare (xargs :stobjs state
:guard (true-listp arglist)))
(mv-let (erp val)
(magic-ev-fncall fn arglist state
t ; hard-error-returns-nilp
nil ; aok
)
(cond (erp *t*)
(t (fcons-term* 'equal
; As suggested by Sol Swords, we use fcons-term below in order to avoid having
; to reason about the application of an evaluator to (cons-term fn ...).
(fcons-term fn (kwote-lst arglist))
(kwote val))))))
(defun logically-equivalent-states (st1 st2)
(declare (xargs :guard t))
(non-exec (equal (w st1) (w st2))))
(defun meta-extract-global-fact+ (obj st state)
; This function is not intended to be executed.
; This function may be called in the hypothesis of a meta rule, because we know
; it always produces a term that evaluates to non-nil for any alist. The terms
; it produces reflect the correctness of certain facts stored in the world.
; See the Essay on Correctness of Meta Reasoning.
(declare (xargs :mode :program ; becomes :logic with system-verify-guards
:stobjs state))
(non-exec
(cond
((logically-equivalent-states st state)
(case-match obj
((':formula name)
(meta-extract-formula name st))
((':lemma fn n)
(let* ((lemmas (getpropc fn 'lemmas nil (w st)))
(rule (nth n lemmas)))
; The use of rewrite-rule-term below relies on the fact that the 'LEMMAS
; property of a symbol in the ACL2 world is a list of rewrite-rule records that
; reflect known facts.
(if (< (nfix n) (len lemmas))
(rewrite-rule-term rule)
*t*))) ; Fn doesn't exist or n is too big.
((':fncall fn arglist)
(non-exec ; avoid guard check
(fncall-term fn arglist st)))
(& *t*)))
(t *t*))))
(add-macro-alias meta-extract-global-fact meta-extract-global-fact+)
;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;
;;; Support for system-verify-guards
;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;
; This section supports a mechanism for users to extend the set of
; guard-verified functions. They do so in community books under books/system/,
; which are checked when building with feature :acl2-devel, for example
; building with `make' with ACL2_DEVEL=d. But normal builds will not set that
; feature, and will simply trust that functions marked in
; *system-verify-guards-alist* can be guard-verified.
; The following commands will check that things are as they should be, after
; adjusting *system-verify-guards-alist* (see comments there). Altogether they
; took only about two minutes on a fast machine in May 2015.
; (time nice make ACL2_DEVEL=d)
; cd books
; make clean ACL2=`pwd`/../saved_acl2d
; time ./build/cert.pl -j 8 --acl2 `pwd`/../saved_acl2d system/top.cert
; cd ..
; (time nice make -j 8 devel-check ACL2=`pwd`/saved_acl2d)
; For details, see the comment just above the call of system-verify-guards near
; the end of this section.
; A flaw in our approach is that user-supplied guard verifications may depend
; on package axioms. Thus, we view such verifications as strong hints, rather
; than as ironclad guarantees that the functions can be guard-verified in
; definitional (or even conservative) extensions of the ground-zero theory. We
; consider this sufficient, as the event that some package axiom will cause
; such bogus marking as guard-verified seems much less likely than the event
; that our system has other serious bugs!
