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Distant causation in \(\mathcal C+\). (English) Zbl 1079.03018
Summary: The action language \(\mathcal C+\) of Giunchiglia, Lee, Lifschitz, McCain and Turner is a high-level, logical formalism for the representation of domains involving action and change. However, one cannot directly express relationships which hold between states more than one time-step distant, or even say that one action determines another at the next time. We present \(\mathcal C+_{\text{timed}}\), a generalization of \(\mathcal C+\) which removes these limitations. As for \(\mathcal C+\), translations to the language of causal theories are given. We also define a new kind of transition system called a ‘run system’ to provide a graphical semantics. Finally, we show how domains involving prohibition and permission can be modelled, by incorporating the ideas of another extension of \(\mathcal C +\).

MSC:
03B70 Logic in computer science
68T27 Logic in artificial intelligence
03B44 Temporal logic
Software:
CCalc
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References:
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