منابع مشابه
Algebraic Neighbourhood Logic
We present an algebraic embedding of Neighbourhood Logic (NL) into the framework of semirings which yields various simplifications. For example, some of the NL axioms can be dropped, since they are theorems in our framework, and Galois connections produce properties for free. A further simplification is achieved, since the semiring methods used are easy and fairly standard. Moreover, this embed...
متن کاملSemiring Neighbours: An Algebraic Embedding and Extension of Neighbourhood Logic
In 1996 Zhou and Hansen proposed a first-order interval logic called Neighbourhood Logic (NL) for specifying liveness and fairness of computing systems and also defining notions of real analysis in terms of expanding modalities. After that, Roy and Zhou presented a sound and relatively complete Duration Calculus as an extension of NL. We present an embedding of NL into an idempotent semiring of...
متن کاملAN ALGEBRAIC STRUCTURE FOR INTUITIONISTIC FUZZY LOGIC
In this paper we extend the notion of degrees of membership and non-membership of intuitionistic fuzzy sets to lattices and introduce a residuated lattice with appropriate operations to serve as semantics of intuitionistic fuzzy logic. It would be a step forward to find an algebraic counterpart for intuitionistic fuzzy logic. We give the main properties of the operations defined and prove som...
متن کاملCompleteness of Neighbourhood Logic
This paper presents a completeness result for a first-order interval temporal logic, called Neighbourhood Logic (NL) which has two neighbourhood modalities. NL can support the specification of liveness and fairness properties of computing systems as well as formalisation of many concepts of real analysis. These two modalities are also adequate in the sense that they can derive other important u...
متن کاملProbabilistic Neighbourhood Logic
This paper presents a probabilistic extension of Neighbourhood Logic (NL,[14, 1]). The study of such an extension is motivated by the need to supply the Probabilistic Duration Calculus (PDC, [10, 4]) with a proof system. The relation between the new logic and PDC is similar to that between DC [15] and ITL [12, 3]. We present a complete proof system for the new logic.
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ژورنال
عنوان ژورنال: The Journal of Logic and Algebraic Programming
سال: 2008
ISSN: 1567-8326
DOI: 10.1016/j.jlap.2007.10.004