(verify-termination-boot-strap safe-access-command-tuple-form) ; and guards
(defun pair-fns-with-measured-subsets (fns wrld acc)
(declare (xargs :guard (and (symbol-listp fns)
(plist-worldp wrld)
(true-listp acc))))
(cond ((endp fns) (reverse acc))
(t (pair-fns-with-measured-subsets
(cdr fns)
wrld
(cons (let* ((fn (car fns))
(justification (getpropc fn 'justification nil wrld))
(ms (and (consp justification) ; for guard
(consp (cdr justification)) ; for guard
(access justification justification :subset))))
(cons fn ms))
acc)))))
(defun new-verify-guards-fns1 (wrld installed-wrld acc)
(declare (xargs :guard (and (plist-worldp wrld)
(plist-worldp installed-wrld)
(symbol-listp acc))))
(cond ((or (endp wrld)
(and (eq (caar wrld) 'command-landmark)
(eq (cadar wrld) 'global-value)
(equal (safe-access-command-tuple-form (cddar wrld))
'(exit-boot-strap-mode))))
(pair-fns-with-measured-subsets
(strict-merge-sort-symbol-< acc)
installed-wrld
nil))
((and (eq (cadar wrld) 'symbol-class)
(eq (cddar wrld) :COMMON-LISP-COMPLIANT)
(getpropc (caar wrld) 'predefined nil installed-wrld))
(new-verify-guards-fns1 (cdr wrld)
installed-wrld
(cons (caar wrld) acc)))
(t (new-verify-guards-fns1 (cdr wrld) installed-wrld acc))))
(defun new-verify-guards-fns (state)
; It is important for performance that this function be guard-verified, because
; it is called inside an assert-event form in chk-new-verified-guards, which
; causes evaluation to be in safe-mode and would cause evaluation of
; plist-worldp on behalf of guard-checking for new-verify-guards-fns1.
(declare (xargs :stobjs state))
(let ((wrld (w state)))
(new-verify-guards-fns1 wrld wrld nil)))
(defconst *system-verify-guards-alist*
; Each cdr was produced by evaluating
; (new-verify-guards-fns state)
; after including the book indicated in the car in a build with feature
; :acl2-devel set (see discussion in the comment at the top of this section).
; For example, cdr of the entry for "system/top" is produced by evaluating:
; (include-book "system/top" :dir :system).
; The indicated books need to be certified using an ACL2 executable that was
; built with feature :acl2-devel set, but this takes about 2.5 minutes on a
; fast machine in Feb. 2013, as follows:
; make -j 8 regression ACL2_BOOK_DIRS=system ACL2=<:acl2-devel version>
; Each member of each cdr below is of the form (fn . measured-subset).
; Note that it is not necessary to do a full regression with an :acl2-devel
; executable; only the books in the keys of this alist need to be certified.
'(("system/top"
(>=-LEN X)
(ALIST-TO-DOUBLETS ALIST)
(ALL->=-LEN LST)
(ARGLISTP)
(ARGLISTP1 LST)
(ARITIES-OKP USER-TABLE)
(ARITY)
(COLLECT-BY-POSITION FULL-DOMAIN)
(CONS-TERM1-MV2)
(DUMB-NEGATE-LIT)
(FETCH-DCL-FIELD)
(FETCH-DCL-FIELDS LST)
(FETCH-DCL-FIELDS1 LST)
(FETCH-DCL-FIELDS2 KWD-LIST)
(FIND-DOT-DOT I FULL-PATHNAME)
(FIND-FIRST-BAD-ARG ARGS)
(LAMBDA-KEYWORDP)
(LEGAL-CONSTANTP1)
(LEGAL-VARIABLE-OR-CONSTANT-NAMEP)
(LEGAL-VARIABLEP)
(MAKE-LAMBDA-APPLICATION)
(MERGE-SORT-TERM-ORDER L)
(MERGE-TERM-ORDER L2 L1)
(META-EXTRACT-CONTEXTUAL-FACT)
(META-EXTRACT-GLOBAL-FACT+)
(META-EXTRACT-RW+-TERM)
(PLAUSIBLE-DCLSP LST)
(PLAUSIBLE-DCLSP1 LST)
(PLIST-WORLDP-WITH-FORMALS ALIST)
(STRIP-CADRS X)
(STRIP-DCLS LST)
(STRIP-DCLS1 LST)
(STRIP-KEYWORD-LIST LST)
(SUBCOR-VAR FORM)
(SUBCOR-VAR-LST FORMS)
(SUBCOR-VAR1 VARS)
(SUBLIS-VAR)
(SUBLIS-VAR-LST)
(SUBLIS-VAR1 FORM)
(SUBLIS-VAR1-LST L)
(SUBST-EXPR)
(SUBST-EXPR-ERROR)
(SUBST-EXPR1 TERM)
(SUBST-EXPR1-LST ARGS)
(SUBST-VAR FORM)
(SUBST-VAR-LST L)
(TERM-LIST-LISTP L)
(TERM-LISTP X)
(TERM-ORDER)
(TERM-ORDER1)
(TERMP X))))
(defconst *len-system-verify-guards-alist*
(length *system-verify-guards-alist*))
(defmacro chk-new-verified-guards (n)
(cond
((or (not (natp n))
(> n *len-system-verify-guards-alist*))
`(er soft 'chk-new-verified-guards
"The index ~x0 is not a valid index for *system-verify-guards-alist*."
