Module Absint.AbstractDomain

Abstract domains and domain combinators

module Types : sig ... end
module type Comparable = sig ... end
module type Disjunct = sig ... end
module type S = sig ... end
include sig ... end
type empty = |
module Empty : S with type t = empty
module Unit : S with type t = unit

a trivial domain

module type WithBottom = sig ... end

A domain with an explicit bottom value

module type WithTop = sig ... end

A domain with an explicit top value

module type WithBottomTop = sig ... end

A domain with an explicit bottom and top values

module BottomLifted (Domain : S) : sig ... end

Create a domain with Bottom element from a pre-domain

module BottomLiftedUtils : sig ... end
module TopLifted (Domain : S) : sig ... end

Create a domain with Top element from a pre-domain

module TopLiftedUtils : sig ... end

Create a domain with Bottom and Top elements from a pre-domain

module Pair (Domain1 : S) (Domain2 : S) : S with type t = Domain1.t * Domain2.t

Cartesian product of two domains.

Flat abstract domain: Bottom, Top, and non-comparable elements in between

include sig ... end
module Stacked (Below : S) (Val : S) (Above : S) : S with type t = (Below.t, Val.t, Above.t) Types.below_above

Stacked abstract domain: tagged union of Below, Val, and Above domains where all elements of Below are strictly smaller than all elements of Val which are strictly smaller than all elements of Above

module StackedUtils : sig ... end

Abstracts a set of Elements by keeping its smallest representative only. The widening is terminating only if the order fulfills the descending chain condition.

module type FiniteSetS = sig ... end
include sig ... end

Lift a PPSet to a powerset domain ordered by subset. The elements of the set should be drawn from a *finite* collection of possible values, since the widening operator here is just union.

Lift a set to a powerset domain ordered by subset. The elements of the set should be drawn from a *finite* collection of possible values, since the widening operator here is just union.

module type InvertedSetS = sig ... end

Lift a set to a powerset domain ordered by superset, so the join operator is intersection

module type MapS = sig ... end
include sig ... end

Map domain ordered by union over the set of bindings, so the bottom element is the empty map. Every element implicitly maps to bottom unless it is explicitly bound to something else. Uses PPMap as the underlying map

Map domain ordered by union over the set of bindings, so the bottom element is the empty map. Every element implicitly maps to bottom unless it is explicitly bound to something else

module type InvertedMapS = sig ... end

Map domain ordered by intersection over the set of bindings, so the top element is the empty map. Every element implictly maps to top unless it is explicitly bound to something else

Similar to InvertedMap but it guarantees that it has a canonical form. For example, both {a -> top_v} and empty represent the same abstract value top in InvertedMap, but in this implementation, top is always implemented as empty by not adding the top_v explicitly.

include sig ... end
module BooleanAnd : S with type t = bool

Boolean domain ordered by p || ~q. Useful when you want a boolean that's true only when it's true in both conditional branches.

module BooleanOr : sig ... end

Boolean domain ordered by ~p || q. Useful when you want a boolean that's true only when it's true in one conditional branch.

module type MaxCount = sig ... end
module CountDomain (MaxCount : MaxCount) : sig ... end

Domain keeping a non-negative count with a bounded maximum value. The count can be only incremented and decremented.

module DownwardIntDomain (MaxCount : MaxCount) : sig ... end

Domain keeping a non-negative count with a bounded maximum value. join is minimum and top is zero.