FreeDistributiveLattice
class FreeDistributiveLattice<A> : HeytingAlgebra<FreeDistributiveLattice<A>>
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The free distributive lattice over an arbitrary set A of elements. In addition to lattice identities, the following hold:
a /\ (b \/ c) == (a /\ b) \/ (a /\ c)
a \/ (b /\ c) == (a \/ b) /\ (a \/ c)
Constructors
FreeDistributiveLattice
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Types
Functions
imply
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open override fun imply(that: FreeDistributiveLattice<A>): FreeDistributiveLattice<A>
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Returns the relative pseudocomplement of this relative to that. the relative pseudocomplement is greatest x s.t. this & x <= that.
join
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open override fun join(that: FreeDistributiveLattice<A>): FreeDistributiveLattice<A>
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The least upper bound of this and that.
lessThanOrEqualTo
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open override fun lessThanOrEqualTo(that: FreeDistributiveLattice<A>): Boolean
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Returns true if this is ordered before that.
meet
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open override fun meet(that: FreeDistributiveLattice<A>): FreeDistributiveLattice<A>
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The greatest lower bound of this and that.