',n))
((eql n *len-system-verify-guards-alist*)
'(value-triple :CHK-NEW-VERIFIED-GUARDS-COMPLETE))
(t
(let* ((pair (nth n *system-verify-guards-alist*))
(user-book-name (car pair))
(fns (cdr pair)))
`(progn (include-book ,user-book-name
:DIR :SYSTEM
:UNCERTIFIED-OKP nil
:DEFAXIOMS-OKP nil
:SKIP-PROOFS-OKP nil
:TTAGS nil)
(assert-event
(equal ',fns
(new-verify-guards-fns state))
:msg (msg "ERROR: The set of newly guard-verified functions ~
from the ACL2 community book ~x0 does not match the ~
expected set from the constant ~
*system-verify-guards-alist*.~|~%From the ~
book:~|~X13~|~%Expected from ~
*system-verify-guards-alist*:~|~X23~|"
',user-book-name
(new-verify-guards-fns state)
',fns
nil))
(value-triple :CHK-NEW-VERIFIED-GUARDS-SUCCESS))))))
(defun system-verify-guards-fn-1 (fns-alist acc)
(declare (xargs :guard (symbol-alistp fns-alist)))
(cond ((endp fns-alist) acc)
(t (system-verify-guards-fn-1
(cdr fns-alist)
(cons `(skip-proofs (verify-termination-boot-strap ; and guards
,(caar fns-alist)
,@(let ((ms (cdar fns-alist)))
(and ms
`((declare (xargs :measure
(:? ,@ms))))))))
acc)))))
(defun cons-absolute-event-numbers (fns-alist wrld acc)
(declare (xargs :guard (and (symbol-alistp fns-alist)
(plist-worldp wrld)
(alistp acc))))
(cond ((endp fns-alist) acc)
(t (cons-absolute-event-numbers
(cdr fns-alist)
wrld
(acons (or (getpropc (caar fns-alist) 'absolute-event-number nil
wrld)
(er hard? 'cons-absolute-event-numbers
"The 'absolute-event-number property is missing ~
for ~x0."
(caar fns-alist)))
(car fns-alist)
acc)))))
(defun sort->-absolute-event-number (fns-alist wrld)
(declare (xargs :mode :program)) ; because of merge-sort-car->
(strip-cdrs (merge-sort-car->
(cons-absolute-event-numbers fns-alist wrld nil))))
(defun system-verify-guards-fn (alist wrld acc)
(declare (xargs :mode :program)) ; because of sort->-absolute-event-number
(cond ((endp alist) acc)
(t (system-verify-guards-fn
(cdr alist)
wrld
(system-verify-guards-fn-1
(sort->-absolute-event-number (cdar alist) wrld)
acc)))))
(defmacro system-verify-guards ()
`(make-event
(let ((events (system-verify-guards-fn *system-verify-guards-alist*
(w state)
nil)))
(list* 'encapsulate
()
'(set-verify-guards-eagerness 2)
events))))
; Normally we go ahead and trust *system-verify-guards-alist*, installing
; guard-verified functions with the following form. But when feature
; :acl2-devel is set, then we do not do so, as we instead intend to run
; (chk-new-verified-guards i) for each i less than the length of
; *system-verify-guards-alist*, in order to check that the effect of
; system-verify-guards is sound. This check is performed by using `make' with
; target devel-check, as shown near the top of this section.
