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Axioms for Deliberative Stit
Authors:Xu  Ming
Affiliation:(1) Cycorp Inc, 3721 Executive Center Dr. Suite 100 Austin, TX 78731, U.S.A. E-mail
Abstract:Based on a notion of ldquocompanions to stit formulasrdquo applied in other papers dealing with astit logics, we introduce ldquochoice formulasrdquo and ldquonested choice formulasrdquo to prove the completeness theorems for dstit logics in a language with the dstit operator as the only non-truth-functional operator. The main logic discussed in this paper is the basic logic of dstit with multiple agents, other logics discussed include the basic logic of dstit with a single agent and some logics of dstit with multiple agents each of which corresponds to a semantic condition concerning the number of possible choices for agents.
Keywords:logic of agency  logic of action  stit  deliberative stit
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