排序方式: 共有195条查询结果,搜索用时 15 毫秒
41.
The pure implicational and the multiplicative fragments of arange of propositional relevant (and other) logics are shownto have the property that any two formulas equivalent in sucha logic are constructed from exactly the same propositionalvariables as opposed to merely having (as the definitionof relevance itself would require) some propositional variablein common. 相似文献
42.
Petr Hájek 《Studia Logica》2009,91(3):367-382
Some aspects of vagueness as presented in Shapiro’s book Vagueness in Context [23] are analyzed from the point of fuzzy logic.
Presented are some generalizations of Shapiro’s formal apparatus.
Presented by Daniele Mundici 相似文献
43.
44.
George Voutsadakis 《Studia Logica》2007,85(2):215-249
Two classes of π are studied whose properties are similar to those of the protoalgebraic deductive systems of Blok and Pigozzi. The first
is the class of N-protoalgebraic π-institutions and the second is the wider class of N-prealgebraic π-institutions. Several characterizations are provided. For instance, N-prealgebraic π-institutions are exactly those π-institutions that satisfy monotonicity of the N-Leibniz operator on theory systems and N-protoalgebraic π-institutions those that satisfy monotonicity of the N-Leibniz operator on theory families. Analogs of the correspondence property of Blok and Pigozzi for π-institutions are also introduced and their connections with preand protoalgebraicity are explored. Finally, relations of
these two classes with the (, N)-algebraic systems, introduced previously by the author as an analog of the -algebras of Font and Jansana, and with an analog of the Suszko operator of Czelakowski for π-institutions are also investigated.
Presented by Josep Maria Font 相似文献
45.
Lou Goble 《Studia Logica》2007,85(2):171-197
The results of this paper extend some of the intimate relations that are known to obtain between combinatory logic and certain
substructural logics to establish a general characterization theorem that applies to a very broad family of such logics. In
particular, I demonstrate that, for every combinator X, if LX is the logic that results by adding the set of types assigned to X (in an appropriate type assignment system, TAS) as axioms
to the basic positive relevant logic B∘T, then LX is sound and complete with respect to the class of frames in the Routley-Meyer relational semantics for relevant and substructural
logics that meet a first-order condition that corresponds in a very direct way to the structure of the combinator X itself.
Presented by Rob Goldblatt 相似文献
46.
Linh Anh Nguyen 《Studia Logica》2001,69(1):41-57
We give complete sequent-like tableau systems for the modal logics KB, KDB, K5, and KD5. Analytic cut rules are used to obtain the completeness. Our systems have the analytic superformula property and can thus give a decision procedure. Using the systems, we prove the Craig interpolation lemma for the mentioned logics. 相似文献
47.
Interpolation in practical formal development 总被引:2,自引:0,他引:2
48.
Andreja Prijatelj 《Studia Logica》1996,57(2-3):437-456
In this paper, we consider multiplicative-additive fragments of affine propositional classical linear logic extended with n-contraction. To be specific, n-contraction (n 2) is a version of the contraction rule where (n+ 1) occurrences of a formula may be contracted to n occurrences. We show that expansions of the linear models for (n + 1)- valued ukasiewicz logic are models for the multiplicative-additive classical linear logic, its affine version and their extensions with n-contraction. We prove the finite axiomatizability for the classes of finite models, as well as for the class of infinite linear models based on the set of rational numbers in the interval [0, 1]. The axiomatizations obtained in a Gentzen-style formulation are equivalent to finite and infinite-valued ukasiewicz logics.Presented by Jan Zygmunt 相似文献
49.
Wojciech Buszkowski 《Studia Logica》1996,57(2-3):303-323
We prove the finite model property (fmp) for BCI and BCI with additive conjunction, which answers some open questions in Meyer and Ono [11]. We also obtain similar results for some restricted versions of these systems in the style of the Lambek calculus [10, 3]. The key tool is the method of barriers which was earlier introduced by the author to prove fmp for the product-free Lambek calculus [2] and the commutative product-free Lambek calculus [4].Presented by H. Ono 相似文献
50.