7 papers · 1 filter
Generalized Explosion Principles: A Semantic Perspective
Sankha S. Basu, Sayantan Roy
This article is motivated by the fact that there is a distinction between the descriptions of logical explosion from syntactic and semantic points of view. The discussion is illust…
Suszko's Thesis and Many-valued Logical Structures
Sayantan Roy, Sankha S. Basu, Mihir K. Chakraborty
In this article, we try to formulate a definition of ''many-valued logical structure''. For this, we embark on a deeper study of Suszko's Thesis () and show that the t…
Topological semantics for a non-self-extensional LFI
Esha Jain, Sankha S. Basu
In this article, we have introduced a Logic of Formal Inconsistency (LFI) that we call $\vd$. This logic is non-self-extensional, i.e., the replacement property, or the rule for su…
Paracomplete Probabilities
Sankha S. Basu, Esha Jain
This paper presents an advance in the direction of working with probabilities in a paracomplete setting using Logics of Formal Undeterminedness (LFUs). The undeterminedness is inte…
Abstract Model Structures and Compactness Theorems
Sayantan Roy, Sankha S. Basu, Mihir K. Chakraborty
The compactness theorem for a logic states, roughly, that the satisfiability of a set of well-formed formulas can be determined from the satisfiability of its finite subsets, and v…
Relational Companions of Logics
Sankha S. Basu, Sayantan Roy
The variable inclusion companions of logics have lately been thoroughly studied by multiple authors. There are broadly two types of these companions: the left and the right variabl…