Fisheries in life cycle assessment: Operational factors for biotic resources depletion. Hélias, A., Langlois, J., & Fréon, P. Fish and Fisheries, 19(6):951-963, 2018. abstract bibtex In this paper, a polynomial model (residue class ring) for a given p-valued propositional Logic (p prime), is constructed. This will allow the study of logical deductions using Computer Algebra techniques (Gröbner Bases). Also, an interesting interpretation of ⊨ and Kleene's style → and their relation from the point of view of Algebraic Geometry (in terms of algebraic varieties) will be given. Only modest requirements about the good behaviour of the Logic will be assumed. This approach makes it possible to move a step forward and treat Knowledge Based Systems (KBSs) based on multi-valued Logics.
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abstract = {In this paper, a polynomial model (residue class ring) for a given p-valued propositional Logic (p prime), is constructed. This will allow the study of logical deductions using Computer Algebra techniques (Gröbner Bases). Also, an interesting interpretation of ⊨ and Kleene's style → and their relation from the point of view of Algebraic Geometry (in terms of algebraic varieties) will be given. Only modest requirements about the good behaviour of the Logic will be assumed. This approach makes it possible to move a step forward and treat Knowledge Based Systems (KBSs) based on multi-valued Logics.},
bibtype = {article},
author = {Hélias, Arnaud and Langlois, Juliette and Fréon, Pierre},
journal = {Fish and Fisheries},
number = {6}
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