منابع مشابه
Beth Definability in Institutions
BETH DEFINABILITY IN INSTITUTIONS MARIUS PETRIA∗ AND RĂZVAN DIACONESCU Abstract. This paper studies definability within the theory of institutions, a version of abstract model This paper studies definability within the theory of institutions, a version of abstract model theory that emerged in computing science studies of software specification and semantics. We generalise the concept of definab...
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The guarded fragment (GF) was introduced in [1] as a fragment of first order logic which combines a great expressive power with nice modal behavior. It consists of relational first order formulas whose quantifiers are relativized by atoms in a certain way. While GF has been established as a particularly well-behaved fragment of first order logic in many respects, interpolation fails in restrict...
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In the present paper we will show that the Beth de nability property corresponds to surjectiveness of epimorphisms in abstract algebraic logic. Furthermore, we will give an equally general characterization of the weak Beth de nability property, hereby giving a solution to Problem 14 in [Sa 88]. Finally, we will present two counterexamples showing that two of the more striking assumptions impose...
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In this paper it will be shown that the Beth deenability property corresponds to sur-jectiveness of epimorphisms in abstract algebraic logic. This generalizes a result by I. N emeti (cf. HMT85, Theorem 5.6.10]). Moreover, an equally general characterization of the weak Beth property will be given. This gives a solution to Problem 14 in Sai90]. Finally, the characterization of the projective Bet...
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ژورنال
عنوان ژورنال: The Journal of Purdue Undergraduate Research
سال: 2020
ISSN: 2158-4052
DOI: 10.7771/2158-4052.1478