1,721,052 research outputs found
The free n-generated BL-algebra
No full textFor each integer n≥0, we provide an explicit functional characterization of the free n-generated BL-algebra, together with an explicit construction of the corresponding normal forms
Schauder hats for the two-variable fragment of BL
No full textThe theory of Schauder hats is a beautiful and powerful tool for investigating, under several respects, the algebraic semantics of Łukasiewicz infinite-valued logic [CDM99],[MMM07], [Mun94], [P95]. As a notably application of the theory, the elements of the free n-generated MV-algebra, that constitutes the algebraic semantics of the n-variate fragment ofŁukasiewicz logic, are obtained as (t-conorm) monoidal combination of finitely many hats, which are in turn obtained through finitely many applications of an operation called starring, starting from a finite family of primitive hats. The aim of this paper is to extend this portion of the Schauder hats theory to the two-variable fragment of Hajek’s Basic logic. This step represents a non-trivial generalization of the one variable case studied in [AG05], [Mon00], and provides sufficient insight to capture the behaviour of the n-variable case for n ≥ 1
Finite RDP-algebras : duality, coproducts and logic
No full textThe variety of RDP-algebras forms the algebraic semantics of RDP-logic, the many-valued propositional logic of the revised drastic product left-continuous triangular norm and its residual. We prove a Priestley duality for finite RDP-algebras, and obtain an explicit description of co-
products of finite RDP-algebras. In this light, we give a combinatorial representation of free finitely generated RDP-algebras, which we exploit to construct normal forms, strongest deductive interpolants, and most general unifiers. We prove that RDP-unification is unitary, and that the tautology problem for RDP-logic is coNP-complete
funzione visiva e parlaisi cerebrale infantile: implicazioni diagnostiche e riabilitative
No full textCentro di riabilitazione extraospedaliera Paolo VI, Casalnocet
Disordini neuroftalmologici nel bambino con paralisi cerebrale infantile emiplegica
No full textPerugi
Applications of finite duality to locally finite varieties of BL-algebras
No full textWe are concerned with the subvariety of commutative, bounded, and integral residuated lattices, satisfying divisibility and prelinearity, namely, BL-algebras. We give an explicit combinatorial description of the category that is dual to finite BL-algebras. Building on this, we obtain detailed structural information on the locally finite subvarieties of BL-algebras that are analogous to Grigolia's subvarieties of finite-valued MV-algebras. As an illustration of the power of the finite duality presented here, we give an exact recursive formula for the cardinality of free finitely generated algebras in such varieties
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