#+(and acl2-loop-only ; Note that make-event can't be called here in raw Lisp.
(not acl2-devel))
(system-verify-guards)
;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;
;;; Support for system-events
;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;
(defmacro system-event (event &optional (book-name '"system/top"))
; (System-event E) expands to (skip-proofs E) during normal builds. However,
; for acl2-devel builds (see discussion under the section "Support for
; system-verify-guards" in boot-strap-pass-2.lisp), we merely add the event to
; a table, to be checked by Make target devel-check, which invokes function
; system-verify-skip-proofs for that purpose.
#+acl2-devel `(table system-event-table ',event ',book-name)
; It is tempting to generate a progn, where the skip-proofs is preceded by:
; (value-triple ,(concatenate 'string "Verified in community book " book-name))
; However, that value-triple event doesn't show up with any of :pe, :pcb, or
; :pcb!, so we won't bother.
#-acl2-devel (declare (ignore book-name))
#-acl2-devel `(skip-proofs ,event))
(defun system-events-fn (events book-name)
(declare (xargs :guard (true-listp events)))
(cond ((endp events) nil)
(t (cons `(system-event ,(car events) ,book-name)
(system-events-fn (cdr events) book-name)))))
(defmacro system-events (book-name &rest events)
(declare (xargs :guard (stringp book-name)))
(cons 'progn (system-events-fn events book-name)))
(defun system-include-book-forms (book-names)
(declare (xargs :guard (true-listp book-names)))
(cond ((endp book-names) nil)
(t (cons `(include-book ,(car book-names) :dir :system)
(system-include-book-forms (cdr book-names))))))
(defmacro check-system-events ()
; Executed by "make devel-check".
`(make-event
(let ((event-book-alist (table-alist 'system-event-table (w state))))
(cons 'progn
(append (system-include-book-forms
(remove-duplicates (strip-cdrs event-book-alist)
:test 'equal))
'((set-enforce-redundancy t))
(strip-cars event-book-alist)
'((value-triple :CHECK-SYSTEM-EVENTS-SUCCESS)))))))
(system-events "system/termp"
(defthm legal-variable-or-constant-namep-implies-symbolp
(implies (not (symbolp x))
(not (legal-variable-or-constant-namep x))))
(in-theory (disable legal-variable-or-constant-namep))
(defthm termp-implies-pseudo-termp
(implies (termp x w)
(pseudo-termp x))
:rule-classes (:rewrite :forward-chaining))
(defthm term-listp-implies-pseudo-term-listp
(implies (term-listp x w)
(pseudo-term-listp x))
:rule-classes (:rewrite :forward-chaining))
(defthm arities-okp-implies-arity
(implies (and (arities-okp user-table w)
(assoc fn user-table))
(equal (arity fn w) (cdr (assoc fn user-table)))))
(in-theory (disable arity arities-okp))
)
;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;
;;; Memoization
;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;
#+(and hons acl2-loop-only)
(progn
; We skip raw Lisp functions here; see *thread-unsafe-builtin-memoizations*.
(memoize 'fchecksum-obj :stats nil :forget t)
(memoize 'expansion-alist-pkg-names-memoize :stats nil :forget t)
; Comment on memoizing a worse-than function:
; In Version_7.0 and several preceding versions, we memoized a "worse-than"
; function as follows.
; (memoize 'worse-than-builtin-memoized :stats nil)
; We now use a clocked version of worse-than and avoid such memoization. See
; worse-than-builtin-clocked for comments about potential memoization.
; To restore such memoization, search for every occurrence of
; "Comment on memoizing a worse-than function".
; Below, we discuss some earlier experiments on memoizing worse-than-builtin or
; the like, on two particular community books:
; - books/coi/dtrees/base.lisp does not benefit from memoization of worse-than
; functions, and can be slowed down by it.
; - books/centaur/esim/stv/stv2c/stv2c.lisp requires memoization of
; worse-than-builtin (or the like) to avoid stalling out in a proof.
