Ternary Relational Semantics for the Variants of BN4 and E4 which Contain Routley and Meyer's Logic B

Sandra M. López

Bulletin of the Section of Logic (2021)

  • Volume: 51, Issue: 1, page 27-56
  • ISSN: 0138-0680

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Sandra M. López. "Ternary Relational Semantics for the Variants of BN4 and E4 which Contain Routley and Meyer's Logic B." Bulletin of the Section of Logic 51.1 (2021): 27-56. <http://eudml.org/doc/298960>.

@article{SandraM2021,
author = {Sandra M. López},
journal = {Bulletin of the Section of Logic},
keywords = {Ternary relational semantics; relevant logics; 4-valued logics; Routley and Meyer's logic B; 4-valued quasi-relevant logics},
number = {1},
pages = {27-56},
title = {Ternary Relational Semantics for the Variants of BN4 and E4 which Contain Routley and Meyer's Logic B},
url = {http://eudml.org/doc/298960},
volume = {51},
year = {2021},
}

TY - JOUR
AU - Sandra M. López
TI - Ternary Relational Semantics for the Variants of BN4 and E4 which Contain Routley and Meyer's Logic B
JO - Bulletin of the Section of Logic
PY - 2021
VL - 51
IS - 1
SP - 27
EP - 56
KW - Ternary relational semantics; relevant logics; 4-valued logics; Routley and Meyer's logic B; 4-valued quasi-relevant logics
UR - http://eudml.org/doc/298960
ER -

References

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  1. A. R. Anderson, N. D. Belnap, Entailment: The Logic of Relevance and Necessity, vol. I, Princeton University Press (1975). 
  2. A. R. Anderson, N. D. Belnap, J. M. Dunn, Entailment: The Logic of Relevance and Necessity, vol. II, Princeton University Press (1992). 
  3. R. T. Brady, Completeness proofs for the systems RM3 and BN4, Logique et Analyse, vol. 25 (1982), pp. 9–32. 
  4. R. T. Brady (ed.), Relevant Logics and their Rivals, vol. II, Ashgate (2003). 
  5. R. T. Brady, Universal Logic, CSLI (2006). 
  6. S. M. López, Belnap-Dunn semantics for the variants of BN4 and E4 which contain Routley and Meyer’s logic B, Logic and Logical Philosophy, (Online First), pp. 1–28, DOI: https://doi.org/10.12775/LLP.2021.004 
  7. R. K. Meyer, S. Giambrone, R. T. Brady, Where Gamma fails, Studia Logica, vol. 43 (1984), pp. 247–256, DOI: https://doi.org/10.1007/BF02429841 
  8. H. Omori, H. Wansing, 40 years of FDE: An Introductory Overview, Studia Logica, vol. 105 (2017), pp. 1021–1049, DOI: https://doi.org/10.1007/s11225-017-9748-6 
  9. G. Robles, J. M. Blanco, S. M. López, J. R. Paradela, M. M. Recio, Relational Semantics for the 4-valued relevant logics BN4 and E4, Logic and Logical Philosophy, vol. 25(2) (2016), pp. 173–201, DOI: https://doi.org/10.12775/LLP.2016.006 
  10. G. Robles, J. M. Méndez, A companion to Brady’s 4-valued relevant logic BN4: The 4-valued logic of entailment E4, Logic Journal of the IGLP, vol. 24(5) (2016), pp. 838–858, DOI: https://doi.org/10.1093/jigpal/jzw011 
  11. R. Routley, V. Plumwood, R. K. Meyer, R. T. Brady, Relevant Logics and their Rivals, vol. I, Ridgeview (1982). 
  12. J. K. Slaney, Relevant Logic and Paraconsistency, [in:] L. Bertossi, A. Hunter, T. Schaub (eds.), Inconsistency Tolerance, vol. 3300 of Lecture Notes in Computer Science, Springer (2005), pp. 270–293, DOI: https://doi.org/10.1007/978-3-540-30597-2_9 
  13. R. Sylvan, V. Plumwood, Non-normal relevant logics, [in:] R. T. Brady (ed.), Relevant Logics and their Rivals, vol. II, Western Philosophy Series, Ashgate, Aldershot and Burlington (2003), pp. 10–16. 

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