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The Interpretation of Branching Time Diagrams

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Graph-Based Representation and Reasoning (ICCS 2016)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 9717))

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Abstract

The use of branching time diagrams in tense logic was originally suggested in 1957 by Saul Kripke. During the following years, A.N. Prior (1914–1969) developed models with forwards branching and backwards linearity. Prior’s work on tense logic inspired several logicians during the 1960s, such as Nino Cochiarella (born 1933) and Henrik von Wright (1916–2003). Both of them questioned Prior’s idea of a linear past. In the present paper, we argue that the best way to take advantage of the results of the various discussions of branching time since Prior would be to make use of a Molinistic version of the Ockhamistic model. We argue that this interpretation of branching time can reflect and support natural language reasoning in a very useful manner.

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Notes

  1. 1.

    The use of F(n)p and P(n)p does not presuppose anything regarding discreteness of time.

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Correspondence to David Jakobsen .

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Jakobsen, D., Øhrstrøm, P. (2016). The Interpretation of Branching Time Diagrams. In: Haemmerlé, O., Stapleton, G., Faron Zucker, C. (eds) Graph-Based Representation and Reasoning. ICCS 2016. Lecture Notes in Computer Science(), vol 9717. Springer, Cham. https://doi.org/10.1007/978-3-319-40985-6_3

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  • DOI: https://doi.org/10.1007/978-3-319-40985-6_3

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-40984-9

  • Online ISBN: 978-3-319-40985-6

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