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Logic Journal of IGPL 2001 9(5):677-685; doi:10.1093/jigpal/9.5.677
© 2001 by Oxford University Press
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Original Article

Interval-Related Interpolation in Interval Temporal Logics

Dimitar P. Guelev

Section of Logic, Institute of Mathematics and Informatics, Bulgarian Academy of Sciences. E-mail: gelevdp{at}math.bas.bg

This paper presents a new kind of interpolation theorems about Neighbourhood Logic (NL, [10]) and Interval Temporal Logic (ITL, [8, 4]). Unlike Craig interpolation, which holds for these logics too, the new theorems treat the existence of interpolants which specify properties of selected intervals in the models of NL and ITL.

Key Words: interval temporal logic, interpolation

Received July 2001.


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