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Logical consequence and combinations of logics: fundaments and efficient applications

Abstract

The notion of logical inference is of fundamental importance not only in all forms of argumentation (be it formal or informal) but also ins several aspects of computing. Study of logical inference for applications requires understanding combinations of logical mechanisms in several guises. This project is focused on specific methods for combining logics and their semantical, algebraic and computational aspects. Approximating propositional and quantified inferences is a promising approach in taming of the intrinsic complexities of this task. Intimately related to the quest for efficiency and with the research effort of understanding combinations of logics, quantum logics and quantum computation arise as a11 important research area. This requires multidisciplinary researches involved in the hard task of providing efficient alternatives traditional methods of inference. This project involves 22 researchers with different backgrounds from USP and Unicamp with the support of 8 researchers from three international institutions. (AU)

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Scientific publications (12)
(References retrieved automatically from Web of Science and SciELO through information on FAPESP grants and their corresponding numbers as mentioned in the publications by the authors)
CARNIELLI, WALTER; CAROLINO, PIETRO K.. ADJUSTING A CONJECTURE OF ERDOS. CONTRIBUTIONS TO DISCRETE MATHEMATICS, v. 6, n. 1, p. 154-159, . (04/14107-2)
VELOSO, PAULO A. S.; VELOSO, SHEILA R. M.; VIANA, PETRUCIO; DE FREITAS, RENATA; BENEVIDES, MARIO; DELGADO, CARLA. On vague notions and modalities: a modular approach. LOGIC JOURNAL OF THE IGPL, v. 18, n. 3, p. 381-402, . (04/14107-2)
CARNIELLI, WALTER. The Single-minded Pursuit of Consistency and its Weakness. STUDIA LOGICA, v. 97, n. 1, p. 81-100, . (04/14107-2)
OLIVEIRA, IGOR CARBONI; CARNIELLI, WALTER. The Ricean Objection: An Analogue of Rice's Theorem for First-order Theories. LOGIC JOURNAL OF THE IGPL, v. 16, n. 6, p. 585-590, . (04/14107-2)
SERNADAS, AMILCAR; SERNADAS, CRISTINA; RASGA, JOAO; CONIGLIO, MARCELO. A Graph-theoretic Account of Logics. JOURNAL OF LOGIC AND COMPUTATION, v. 19, n. 6, p. 1281-1320, . (04/14107-2)
AGUDELO, JUAN C.; CARNIELLI, WALTER. POLYNOMIAL RING CALCULUS FOR MODAL LOGICS: A NEW SEMANTICS AND PROOF METHOD FOR MODALITIES. Review of Symbolic Logic, v. 4, n. 1, p. 150-170, . (04/14107-2)
BEZIAU, JEAN-YVES; CONIGLIO, MARCELO E.. To distribute or not to distribute?. LOGIC JOURNAL OF THE IGPL, v. 19, n. 4, SI, p. 566-583, . (04/14107-2)
CONIGLIO, M. E.; SERNADAS, A.; SERNADAS, C.. Preservation by fibring of the finite model property. JOURNAL OF LOGIC AND COMPUTATION, v. 21, n. 2, p. 375-402, . (04/14107-2)
D'AGOSTINO, MARCELLO; FINGER, MARCELO; GABBAY, DOV. Cut-Based Abduction. LOGIC JOURNAL OF THE IGPL, v. 16, n. 6, p. 537-560, . (04/14107-2)
AGUDELO, JUAN C.; CARNIELLI, WALTER. Paraconsistent Machines and their Relation to Quantum Computing. JOURNAL OF LOGIC AND COMPUTATION, v. 20, n. 2, p. 573-595, . (04/14107-2)
BUENO-SOLER, JULIANA. Models for anodic and cathodic multimodalities. LOGIC JOURNAL OF THE IGPL, v. 20, n. 2, SI, p. 458-476, . (08/03995-5, 04/14107-2)
RASGA, JOAO; CARNIELLI, WALTER; SERNADAS, CRISTINA. Interpolation via translations. MATHEMATICAL LOGIC QUARTERLY, v. 55, n. 5, p. 515-534, . (04/14107-2)

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