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The concept of paradeduction is presented in order to justify that we can overlook contradictory information taking into account only what is consistent. Besides that, paradeduction is used to show that there is a way to transform any logic, introduced as an axiomatic formal system, into a paraconsistent one.
In the literature, there have been several methods and definitions for working out if two theories are equivalent (essentially the same) or not. In this article, we do something subtler. We provide means to measure distances (and explore connections)
The development of compositional distributional models of semantics reconciling the empirical aspects of distributional semantics with the compositional aspects of formal semantics is a popular topic in the contemporary literature. This paper seeks t
This report introduces and investigates a family of metrics on sets of pointed Kripke models. The metrics are generalizations of the Hamming distance applicable to countably infinite binary strings and, by extension, logical theories or semantic stru
We develop a compositional framework for formal synthesis of hybrid systems using the language of category theory. More specifically, we provide mutually compatible tools for hierarchical, sequential, and independent parallel composition. In our fram
We study the computational complexity of deciding whether a given set of term equalities and inequalities has a solution in an $omega$-categorical algebra $mathfrak{A}$. There are $omega$-categorical groups where this problem is undecidable. We show