Abstract: It is widely accepted that distributivity properties play a key role in fuzzy research, especially in fuzzy control. Making use of the solution of the autodistributivity functional equations ...
Abstract: This article focuses on distributivity and conditional distributivity for uninorms over a given continuous t-norm, closely related to the open problem recalled by Klement in the Linz2000 ...
This Rocq library contains a hierarchy of monads with their laws used in several examples of monadic equational reasoning. This repository contains a formalization of monads including examples of ...
We propose here a study of ‘semiexact’ and ‘homological' categories as a basis for a generalised homological algebra. Our aim is to extend the homological notions to deeply non-abelian situations, ...
ABSTRACT: One of the central questions in linguistics is whether or not the Japanese floating numeral quantifier (FNQ) is always a distributive operator, as Gunji and Hasida (1998), Nakanishi (2004, ...
Reasonable quantification of uncertainty is a major issue of cognitive infocommunications, and logic is a backbone for successful communication. Here, an axiomatic approach to quantum logic, which ...
1 Center for Language and Cognition Groningen (CLCG), Faculty of Arts, University of Groningen, Groningen, Netherlands 2 Department of Artificial Intelligence, Faculty of Science and Engineering, ...
This project is an implementation in Coq of the axiomatic system for linear temporal logic described in: A Calculational Deductive System for Linear Temporal Logic, ACM Computing Surveys, Vol. 53, No.
Any group acts as automorphisms of itself, by conjugation. If we differentiate this idea, we get that any Lie algebra acts as derivations of itself. We can then enhance this in various ways: for ...