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License: MIT License
Generic math programming and algebraic typeclass abstractions for Scala
License: MIT License
Uppersemilattice
and Lowersemilattice
should not have monoids.
The max value in a uppersemilattice is not the identity element under the sup operator, as sup(max, v) returns max, instead of v.
Affects Eq
/Hashing
/PartialOrder
/Order
.
The le
method in the trait LowerSemilattice
is defined using the eq
method from the super trait PartialOrder
:
def le(x: X, y: X) = eq(x, inf(x, y))
However, in that super trait, eq
depends on le
:
def eq(x: X, y: X) = le(x, y) && le(y, x)
The two methods depend on each other, resulting in a recursive definition, and could very likely cause runtime errors, consequently.
The same issue is also found in the trait UpperSemilattice
.
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