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Datei: Sprache: Lisp

Original von: PVS^©

(NaN_ops
(mk_quiet_correct 0
  (mk_quiet_correct-1 nil 3507032125
   ("" (grind)
    (("" (lemma "fp_num_NaN_eta") (("" (inst?) (("" (assert) nil))))))
    nil)
   ((E_min formal-const-decl "{i: integer | E_max > i}" NaN_ops nil)
    (E_max formal-const-decl "integer" NaN_ops nil)
    (integer nonempty-type-from-decl nil integers nil)
    (p formal-const-decl "above(1)" NaN_ops nil)
    (b formal-const-decl "above(1)" NaN_ops nil)
    (above nonempty-type-eq-decl nil integers nil)
    (> const-decl "bool" reals nil)
    (bool nonempty-type-eq-decl nil booleans nil)
    (int nonempty-type-eq-decl nil integers nil)
    (integer_pred const-decl "[rational -> boolean]" integers nil)
    (rational nonempty-type-from-decl nil rationals nil)
    (rational_pred const-decl "[real -> boolean]" rationals nil)
    (real nonempty-type-from-decl nil reals nil)
    (real_pred const-decl "[number_field -> boolean]" reals nil)
    (number_field nonempty-type-from-decl nil number_fields nil)
    (number_field_pred const-decl "[number -> boolean]" number_fields
     nil)
    (boolean nonempty-type-decl nil booleans nil)
    (number nonempty-type-decl nil numbers nil)
    (fp_num_NaN_eta formula-decl nil IEEE_854_values nil)
    (fp_num type-decl nil IEEE_854_values nil)
    (NaN? adt-recognizer-decl "[fp_num -> boolean]" IEEE_854_values
     nil)
    (mk_quiet const-decl "fp_num" NaN_ops nil)
    (signal? const-decl "bool" NaN_ops nil))
   nil))
(fp_quiet_TCC1 0
  (fp_quiet_TCC1-1 nil 3507032125
   (""
    (inst +
     "lambda op,fp1,(fp2|NaN?(fp1) or NaN?(fp2)): if NaN?(fp1) then fp1 else fp2 endif")
    (("1" (skolem-typepred) (("1" (prop) nil))) ("2" (skosimp*) nil))
    nil)
   ((IMPLIES const-decl "[bool, bool -> bool]" booleans nil)
    (NOT const-decl "[bool -> bool]" booleans nil)
    (IF const-decl "[boolean, T, T -> T]" if_def nil)
    (= const-decl "[T, T -> boolean]" equalities nil)
    (NaN? adt-recognizer-decl "[fp_num -> boolean]" IEEE_854_values
     nil)
    (OR const-decl "[bool, bool -> bool]" booleans nil)
    (fp_num type-decl nil IEEE_854_values nil)
    (E_min formal-const-decl "{i: integer | E_max > i}" NaN_ops nil)
    (E_max formal-const-decl "integer" NaN_ops nil)
    (integer nonempty-type-from-decl nil integers nil)
    (p formal-const-decl "above(1)" NaN_ops nil)
    (b formal-const-decl "above(1)" NaN_ops nil)
    (above nonempty-type-eq-decl nil integers nil)
    (> const-decl "bool" reals nil)
    (bool nonempty-type-eq-decl nil booleans nil)
    (int nonempty-type-eq-decl nil integers nil)
    (integer_pred const-decl "[rational -> boolean]" integers nil)
    (rational nonempty-type-from-decl nil rationals nil)
    (rational_pred const-decl "[real -> boolean]" rationals nil)
    (real nonempty-type-from-decl nil reals nil)
    (real_pred const-decl "[number_field -> boolean]" reals nil)
    (number_field nonempty-type-from-decl nil number_fields nil)
    (number_field_pred const-decl "[number -> boolean]" number_fields
     nil)
    (boolean nonempty-type-decl nil booleans nil)
    (number nonempty-type-decl nil numbers nil)
    (fp_ops type-decl nil enumerated_type_defs nil))
   nil))
(fp_signal_TCC1 0
  (fp_signal_TCC1-1 nil 3507032125
   ("" (skolem-typepred) (("" (grind) nil)) nil)
   ((mk_quiet const-decl "fp_num" NaN_ops nil)
    (NaN? adt-recognizer-decl "[fp_num -> boolean]" IEEE_854_values
     nil)
    (fp_num type-decl nil IEEE_854_values nil)
    (E_min formal-const-decl "{i: integer | E_max > i}" NaN_ops nil)
    (E_max formal-const-decl "integer" NaN_ops nil)
    (integer nonempty-type-from-decl nil integers nil)
    (p formal-const-decl "above(1)" NaN_ops nil)
    (b formal-const-decl "above(1)" NaN_ops nil)
    (above nonempty-type-eq-decl nil integers nil)
    (> const-decl "bool" reals nil)
    (int nonempty-type-eq-decl nil integers nil)
    (integer_pred const-decl "[rational -> boolean]" integers nil)
    (rational nonempty-type-from-decl nil rationals nil)
    (rational_pred const-decl "[real -> boolean]" rationals nil)
    (real nonempty-type-from-decl nil reals nil)
