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Cut Elimination for S4C: A Case Study

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Abstract

S4C is a logic of continuous transformations of a topological space. Cut elimination for it requires new kind of rules and new kinds of reductions

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References

  1. Artemov, S., J. Davoren, and A. Nerode, ‘Modal logics and topological semantics for hybrid systems’, Technical Report MSI, 97–05, Cornell University, June 1997 (available at http://www.cs.gc.cuny.edu/~sartemov/).

  2. Davoren, J., Modal Logics for Continuous Dynamics, Ph. D. thesis, Cornell University, 1998.

  3. Kremer, P., and G. Mints, ‘Dynamic Topological Logic’, Annals of Pure and Applied Logic, v. 133: 133–158, 2004.

  4. Mints, G., A Short Introduction to Intuitionistic Logic, Kluwer, 2001.

  5. Troelstra, A., and H. Schwichtenberg, Basic Proof Theory, Cambridge University Press, 2000.

  6. Walters, P., An Introduction to Ergodic Theory, Springer-Verlag, 1982.

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Authors and Affiliations

  1. Department of Philosophy, Stanford University, Stanford, CA, 94305, USA

    Grigori Mints

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  1. Grigori Mints
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Correspondence to Grigori Mints.

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Mints, G. Cut Elimination for S4C: A Case Study. Stud Logica 82, 121–132 (2006). https://doi.org/10.1007/s11225-006-6608-1

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  • DOI: https://doi.org/10.1007/s11225-006-6608-1

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