In this paper, we de ne a rst-order logic CF 0 with strong negation and bounded classical quanti ers, which is a variant of Thomason's logic CF . For the logic CF 0, the usual Kripke formal semantics is dened based on situations, and a sound and complete axiomatic system is established based on the axiomatic systems of constructive logics with strong negation and Thomason's completeness proof t...

The inexact information system is based on linguistic terms which have values lying in the interval [0; 1]. Imprecision has advantages, because fuzzy sets avoid the rigidity of conventional mathematical reasoning and computer programming. Fuzzy quanti ers are made explicit by means of fuzzy logic. Many systems, for example, complex biological processes, cannot be programmed in a precise way. Wi...

The proper treatment of quanti cation in Natural Language proposed by Richard Montague some thirty years ago does not do proper justice to the fact that interpretation of texts both uses context and sets up new contexts. The dynamic turn in NL semantics is the attempt to model this basic fact, but the use of dynamically quanti ed variables introduces an undesirable element into this attempt. By...

A rule use information RUI structure has been proposed to implement non standard connectives and quanti ers that generalize conjunction disjunction implication universal quanti er and existential quan ti er The current implementation of the RUI struc ture in the SNePS Inference Package SNIP main tains a single RUI set for each rule which causes a combinatorial number of substitution compatibili...

• Per AFNOR Certification guidelines, a preliminary study was conducted where the relative accuracy, linearity, detection and quantification limits, selectivity (inclusivity and exclusivity) and practicability of the Colilert-18/Quanti-Tray method were assessed using samples of distribution water and fountain water spiked with strains of both coliform bacteria and E. coli. All the assessed perf...

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There are two approaches in the top-down construction of rst order decision trees that use de nite or normal clauses. The covering approach [5, 3] builds one clause at a time that covers part of positive examples, and repeats this process until no positive examples remain uncovered. The divide-and-conquer approach [1, 2] on the other hand divides the given examples into smaller subsets recursiv...

Historically, heterotrophic plate counts are enumerated using a pour plate method, whereby plates are read manually. This analysis is important to evaluate the maintenance of water disinfection in a reticulation system. Advances in media and technology have made it possible to do this evaluation using defined substrate media and enumeration is performed by means of instrumentation using softwar...