    (real_pred const-decl "[number_field -> boolean]" reals nil)
    (number_field nonempty-type-from-decl nil number_fields nil)
    (number_field_pred const-decl "[number -> boolean]" number_fields
     nil)
    (number nonempty-type-decl nil numbers nil)
    (OR const-decl "[bool, bool -> bool]" booleans nil)
    (NOT const-decl "[bool -> bool]" booleans nil)
    (bool nonempty-type-eq-decl nil booleans nil)
    (boolean nonempty-type-decl nil booleans nil))
   nil))
(NaN_ops_correct_TCC1 0
  (NaN_ops_correct_TCC1-1 nil 3507032125 ("" (tcc :defs !) nil nil)
   ((signal? const-decl "bool" NaN_ops nil)
    (E_min formal-const-decl "{i: integer | E_max > i}" NaN_ops nil)
    (E_max formal-const-decl "integer" NaN_ops nil)
    (integer nonempty-type-from-decl nil integers nil)
    (p formal-const-decl "above(1)" NaN_ops nil)
    (b formal-const-decl "above(1)" NaN_ops nil)
    (above nonempty-type-eq-decl nil integers nil)
    (> const-decl "bool" reals nil)
    (bool nonempty-type-eq-decl nil booleans nil)
    (int nonempty-type-eq-decl nil integers nil)
    (integer_pred const-decl "[rational -> boolean]" integers nil)
    (rational nonempty-type-from-decl nil rationals nil)
    (rational_pred const-decl "[real -> boolean]" rationals nil)
    (real nonempty-type-from-decl nil reals nil)
    (real_pred const-decl "[number_field -> boolean]" reals nil)
    (number_field nonempty-type-from-decl nil number_fields nil)
    (number_field_pred const-decl "[number -> boolean]" number_fields
     nil)
    (boolean nonempty-type-decl nil booleans nil)
    (number nonempty-type-decl nil numbers nil)
    (invalid const-decl "(NaN?)" IEEE_854_values nil)
    (mk_quiet const-decl "fp_num" NaN_ops nil)
    (fp_signal const-decl "fp_num" NaN_ops nil)
    (fp_nan const-decl "fp_num" NaN_ops nil))
   nil))
(NaN_ops_correct 0
  (NaN_ops_correct-1 nil 3507032125
   ("" (skosimp*)
    (("" (expand "fp_nan")
      (("" (lift-if)
        (("" (expand "fp_signal")
          (("" (assert)
            (("" (split 2)
              (("1" (flatten)
                (("1" (hide -1)
                  (("1"
                    (typepred
                     "fp_quiet(op!1, mk_quiet(fp1!1), mk_quiet(fp2!1))")
                    (("1" (grind) nil) ("2" (grind) nil)))))))
               ("2" (flatten)
                (("2" (typepred "fp_quiet(op!1, fp1!1, fp2!1)")
                  (("1" (expand "signal?") (("1" (grind) nil)))
                   ("2" (propax) nil))))))))))))))))
    nil)
   ((fp_nan const-decl "fp_num" NaN_ops nil)
    (fp_signal const-decl "fp_num" NaN_ops nil)
    (boolean nonempty-type-decl nil booleans nil)
    (bool nonempty-type-eq-decl nil booleans nil)
    (NOT const-decl "[bool -> bool]" booleans nil)
    (number nonempty-type-decl nil numbers nil)
    (number_field_pred const-decl "[number -> boolean]" number_fields
     nil)
    (number_field nonempty-type-from-decl nil number_fields nil)
    (real_pred const-decl "[number_field -> boolean]" reals nil)
    (real nonempty-type-from-decl nil reals nil)
    (rational_pred const-decl "[real -> boolean]" rationals nil)
    (rational nonempty-type-from-decl nil rationals nil)
    (integer_pred const-decl "[rational -> boolean]" integers nil)
    (int nonempty-type-eq-decl nil integers nil)
    (> const-decl "bool" reals nil)
    (above nonempty-type-eq-decl nil integers nil)
    (b formal-const-decl "above(1)" NaN_ops nil)
    (p formal-const-decl "above(1)" NaN_ops nil)
    (integer nonempty-type-from-decl nil integers nil)
    (E_max formal-const-decl "integer" NaN_ops nil)
    (E_min formal-const-decl "{i: integer | E_max > i}" NaN_ops nil)
    (fp_num type-decl nil IEEE_854_values nil)
    (NaN? adt-recognizer-decl "[fp_num -> boolean]" IEEE_854_values
     nil)
    (fp_ops type-decl nil enumerated_type_defs nil)
    (OR const-decl "[bool, bool -> bool]" booleans nil)
    (= const-decl "[T, T -> boolean]" equalities nil)
    (fp_quiet const-decl "{nan | nan = fp1 OR nan = fp2}" NaN_ops nil)
    (mk_quiet const-decl "fp_num" NaN_ops nil)
    (signal? const-decl "bool" NaN_ops nil))
   nil)))

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