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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Kripke's Worlds: An Introduction to Modal Logics Via Tableaux

Kripke's Worlds: An Introduction to Modal Logics Via Tableaux

Gasquet, Olivier
Herzig, Andreas
Said, Bilal

Paperback

Series: Studies in Universal Logic

Fiction

ISBN10: 3764385030
ISBN13: 9783764385033
Publisher: Springer Nature
Published: Dec 9 2013
Pages: 198
Weight: 0.77
Height: 0.46 Width: 6.69 Depth: 9.61
Language: English

Possible worlds models were introduced by Saul Kripke in the early 1960s. Basically, a possible world's model is nothing but a graph with labelled nodes and labelled edges. Such graphs provide semantics for various modal logics (alethic, temporal, epistemic and doxastic, dynamic, deontic, description logics) and also turned out useful for other nonclassical logics (intuitionistic, conditional, several paraconsistent and relevant logics). All these logics have been studied intensively in philosophical and mathematical logic and in computer science, and have been applied increasingly in domains such as program semantics, artificial intelligence, and more recently in the semantic web. Additionally, all these logics were also studied proof theoretically. The proof systems for modal logics come in various styles: Hilbert style, natural deduction, sequents, and resolution. However, it is fair to say that the most uniform and most successful such systems are tableaux systems. Given logic and a formula, they allow one to check whether there is a model in that logic. This basically amounts to trying to build a model for the formula by building a tree.

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