Order of Magnitude Qualitative Reasoning with Bidirectional Negligibility

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Authors

Alfredo Burrieza

Published

1 January 2005

Publication details

Current Topics in Artificial Intelligence, 11th Conference of the Spanish Association for Artificial Intelligence, {CAEPIA} 2005, Santiago de Compostela, Spain, November 16-18, 2005, Revised Selected Papers , Lecture Notes in Computer Science vol. 4177, pages 370–378.

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Abstract

Citation

Please, cite this work as:

[BMO05] A. Burrieza, E. Mu~noz-Velasco, and M. Ojeda-Aciego. “Order of Magnitude Qualitative Reasoning with Bidirectional Negligibility”. In: Current Topics in Artificial Intelligence, 11th Conference of the Spanish Association for Artificial Intelligence, CAEPIA 2005, Santiago de Compostela, Spain, November 16-18, 2005, Revised Selected Papers. Ed. by R. Mar', E. Onaindia, A. Bugar'and J. S. Reyes. Vol. 4177. Lecture Notes in Computer Science. Springer, 2005, pp. 370-378. DOI: 10.1007/11881216_39. URL: https://doi.org/10.1007/11881216_39.

BibTeX

@InProceedings{Burrieza2005,
     author = {Alfredo Burrieza and Emilio Mu~noz-Velasco and Manuel Ojeda-Aciego},
     booktitle = {Current Topics in Artificial Intelligence, 11th Conference of the Spanish Association for Artificial Intelligence, {CAEPIA} 2005, Santiago de Compostela, Spain, November 16-18, 2005, Revised Selected Papers},
     title = {Order of Magnitude Qualitative Reasoning with Bidirectional Negligibility},
     year = {2005},
     editor = {Roque Mar'and Eva Onaindia and Alberto Bugar'and Jos{’e} Santos Reyes},
     pages = {370–378},
     publisher = {Springer},
     series = {Lecture Notes in Computer Science},
     volume = {4177},
     bibsource = {dblp computer science bibliography, https://dblp.org},
     biburl = {https://dblp.org/rec/conf/caepia/BurriezaMO05.bib},
     doi = {10.1007/11881216_39},
     timestamp = {Tue, 14 May 2019 10:00:50 +0200},
     url = {https://doi.org/10.1007/11881216_39},
}

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Order of Magnitude Qualitative Reasoning with Bidirectional Negligibility

Cites

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Papers citing this work

The following is a non-exhaustive list of papers that cite this work:

[1] P. Balbiani. “Reasoning about negligibility and proximity in the set of all hyperreals”. In: Journal of Applied Logic 16 (Jul. 2016), p. 14–36. ISSN: 1570-8683. DOI: 10.1016/j.jal.2016.04.002. URL: http://dx.doi.org/10.1016/j.jal.2016.04.002.

[2] A. Burrieza. “Decidability of a Logic for Order of Magnitude Qualitative Reasoning with Comparability and Negligibility Relations”. In: Advances in Artificial Intelligence. Springer Berlin Heidelberg, 2013, p. 101–110. ISBN: 9783642406430. DOI: 10.1007/978-3-642-40643-0_11. URL: http://dx.doi.org/10.1007/978-3-642-40643-0_11.

[3] A. Burrieza, E. Muñoz-Velasco, and M. Ojeda-Aciego. “A multimodal logic for closeness”. In: Journal of Applied Non-Classical Logics 27.3–4 (Oct. 2017), p. 225–237. ISSN: 1958-5780. DOI: 10.1080/11663081.2018.1442137. URL: http://dx.doi.org/10.1080/11663081.2018.1442137.

[4] A. Burrieza, E. Muñoz-Velasco, and M. Ojeda-Aciego. “Logics for Order-of-Magnitude Qualitative Reasoning: Formalizing Negligibility”. In: Ewa Orłowska on Relational Methods in Logic and Computer Science. Springer International Publishing, 2018, p. 203–231. ISBN: 9783319978796. DOI: 10.1007/978-3-319-97879-6_8. URL: http://dx.doi.org/10.1007/978-3-319-97879-6_8.

[5] A. Burrieza, M. Ojeda-Aciego, and E. Orłowska. “Relational Approach to Order-of-Magnitude Reasoning”. In: Theory and Applications of Relational Structures as Knowledge Instruments II. Springer Berlin Heidelberg, 2006, p. 105–124. ISBN: 9783540692249. DOI: 10.1007/11964810_6. URL: http://dx.doi.org/10.1007/11964810_6.

[6] J. Golińska-Pilarek. “On Decidability of a Logic for Order of Magnitude Qualitative Reasoning with Bidirectional Negligibility”. In: Logics in Artificial Intelligence. Springer Berlin Heidelberg, 2012, p. 255–266. ISBN: 9783642333538. DOI: 10.1007/978-3-642-33353-8_20. URL: http://dx.doi.org/10.1007/978-3-642-33353-8_20.

[7] J. Golińska-Pilarek, A. Mora, and E. Muñoz-Velasco. “An ATP of a Relational Proof System for Order of Magnitude Reasoning with Negligibility, Non-closeness and Distance”. In: PRICAI 2008: Trends in Artificial Intelligence. Springer Berlin Heidelberg, 2008, p. 128–139. ISBN: 9783540891970. DOI: 10.1007/978-3-540-89197-0_15. URL: http://dx.doi.org/10.1007/978-3-540-89197-0_15.