Epistemic Ensembles in Semantic and Symbolic Environments (Extended Version with Proofs)
| Autor: | Hennicker, Rolf, Knapp, Alexander, Wirsing, Martin |
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| Rok vydání: | 2024 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| Popis: | An epistemic ensemble is composed of knowledge-based agents capable of retrieving and sharing knowledge and beliefs about themselves and their peers. These agents access a global knowledge state and use actions to communicate and cooperate, altering the collective knowledge state. We study two types of mathematical semantics for epistemic ensembles based on a common syntactic operational ensemble semantics: a semantic environment defined by a class of global epistemic states, and a symbolic environment consisting of a set of epistemic formul{\ae}. For relating these environments, we use the concept of {\Phi}-equivalence, where a class of epistemic states and a knowledge base are {\Phi}-equivalent, if any formula of {\Phi} holds in the class of epistemic states if, and only if, it is an element of the knowledge base. Our main theorem shows that {\Phi}-equivalent configurations simulate each other and satisfy the same dynamic epistemic ensemble formulae. Comment: Extended version of REoCAS@ISoLA 2024 |
| Databáze: | arXiv |
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