M. L. Urquhart

Differences over discourse structure differences: a reply to Urquhart and Urquhart

Purpose – In this paper we respond to Urquhart and Urquhart’s critique of our previous work entitled “Discourse structure differences in lay and professional health communication”, published in this journal in 2012 (Vol. 68 No. 6, pp.826 – 851, doi: 10.1108/00220411211277064). Design/methodology/approach – We examine Urquhart and Urquhart’s critique and provide responses to their concerns and c...

A solution to a problem of urquhart

In [4], Urquhart gives an example of a modal logic which has the finite model property, is recursively axiomatizable but not decidable. He poses the problem of finding such a logic containing S4. We will solve this problem by constructing a logic which in addition to the required properties also defines a locally finite variety of modal algebras. (Recall that a variety is said to be locally fin...

. , Oates , M . E . , Holmes , M . L . , Knaupp

Comments on Some Completeness Theorems of Urquhart and Méndez & Salto

Urquhart [8] and Méndez & Salto [5, 6] claim to establish completeness theorems for the system C and two of its negation extensions. In this note, we do the following three things: (1) provide a counterexample to all of these alleged completeness theorems, (2) attempt to diagnose the mistakes in the reported completeness proofs, and (3) provide complete axiomatizations of the desired systems.

Further study on $(L,M)$-fuzzy topologies and $(L,M)$-fuzzy neighborhood systems

Following the idea of $L$-fuzzy neighborhood system as introduced byFu-Gui Shi, and its generalization to $(L,M)$-fuzzy neighborhood system, the relationship between  $(L,M)$-fuzzy topology and $(L,M)$-fuzzy neighborhood system will be further studied. As an application of the obtained results, we will describe the initial structures of $(L,M)$-fuzzy neighborhood subspaces and $(L,M)$-fuzzy top...