Referential semantics: duality and applications
نویسندگان
چکیده
Received 4 March 2005 Authors were partially supported by Spanish grant DGESIC BFM2001-3329 and Catalan grant 2001SGR-00017. The second author was also supported by Catalan grant 2001FI 64 RAMON JANSANA, ALESSANDRA PALMIGIANO
منابع مشابه
Algebraic Logic : Referential Algebraic Semantics
Wójcicki has provided a characterization of selfextensional logics as those that can be endowed with a complete local referential semantics. His result was extended by Jansana and Palmigiano, who developed a duality between the category of reduced congruential atlases and that of reduced referential algebras over a fixed similarity type. This duality restricts to one between reduced atlas model...
متن کاملA duality between LM-fuzzy possibility computations and their logical semantics
Let X be a dcpo and let L be a complete lattice. The family σL(X) of all Scott continuous mappings from X to L is a complete lattice under pointwise order, we call it the L-fuzzy Scott structure on X. Let E be a dcpo. A mapping g : σL(E) −> M is called an LM-fuzzy possibility valuation of E if it preserves arbitrary unions. Denote by πLM(E) the set of all LM-fuzzy possibility valuations of E. T...
متن کاملA generalization of the Chen-Wu duality into quantale-valued setting
With the unit interval [0,1] as the truth value table, Chen and Wupresented the concept of possibility computation over dcpos.Indeed, every possibility computation can be considered as a[0,1]-valued Scott open set on a dcpo. The aim of this paper is tostudy Chen-Wu's duality on quantale-valued setting. For clarity,with a commutative unital quantale $L$ as the truth value table, weintroduce a c...
متن کاملSTONE DUALITY FOR R0-ALGEBRAS WITH INTERNAL STATES
$Rsb{0}$-algebras, which were proved to be equivalent to Esteva and Godo's NM-algebras modelled by Fodor's nilpotent minimum t-norm, are the equivalent algebraic semantics of the left-continuous t-norm based fuzzy logic firstly introduced by Guo-jun Wang in the mid 1990s.In this paper, we first establish a Stone duality for the category of MV-skeletons of $Rsb{0}$-algebras and the category of t...
متن کاملIndex Design for Enforcing Partial Referential Integrity Efficiently
Referential integrity is fundamental for data processing and data quality. The SQL standard proposes di↵erent semantics under which referential integrity can be enforced in practice. Under simple semantics, only total foreign key values must be matched by some referenced key values. Under partial semantics, total and partial foreign key values must be matched by some referenced key values. Supp...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید
ثبت ناماگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید
ورودعنوان ژورنال:
- Reports on Mathematical Logic
دوره 41 شماره
صفحات -
تاریخ انتشار 2006