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intervalalgebra
The intervalalgebra
package implements Allen's interval algebra in Haskell. The main module provides data types and related classes for the intervalbased temporal logic described in Allen (1983) and axiomatized in Allen and Hayes (1987). A good primer on Allen's algebra can be found here.
Design
The module is built around three typeclasses designed to separate concerns of constructing, relating, and combining types that contain Interval
s:
Intervallic
provides an interface to the data structures which contain anInterval
.IntervalCombinable
provides an interface to methods of combining twoInterval
s.IntervalSizeable
provides methods for measuring and modifying the size of an interval.
An advantage of nested typeclass design is that developers can define an Interval
of type a
with just the amount of structure that they need.
Axiom tests
The package [includes tests](test/IntervalAlgebraSpec.hs) that the functions of the IntervalAlgebraic
typeclass meets the axioms for intervals (not points) as laid out in Allen and Hayes (1987).