; Below we look at some results for the first of these books, using Version_7.0
; except (where indicated below) a development version that was close to
; Version_7.0.
; Except where indicated otherwise, we memoized worse-than-builtin for
; experiments below as follows.
; (memoize 'worse-than-builtin
; :stats nil
; :condition ; Sol Swords suggestion
; '(and (nvariablep term1)
; (not (fquotep term1))
; (nvariablep term2)
; (not (fquotep term2))))
; Specifically, we ran the following commands in the above book's directory.
; (ld "cert.acl2")
; (rebuild "base.lisp" t)
; (in-package "DTREE")
; (ubt! 'aux-domain-of-dtreemapfix)
; (skip-proofs (defthm lemma
; (implies (set::in a (aux-domain (dtreemapfix map)))
; (set::in a (aux-domain map)))))
; In some cases we also ran the following command or the following two commands
; after the commands above but before evaluating the defthm shown below:
; (acl2::unmemoize 'acl2::worse-than-builtin)
; #!acl2(memoize 'worse-than-builtin
; :stats nil
; :forget t
; :condition ; Sol Swords suggestion
; '(and (nvariablep term1)
; (not (fquotep term1))
; (nvariablep term2)
; (not (fquotep term2))))
; Then we submitted the following event.
; (defthm lemma2-for-aux-domain-of-dtreemapfix
; (implies (set::in a (aux-domain map))
; (set::in a (aux-domain (dtreemapfix map)))))
; Times and memory use (last two reports from top) from some experiments are
; shown below. The key is that all runs with worse-than unmemoized were
; significantly faster than all runs with worse-than memoized, regardless of
; various attempts to speed up that memoization.
; With GCL, out of the box:
; Time: 122.34 seconds (prove: 122.33, print: 0.01, other: 0.00)
; 11959 kaufmann 20 0 15.3g 2.8g 53m R 100 9.0 2:05.29 gcl-saved_acl2h
; 11959 kaufmann 20 0 15.3g 2.8g 53m S 21 9.0 2:05.92 gcl-saved_acl2h
; With GCL, after the above unmemoize form:
; Time: 78.72 seconds (prove: 78.72, print: 0.00, other: 0.00)
; 11934 kaufmann 20 0 13.2g 854m 53m R 100 2.7 1:18.68 gcl-saved_acl2h
; 11934 kaufmann 20 0 13.2g 854m 53m S 98 2.7 1:21.64 gcl-saved_acl2h
; With GCL, after the above sequence of unmemoize and memoize:
; Time: 94.45 seconds (prove: 94.44, print: 0.01, other: 0.00)
; 11995 kaufmann 20 0 13.8g 727m 53m R 100 2.3 1:35.62 gcl-saved_acl2h
; 11995 kaufmann 20 0 13.8g 727m 53m S 62 2.3 1:37.47 gcl-saved_acl2h
; With CCL, out of the box:
; Time: 131.46 seconds (prove: 131.42, print: 0.04, other: 0.00)
; 12044 kaufmann 20 0 512g 1.8g 17m S 100 5.6 2:10.31 lx86cl64
; 12044 kaufmann 20 0 512g 1.8g 17m S 81 5.6 2:12.73 lx86cl64
; With CCL, after the above unmemoize form:
; Time: 89.83 seconds (prove: 89.82, print: 0.00, other: 0.00)
; 12068 kaufmann 20 0 512g 1.3g 17m S 99 4.2 1:29.91 lx86cl64
; 12068 kaufmann 20 0 512g 1.4g 17m S 40 4.4 1:31.12 lx86cl64
; With CCL, after the above sequence of unmemoize and memoize:
; Time: 147.46 seconds (prove: 147.44, print: 0.02, other: 0.00)
; 12093 kaufmann 20 0 512g 804m 18m S 100 2.5 2:27.86 lx86cl64
; 12093 kaufmann 20 0 512g 1.0g 18m S 30 3.2 2:28.77 lx86cl64
; All of the above were run with EGC off (the default at the time). Now we
; repeat some of the above tests, but after turning EGC on as follows.
