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An epistemic interpretation of paraconsistent weak Kleene logic
(Nicolaus Copernicus University, 2019-06)
This paper extends Fitting’s epistemic interpretation of some Kleene logics to also account for Paraconsistent Weak Kleene logic. To achieve this goal, a dualization of Fitting’s “cut-down” operator is discussed, leading ...
The power of modal separation logics
(Oxford University Press, 2019-12)
We introduce a modal separation logic MSL whose models are memory states from separation logic and the logical connectives include modal operators as well as separating conjunction and implication from separation logic. ...
Immune Logics
(Victoria University of Wellington, 2021-02)
This article is concerned with an exploration of a family of systems---called immune logics---whose main properties are, in some sense, related to those of the well-known family of infectious logics. The distinctive feature ...
Monotonic modal logics with a conjunction
(Springer, 2021-11)
Monotone modal logics have emerged in several application areas such as computer science and social choice theory. Since many of the most studied selfextensional logics have a conjunction, in this paper we study some ...
Completeness in hybrid type theory
(2014)
We show that basic hybridization (adding nominals and @ operators) makes it possible to give straightforward Henkin-style completeness proofs even when the modal logic being hybridized is higher-order. The key ideas are ...
Resource and Process Management With a Decision Model Based on Fuzzy Logic
The allocation of the resources to be shared in the context of a distributed processing system needs to be coordinated through the mutual exclusion mechanism, which will decide the order in which the shared resources will ...
A uniform framework for substructural logics with modalities
(Easy Chair, 2017-05-04)
It is well known that context dependent logical rules can be problematic both to implement and
reason about. This is one of the factors driving the quest for better behaved, i.e., local, logical
systems. In this work we ...
The modal logic of copy and remove
(Academic Press Inc Elsevier Science, 2017-08)
We propose a logic with the dynamic modal operators copy and remove. The copy operator replicates a given model, and the remove operator removes paths in a given model. We show that the product update by an action model ...
Independence friendly logic with classical negation via flattening is a second-order logic with weak dependencies
(Elsevier Inc, 2014-04)
It is well-known that Independence Friendly (IF) logic is equivalent to existential secondorder logic (Σ1 1 ) and, therefore, is not closed under classical negation. The Boolean closure of IF sentences, called Extended ...