In this paper, some implicational fragments of trivalent ?ukasiewicz logic are studied and the propositional first-order presented. The maximal consistent theories as Monteiro’s deductive systems Lindenbaum-Tarski algebra in both cases. Consequently, adequacy theorems with respect to suitable algebraic structures proven.

Five interneurones in each connective respond directionally to rotation of a crab. Each seems to be activated by one direction of fluid flow in one statocyst canal. The anatomy of two is known and correlates well with a direct input from the receptors of one statocyst. Three of the fibres have input from leg joint proprioceptors. The swimming reflex and a complicated turning reflex are evoked o...

Five intemeurones with cell bodies and dendritic trees in the brain have axons 40-60/im diameter in one oesophageal connective. The fibres are phasic and multimodal, responding to visual and tactile stimuli. They have complex adaptation properties and two are suppressed completely during certain movements of the animal. The role of the fibres in overt behaviour has not been revealed by electric...

This paper is centered around the creation of new fuzzy connectives using automorphism functions. The theory has been implemented in many problems and fields. In particular, N-negations, t-norms, S-conorms I-implications concepts played crucial roles forming applications sets. Thus far, there are multiple strategies for producing connectives. purpose this to provide a strategy that more flexibl...

In Abstract Algebraic Logic the general study of propositional non-classical logics has been traditionally based on the abstraction of the Lindenbaum-Tarski process. In this kind of process one considers the Leibniz relation of indiscernible, i.e. logically equivalent, formulae. Such approach has resulted in a classification of logics partly based on generalizations of equivalence connectives: ...

In this paper we compare grammatical inference in the context of simple and of mixed Lambek systems. Simple Lambek systems are obtained by taking the logic of residuation for a family of multiplicative connectives =; ; n, together with a package of structural postulates characterizing the resource management properties of the connective. Diierent choices for Associativity and Commutativity yiel...