Abstract
We investigate expressiveness issues of Temporal Equilibrium Logic (TEL), a promising nonmonotonic logical framework for temporal reasoning. TEL shares the syntax of standard linear temporal logic LTL, but its semantics is an orthogonal combination of the LTL semantics with the nonmonotonic semantics of Equilibrium Logic. We establish that TEL is more expressive than LTL, and captures a strict subclass of \(\omega \)-regular languages. We illustrate the expressive power of \(\textsf {TEL} \) by showing that \(\textsf {LTL} \)-conformant planning, which is not expressible in \(\textsf {LTL} \), can be instead expressed in \(\textsf {TEL} \). Additionally, we provide a systematic study of the expressiveness comparison between the LTL semantics and the TEL semantics for various natural syntactical fragments.
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