; (acl2::value :q) (ccl::egc t) (acl2::lp)
; With CCL, out of the box:
; Time: 1439.72 seconds (prove: 1439.71, print: 0.01, other: 0.00)
; 12127 kaufmann 20 0 512g 3.0g 35m S 100 9.4 23:58.68 lx86cl64
; 12127 kaufmann 20 0 512g 3.0g 35m S 78 9.4 24:01.03 lx86cl64
; With CCL, after the above unmemoize form:
; Time: 87.27 seconds (prove: 87.26, print: 0.01, other: 0.00)
; 12362 kaufmann 20 0 512g 407m 35m S 100 1.3 1:25.72 lx86cl64
; 12362 kaufmann 20 0 512g 417m 35m S 93 1.3 1:28.51 lx86cl64
; With CCL, after the above sequence of unmemoize and memoize:
; Time: 135.92 seconds (prove: 135.90, print: 0.02, other: 0.00)
; 12384 kaufmann 20 0 512g 705m 36m S 0 2.2 2:17.39 lx86cl64
; 12384 kaufmann 20 0 512g 705m 36m S 0 2.2 2:17.40 lx86cl64
; As just above, but after redefining waterfall1 in raw Lisp so that its
; body is (prog2$ (clear-memoize-table 'worse-than-builtin) <old-body>)
; Time: 134.38 seconds (prove: 134.37, print: 0.02, other: 0.00)
; 12631 kaufmann 20 0 512g 691m 36m S 99 2.1 2:14.64 lx86cl64
; 12631 kaufmann 20 0 512g 698m 36m S 38 2.2 2:15.79 lx86cl64
; All of the above used ACL2 Version_7.0. The tests below were run with a
; development copy as of 1/21/2015 (a mere 9 days after the release of 7.0).
; We continue to turn EGC on at the start, as above.
; With CCL, after the above sequence of unmemoize and memoize:
; Time: 135.80 seconds (prove: 135.79, print: 0.01, other: 0.00)
; 13018 kaufmann 20 0 512g 664m 36m S 99 2.1 2:15.91 lx86cl64
; 13018 kaufmann 20 0 512g 671m 36m S 42 2.1 2:17.16 lx86cl64
; With CCL executable built without start-sol-gc (now called
; set-gc-strategy-builtin-delay) and with EGC on, after the above sequence of
; unmemoize and memoize:
; Time: 136.47 seconds (prove: 136.45, print: 0.02, other: 0.00)
; 13049 kaufmann 20 0 512g 59m 36m S 99 0.2 2:14.93 lx86cl64
; 13049 kaufmann 20 0 512g 59m 36m S 96 0.2 2:17.81 lx86cl64
; With CCL executable built without start-sol-gc (now called
; set-gc-strategy-builtin-delay) and with EGC on, after the above unmemoize
; form:
; Time: 86.33 seconds (prove: 86.33, print: 0.01, other: 0.00)
; 13178 kaufmann 20 0 512g 58m 35m S 100 0.2 1:27.18 lx86cl64
; 13178 kaufmann 20 0 512g 58m 35m S 17 0.2 1:27.70 lx86cl64
; With CCL executable built without start-sol-gc (now called
; set-gc-strategy-builtin-delay) and with EGC on, out of the box except for
; redefining waterfall1 in raw Lisp so that its body is (prog2$
; (clear-memoize-table 'worse-than-builtin) <old-body>); notice that :forget
; remains nil.
; Time: 182.61 seconds (prove: 182.58, print: 0.02, other: 0.00)
; 13135 kaufmann 20 0 512g 137m 17m S 100 0.4 3:02.78 lx86cl64
; 13135 kaufmann 20 0 512g 137m 17m S 37 0.4 3:03.90 lx86cl64
)
;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;
;;; End
;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;
(deflabel
; WARNING: Put this at the end of the last file in
; *acl2-pass-2-files*.
end-of-pass-2)
|