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Cooperation through Communication in a Distributed Problem-Solving Network
Published in Satya Prakash Yadav, Dharmendra Prasad Mahato, Nguyen Thi Dieu Linh, Distributed Artificial Intelligence, 2020
Anisha Singh, Akarshita Jain, Bipin Kumar Rai
Kripke semantics adds possible universes to Tarski models. Rather than having a model speak to a world, a model currently contains numerous potential universes. An openness relationship R between possible universes shows what different universes are conceivable from a given world. For instance, assume our model M contains many possible universes W with w1 and w2 part universes in W. Besides, our model will contain an availability relationship R that holds if one world can be reached from a different universe. Let Φ be a capacity that relegates truth T and bogus F to sentences contingent upon the conditions that hold in the model M. At that point, the reality condition for the sentence 3α, can be written as follows: Φ(3α,w1)=Tiff∃w2∈W,ifw1Rw2thenΦ(α,w2)=T
Fuzzy intensional semantics
Published in Journal of Applied Non-Classical Logics, 2018
One of the simplest enhancements of intensional frames, known as the Kripke semantics, is the addition of a binary accessibility relation between possible worlds. In Kripke models, a formula is necessarily true in a possible world iff it is true in all worlds accessible from this world, and possibly true iff true in some accessible world. The notions of necessity and possibility from Definition 2.3 are thus a special case when the accessibility relation is total. Modifying the properties of the accessibility relation results in different kinds of necessity and possibility modalities (for a detailed overview of classical modal logics see, e.g. Chagrov & Zakharyaschev, 1997).