Relation OVERLAPS

• Defined in theory: Jat-generic
• Source code: job-assignment-generic.lisp

Slots on this relation:

Documentation:

a time range ?tr1 and a time range ?tr2 overlaps.

Instance-Of: Relation

Arity: 2

Equivalence Axioms:

(<=> (Overlaps ?Tr1 ?Tr2)
     (And (Tp< (Time-Range.Start-Time ?Tr1)
               (Time-Range.Start-Time ?Tr2))
          (Tp< (Time-Range.Start-Time ?Tr2)
               (Time-Range.End-Time ?Tr1))
          (Tp< (Time-Range.End-Time ?Tr1) (Time-Range.End-Time ?Tr2))))

Other Related Axioms:

(<=> (Overlaps ?Tr1 ?Tr2)
     (And (Tp< (Time-Range.Start-Time ?Tr1)
               (Time-Range.Start-Time ?Tr2))
          (Tp< (Time-Range.Start-Time ?Tr2)
               (Time-Range.End-Time ?Tr1))
          (Tp< (Time-Range.End-Time ?Tr1) (Time-Range.End-Time ?Tr2))))

(<=> (Overlaps= ?Tr1 ?Tr2)
     (Or (Overlaps ?Tr1 ?Tr2) (Meets ?Tr1 ?Tr2)))