On the Logic of Dynamic Systems

Michael Thielscher

The aim of this paper is to develop a logic-oriented, formal theory of dynamically changing worlds and the process of acting in them. We will show that our view naturally provides two main characteristic features: First of all, the notion of parallelism, which includes the concurrent execution of actions as well as the simultaneous occurrence of events, is an intrinsic element of our theory. Secondly, since parallelism means that normally the various changes during a state transition are simultaneously caused by several reasons, we can easily model delayed effects of actions by initiating additional independent events which eventually trigger a particular effect.

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