Documentation

Std.Tactic.BVDecide.Bitblast.BVExpr.Circuit.Impl.Operations.ShiftRight

This module contains the implementation of a bitblaster for BitVec.shiftRight. It distinguishes two cases:

  1. Shifting by a constant distance (trivial)
  2. Shifting by a symbolic BitVec distance (requires symbolic branches over the distance).
def Std.Tactic.BVDecide.BVExpr.bitblast.blastShiftRightConst {α : Type} [Hashable α] [DecidableEq α] {w : Nat} (aig : Std.Sat.AIG α) (target : aig.ShiftTarget w) :
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    @[irreducible]
    def Std.Tactic.BVDecide.BVExpr.bitblast.blastShiftRightConst.go {α : Type} [Hashable α] [DecidableEq α] {w : Nat} (aig : Std.Sat.AIG α) (input : aig.RefVec w) (distance : Nat) (curr : Nat) (hcurr : curr w) (s : aig.RefVec curr) :
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      @[irreducible]
      theorem Std.Tactic.BVDecide.BVExpr.bitblast.blastShiftRightConst.go_le_size {α : Type} [Hashable α] [DecidableEq α] {w : Nat} (aig : Std.Sat.AIG α) (distance : Nat) (input : aig.RefVec w) (curr : Nat) (hcurr : curr w) (s : aig.RefVec curr) :
      aig.decls.size (Std.Tactic.BVDecide.BVExpr.bitblast.blastShiftRightConst.go aig input distance curr hcurr s).aig.decls.size
      @[irreducible]
      theorem Std.Tactic.BVDecide.BVExpr.bitblast.blastShiftRightConst.go_decl_eq {α : Type} [Hashable α] [DecidableEq α] {w : Nat} (aig : Std.Sat.AIG α) (distance : Nat) (input : aig.RefVec w) (curr : Nat) (hcurr : curr w) (s : aig.RefVec curr) (idx : Nat) (h1 : idx < aig.decls.size) (h2 : idx < (Std.Tactic.BVDecide.BVExpr.bitblast.blastShiftRightConst.go aig input distance curr hcurr s).aig.decls.size) :
      (Std.Tactic.BVDecide.BVExpr.bitblast.blastShiftRightConst.go aig input distance curr hcurr s).aig.decls[idx] = aig.decls[idx]
      instance Std.Tactic.BVDecide.BVExpr.bitblast.instLawfulVecOperatorShiftTargetBlastShiftRightConst {α : Type} [Hashable α] [DecidableEq α] :
      Std.Sat.AIG.LawfulVecOperator α Std.Sat.AIG.ShiftTarget fun {len : Nat} => Std.Tactic.BVDecide.BVExpr.bitblast.blastShiftRightConst
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        @[irreducible]
        def Std.Tactic.BVDecide.BVExpr.bitblast.blastArithShiftRightConst.go {α : Type} [Hashable α] [DecidableEq α] {w : Nat} {aig : Std.Sat.AIG α} (input : aig.RefVec w) (distance : Nat) (curr : Nat) (hcurr : curr w) (s : aig.RefVec curr) :
        aig.RefVec w
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          instance Std.Tactic.BVDecide.BVExpr.bitblast.instLawfulVecOperatorShiftTargetBlastArithShiftRightConst {α : Type} [Hashable α] [DecidableEq α] :
          Std.Sat.AIG.LawfulVecOperator α Std.Sat.AIG.ShiftTarget fun {len : Nat} => Std.Tactic.BVDecide.BVExpr.bitblast.blastArithShiftRightConst
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          • n : Nat
          • lhs : aig.RefVec w
          • rhs : aig.RefVec self.n
          • pow : Nat
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              instance Std.Tactic.BVDecide.BVExpr.bitblast.blastShiftRight.instLawfulVecOperatorTwoPowShiftTargetTwoPowShift {α : Type} [Hashable α] [DecidableEq α] :
              Std.Sat.AIG.LawfulVecOperator α Std.Tactic.BVDecide.BVExpr.bitblast.blastShiftRight.TwoPowShiftTarget fun {len : Nat} => Std.Tactic.BVDecide.BVExpr.bitblast.blastShiftRight.twoPowShift
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              def Std.Tactic.BVDecide.BVExpr.bitblast.blastShiftRight {α : Type} [Hashable α] [DecidableEq α] {w : Nat} (aig : Std.Sat.AIG α) (target : aig.ArbitraryShiftTarget w) :
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                @[irreducible]
                def Std.Tactic.BVDecide.BVExpr.bitblast.blastShiftRight.go {α : Type} [Hashable α] [DecidableEq α] {w : Nat} {n : Nat} (aig : Std.Sat.AIG α) (distance : aig.RefVec n) (curr : Nat) (acc : aig.RefVec w) :
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                  @[irreducible]
                  theorem Std.Tactic.BVDecide.BVExpr.bitblast.blastShiftRight.go_le_size {α : Type} [Hashable α] [DecidableEq α] {n : Nat} {w : Nat} (aig : Std.Sat.AIG α) (distance : aig.RefVec n) (curr : Nat) (acc : aig.RefVec w) :
                  aig.decls.size (Std.Tactic.BVDecide.BVExpr.bitblast.blastShiftRight.go aig distance curr acc).aig.decls.size
                  @[irreducible]
                  theorem Std.Tactic.BVDecide.BVExpr.bitblast.blastShiftRight.go_decl_eq {α : Type} [Hashable α] [DecidableEq α] {n : Nat} {w : Nat} (aig : Std.Sat.AIG α) (distance : aig.RefVec n) (curr : Nat) (acc : aig.RefVec w) (idx : Nat) (h1 : idx < aig.decls.size) (h2 : idx < (Std.Tactic.BVDecide.BVExpr.bitblast.blastShiftRight.go aig distance curr acc).aig.decls.size) :
                  (Std.Tactic.BVDecide.BVExpr.bitblast.blastShiftRight.go aig distance curr acc).aig.decls[idx] = aig.decls[idx]
                  instance Std.Tactic.BVDecide.BVExpr.bitblast.instLawfulVecOperatorArbitraryShiftTargetBlastShiftRight {α : Type} [Hashable α] [DecidableEq α] :
                  Std.Sat.AIG.LawfulVecOperator α Std.Sat.AIG.ArbitraryShiftTarget fun {len : Nat} => Std.Tactic.BVDecide.BVExpr.bitblast.blastShiftRight
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