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Logic Journal of IGPL 2005 13(2):211-229; doi:10.1093/jigpal/jzi015
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© The Author, 2005. Published by Oxford University Press. All rights reserved.

Original Articles

Semipositive LTL with an Uninterpreted Past Operator

John Slaney

Australian National University and National ICT, Australia. Email: John.Slaney{at}nicta.com.au

$LTL is a version of linear temporal logic in which eventualities are not expressible, but in which there is a sentential constant $ intended to be true just at the end of some behaviour of interest—that is, to mark the end of the accepted (finite) words of some language. There is an effectively recognisable class of $LTL formulae which express behaviours, but in a sense different from the standard one of temporal logics like LTL or CTL. This representation is useful for solving a class of decision processes with temporally extended goals, which in turn are useful for representing an important class of AI planning problems.

Key Words: linear temporal logic, decision processes

Received 24 November 2003. Revised 4 November 2004.


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