• Top
  • Documentation
  • Books
  • Boolean-reasoning
  • Projects
  • Debugging
  • Std
  • Proof-automation
  • Macro-libraries
  • ACL2
  • Interfacing-tools
  • Hardware-verification
    • Gl
    • Esim
    • Vl2014
      • Warnings
      • Primitives
      • Use-set
      • Syntax
      • Getting-started
      • Utilities
      • Loader
      • Transforms
        • Expression-sizing
        • Occform
        • Oprewrite
        • Expand-functions
        • Delayredux
        • Unparameterization
        • Caseelim
          • Vl-casezx-stmt-elim
          • Vl-casezx-matchexpr
          • Vl-modulelist-caseelim
          • Vl-casezx-match-any-expr
          • Vl-casestmt-elim
          • Vl-casestmt-size-warnings
          • Vl-casezx-elim-aux
          • Vl-stmt-caseelim
          • Case-statement-problems
          • Vl-casestmt-compare-expr
          • Vl-initiallist-caseelim
          • Vl-alwayslist-caseelim
          • Vl-casestmt-elim-aux
          • Vl-initial-caseelim
          • Vl-always-caseelim
          • Vl-casestmt-sizes-agreep
          • Vl-module-caseelim
          • Vl-design-caseelim
        • Split
        • Selresolve
        • Weirdint-elim
        • Vl-delta
        • Replicate-insts
        • Rangeresolve
        • Propagate
        • Clean-selects
        • Clean-params
        • Blankargs
        • Inline-mods
        • Expr-simp
        • Trunc
        • Always-top
        • Gatesplit
        • Gate-elim
        • Expression-optimization
        • Elim-supplies
        • Wildelim
        • Drop-blankports
        • Clean-warnings
        • Addinstnames
        • Custom-transform-hooks
        • Annotate
        • Latchcode
        • Elim-unused-vars
        • Problem-modules
      • Lint
      • Mlib
      • Server
      • Kit
      • Printer
      • Esim-vl
      • Well-formedness
    • Sv
    • Vwsim
    • Fgl
    • Vl
    • X86isa
    • Svl
    • Rtl
  • Software-verification
  • Math
  • Testing-utilities

• Caseelim

Vl-initial-caseelim

Signature

(vl-initial-caseelim x warnings ss) → (mv warnings new-x)

Arguments

x — Guard (vl-initial-p x).

warnings — Guard (vl-warninglist-p warnings).

ss — Guard (vl-scopestack-p ss).

Returns

warnings — Type (vl-warninglist-p warnings).

new-x — Type (vl-initial-p new-x).

Definitions and Theorems

Function: vl-initial-caseelim

(defun vl-initial-caseelim (x warnings ss)
  (declare (xargs :guard (and (vl-initial-p x)
                              (vl-warninglist-p warnings)
                              (vl-scopestack-p ss))))
  (let ((__function__ 'vl-initial-caseelim))
    (declare (ignorable __function__))
    (b* ((x (vl-initial-fix x))
         ((mv warnings stmt)
          (vl-stmt-caseelim (vl-initial->stmt x)
                            x warnings ss))
         (x-prime (change-vl-initial x :stmt stmt)))
      (mv warnings x-prime))))

Theorem: vl-warninglist-p-of-vl-initial-caseelim.warnings

(defthm vl-warninglist-p-of-vl-initial-caseelim.warnings
  (b* (((mv ?warnings ?new-x)
        (vl-initial-caseelim x warnings ss)))
    (vl-warninglist-p warnings))
  :rule-classes :rewrite)

Theorem: vl-initial-p-of-vl-initial-caseelim.new-x

(defthm vl-initial-p-of-vl-initial-caseelim.new-x
  (b* (((mv ?warnings ?new-x)
        (vl-initial-caseelim x warnings ss)))
    (vl-initial-p new-x))
  :rule-classes :rewrite)

Theorem: vl-initial-caseelim-of-vl-initial-fix-x

(defthm vl-initial-caseelim-of-vl-initial-fix-x
  (equal (vl-initial-caseelim (vl-initial-fix x)
                              warnings ss)
         (vl-initial-caseelim x warnings ss)))

Theorem: vl-initial-caseelim-vl-initial-equiv-congruence-on-x

(defthm vl-initial-caseelim-vl-initial-equiv-congruence-on-x
  (implies (vl-initial-equiv x x-equiv)
           (equal (vl-initial-caseelim x warnings ss)
                  (vl-initial-caseelim x-equiv warnings ss)))
  :rule-classes :congruence)

Theorem: vl-initial-caseelim-of-vl-warninglist-fix-warnings

(defthm vl-initial-caseelim-of-vl-warninglist-fix-warnings
  (equal (vl-initial-caseelim x (vl-warninglist-fix warnings)
                              ss)
         (vl-initial-caseelim x warnings ss)))

Theorem: vl-initial-caseelim-vl-warninglist-equiv-congruence-on-warnings

(defthm
    vl-initial-caseelim-vl-warninglist-equiv-congruence-on-warnings
  (implies (vl-warninglist-equiv warnings warnings-equiv)
           (equal (vl-initial-caseelim x warnings ss)
                  (vl-initial-caseelim x warnings-equiv ss)))
  :rule-classes :congruence)

Theorem: vl-initial-caseelim-of-vl-scopestack-fix-ss

(defthm vl-initial-caseelim-of-vl-scopestack-fix-ss
  (equal (vl-initial-caseelim x warnings (vl-scopestack-fix ss))
         (vl-initial-caseelim x warnings ss)))

Theorem: vl-initial-caseelim-vl-scopestack-equiv-congruence-on-ss

(defthm vl-initial-caseelim-vl-scopestack-equiv-congruence-on-ss
  (implies (vl-scopestack-equiv ss ss-equiv)
           (equal (vl-initial-caseelim x warnings ss)
                  (vl-initial-caseelim x warnings ss-equiv)))
  :rule-classes :congruence)