Pseudo-valuations on pre-logics

Sun Shin Ahn; Young Bae Jun

doi:10.1007/s10474-011-0178-z

Pseudo-valuations on pre-logics

Sun Shin Ahn
, Young Bae Jun

Department of Mathematics Education

Gyeongsang National University

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

Based on the Buşneag's model [1,2,3], the notion of pseudo-valuations (valuations) on a pre-logic is introduced, and a pseudo-metric is induced by a pseudo-valuation on pre-logics. Related properties are investigated, and conditions for a real-valued function on a pre-logic to be a pseudo-valuation are discussed. Using the notion of (pseudo) valuation, we show that the binary operation * in pre-logics is uniformly continuous.

Original language	English
Pages (from-to)	499-510
Number of pages	12
Journal	Acta Mathematica Hungarica
Volume	134
Issue number	4
DOIs	https://doi.org/10.1007/s10474-011-0178-z
State	Published - Mar 2012

Keywords

03G25
06F35
deductive system
ideal
pre-logic
pseudo-metric induced by pseudo-valuation
pseudo-valuation
valuation

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10.1007/s10474-011-0178-z

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Pseudo-valuations on pre-logics

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Keywords

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