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Categorical Interpretation of Modal Structures under Bisimulation Cover

Categorical Interpretation of Modal Structures under Bisimulation

By: Nino Guallart  
Open Access
|Mar 2020

References

  1. (1) Alechina, N., Mendler, M., De Paiva, V., & Ritter, E. (2001, September). Categorical and Kripke semantics for constructive S4 modal logic. En International Workshop on Computer Science Logic (pp. 292–307). Springer Berlin Heidelberg.10.1007/3-540-44802-0_21
  2. (2) Van Benthem, J. (1976). Modal correspondence theory [Ph.D. Thesis]. University of Amsterdam, Netherlands.
  3. (3) Blackburn, P., De Rijke, M., & Venema, Y. (2001). Modal logic, volume 53 of Cambridge tracts in theoretical computer science.10.1017/CBO9781107050884
  4. (4) Van Ditmarsch, H., van Der Hoek, W., & Kooi, B. (2007). Dynamic epistemic logic (Vol. 337). Springer Science & Business Media.10.1007/978-1-4020-5839-4
  5. (5) Gerbrandy, J.D. (1999). Bisimulations on planet Kripke. ILLC Dissertation Series.
  6. (6) Goranko, V., & Otto, M. (2007). 5 Model theory of modal logic. Studies in Logic and Practical Reasoning, 3, 249–329.10.1016/S1570-2464(07)80008-5
  7. (7) Hennessy, M., & Milner, R. (1980). On observing nondeterminism and concurrency. Automata, Languages and Programming, 299–309.10.1007/3-540-10003-2_79
  8. (8) Keller, R.M. (1976). Formal verification of parallel programs. Communications of the ACM, 19(7), 371–384.10.1145/360248.360251
  9. (9) Park, D. (1981). Concurrency and automata on infinite sequences. In Theoretical computer science (pp. 167–183). Springer Berlin Heidelberg.10.1007/BFb0017309
  10. (10) Sangiorgi, D. (2009). On the origins of bisimulation and coinduction. ACM Transactions on Programming Languages and Systems (TOPLAS), 31(4), 15.10.1145/1516507.1516510
  11. (11) Stirling, C. (2012). Bisimulation and logic. Sangiorgi and Rutten [24, Chapter 4], 173–196.10.1017/CBO9780511792588.005
  12. (12) Venema, Y. (2007). 6 Algebras and coalgebras. Studies in Logic and Practical Reasoning, 3, 331–426.10.1016/S1570-2464(07)80009-7
Language: English
Page range: 54 - 71
Published on: Mar 3, 2020
Published by: Sciendo
In partnership with: Paradigm Publishing Services
Publication frequency: 3 issues per year

© 2020 Nino Guallart, published by Sciendo
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.