An orthogonality-based classification of conjectures in ortholattices.

Enric Trillas; Ana Pradera

Mathware and Soft Computing (2006)

  • Volume: 13, Issue: 1, page 71-87
  • ISSN: 1134-5632

Abstract

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A mathematical model for conjectures (including hypotheses, consequences and speculations), was recently introduced, in the context of ortholattices, by Trillas, Cubillo and Castiñeira (Artificial Intelligence 117, 2000, 255-257). The aim of the present paper is to further clarify the structure of this model by studying its relationships with one of the most important ortholattices' relation, the orthogonality relation. The particular case of orthomodular lattices -the framework for both Boolean and quantum logics- is specifically taken into account.

How to cite

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Trillas, Enric, and Pradera, Ana. "An orthogonality-based classification of conjectures in ortholattices.." Mathware and Soft Computing 13.1 (2006): 71-87. <http://eudml.org/doc/40875>.

@article{Trillas2006,
abstract = {A mathematical model for conjectures (including hypotheses, consequences and speculations), was recently introduced, in the context of ortholattices, by Trillas, Cubillo and Castiñeira (Artificial Intelligence 117, 2000, 255-257). The aim of the present paper is to further clarify the structure of this model by studying its relationships with one of the most important ortholattices' relation, the orthogonality relation. The particular case of orthomodular lattices -the framework for both Boolean and quantum logics- is specifically taken into account.},
author = {Trillas, Enric, Pradera, Ana},
journal = {Mathware and Soft Computing},
keywords = {Inteligencia artificial; Modelos matemáticos; mathematical model for conjectures; ortholattice; orthogonality relation; orthomodular lattices},
language = {eng},
number = {1},
pages = {71-87},
title = {An orthogonality-based classification of conjectures in ortholattices.},
url = {http://eudml.org/doc/40875},
volume = {13},
year = {2006},
}

TY - JOUR
AU - Trillas, Enric
AU - Pradera, Ana
TI - An orthogonality-based classification of conjectures in ortholattices.
JO - Mathware and Soft Computing
PY - 2006
VL - 13
IS - 1
SP - 71
EP - 87
AB - A mathematical model for conjectures (including hypotheses, consequences and speculations), was recently introduced, in the context of ortholattices, by Trillas, Cubillo and Castiñeira (Artificial Intelligence 117, 2000, 255-257). The aim of the present paper is to further clarify the structure of this model by studying its relationships with one of the most important ortholattices' relation, the orthogonality relation. The particular case of orthomodular lattices -the framework for both Boolean and quantum logics- is specifically taken into account.
LA - eng
KW - Inteligencia artificial; Modelos matemáticos; mathematical model for conjectures; ortholattice; orthogonality relation; orthomodular lattices
UR - http://eudml.org/doc/40875
ER -

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