Abstract
In speech acts, a speaker utters sentences that might affect the belief state of a hearer. To formulate causal effects in assertive speech acts, we introduce a logical theory that encodes causal relations between speech acts, belief states of agents, and truth values of sentences. We distinguish trustful and untrustful speech acts depending on the truth value of an utterance, and distinguish truthful and untruthful speech acts depending on the belief state of a speaker. Different types of speech acts cause different effects on the belief state of a hearer, which are represented by the set of models of a causal theory. Causal theories of speech acts are also translated into logic programs, which enables one to represent and reason about speech acts in answer set programming.
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Notes
- 1.
\( Utter _t(x,\sigma )\) is represented by the proposition \(utter\!\_x\_\sigma _t\) where \(utter\!\_x\_\sigma \) is an action name. We write \(utter\!\_x\_\sigma _t\) by \( Utter _t(x,\sigma )\) for notational convenience.
- 2.
U means Utter, B means Bel, and H means Hold.
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Sakama, C. (2017). A Causal Theory of Speech Acts. In: Baltag, A., Seligman, J., Yamada, T. (eds) Logic, Rationality, and Interaction. LORI 2017. Lecture Notes in Computer Science(), vol 10455. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-55665-8_48
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DOI: https://doi.org/10.1007/978-3-662-55665-8_48
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