M
[Mar03] Nicolas Markey. Temporal Logic with Past is Exponentially More Succinct. EATCS Bulletin 79:122-128. EATCS, February 2003.
Abstract

We positively answer the old question whether temporal logic with past is more succinct than pure-future temporal logic. Surprisingly, the proof is quite simple and elementary, although the question has been open for twenty years.

@article{eatcs-bull79()-Mar,
  author =              {Markey, Nicolas},
  title =               {Temporal Logic with Past is Exponentially More
                         Succinct},
  publisher =           {EATCS},
  journal =             {EATCS Bulletin},
  volume =              {79},
  pages =               {122-128},
  year =                {2003},
  month =               feb,
  abstract =            {We positively answer the old question whether
                         temporal logic with past is more succinct than
                         pure-future temporal logic. Surprisingly, the proof
                         is quite simple and elementary, although the
                         question has been open for twenty years.},
}
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