Merging Frameworks for Interaction
| Abstract | Many logical systems today describe intelligent interacting agents over time. Frameworks include Interpreted Systems (IS, Fagin et al. [8]), Epistemic-Temporal Logic (ETL, Parikh & Ramanujam [22]), STIT (Belnap et al. [5]), Process Algebra and Game Semantics (Abramsky [1]). This variety is an asset, as different modeling tools can be fine-tuned to specific applications. But it may also be an obstacle, when barriers between paradigms and schools go up. This paper takes a closer look at one particular interface, between two systems that both address the dynamics of knowledge and information flow in multi-agent systems. One is IS/ETL (IS and ETL are, from a technical point of view, the same up to model transformations, cf. [20]), which uses linear or branching time models with added epistemic structure induced by agents’ different capabilities for observing events. These models provide a Grand Stage where histories of some process unfold constrained by a protocol, and a matching epistemic-temporal language describes what happens. The other framework is Dynamic Epistemic Logic (DEL, [10, 4, 34]) that describes interactive processes in terms of epistemic event models which may occur inside modalities of the language. Temporal evolution is then computed from some initial epistemic model through a process of successive ‘product updates’. It has long been unclear how to best compare IS/ETL and DEL. Various aspects have been investigated in [10, 30, 32], but in this paper, we study the interface in a more systematic way. Often, DEL and ETL are presented as alternative ways of adding dynamics to multi-agent epistemic models. In this paper, we rather focus on how merging the two different modeling choices leads to interesting new questions. Our leading interest here will be a view of informational processes as evolving over time. To see what we mean, consider the simplest version of DEL, viz. the logic of public announcements PAL ([23]) which adds a very specific type of communicative 1 action to epistemic models: a public announcement.. | |||||||||
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Johan van Benthem, Jelle Gerbrandy, Tomohiro Hoshi & Eric Pacuit (2009). Merging Frameworks for Interaction. Journal of Philosophical Logic 38 (5).
Johan Van Benthem, Jelle Gerbrandy, Tomohiro Hoshi & Eric Pacuit (2009). Merging Frameworks for Interaction. Journal of Philosophical Logic 38 (5):491 - 526.
Tomohiro Hoshi (forthcoming). Merging Del and Etl. Journal of Logic, Language and Information.
Tomohiro Hoshi & Audrey Yap (2009). Dynamic Epistemic Logic with Branching Temporal Structures. Synthese 169 (2):259 - 281.
Joshua Sack (2008). Temporal Languages for Epistemic Programs. Journal of Logic, Language and Information 17 (2).
Valentin Goranko & Wojciech Jamroga (2004). Comparing Semantics of Logics for Multi-Agent Systems. Synthese 139 (2):241 - 280.
J. F. A. K. van Benthem (2011). Logical Dynamics of Information and Interaction. Cambridge University Press.
Alexandru Baltag & Lawrence S. Moss (2004). Logics for Epistemic Programs. Synthese 139 (2):165 - 224.
Alistair Isaac & Tomohiro Hoshi (forthcoming). Synchronizing Diachronic Uncertainty. Journal of Logic, Language and Information.
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