RSS 1.0Bulletin of the Section of Logic 50/4 (2021)
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SPIS TREŚCI
1. On the Category of EQ-algebrasNarges Akhlaghinia
Mona Aaly Kologani
Rajab Ali Borzooei
Xiao Long Xin
2. The (Greatest) Fragment of Classical Logic that Respects the Variable-Sharing Principle (in the FMLA-FMLA Framework)
Damian E. Szmuc
3. A Sound Interpretation of Lesniewski’s Epsilon in Modal Logic KTB
Takao Inoué
4. On Complete Representations and Minimal Completions in Algebraic Logic, Both Positive and Negative Results
Tarek Sayed Ahmed
5. An Arithmetically Complete Predicate Modal Logic
Yunge Hao
George Tourlakis
Recent Submissions
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An Arithmetically Complete Predicate Modal Logic
(Wydawnictwo Uniwersytetu Łódzkiego, 2021-08-23)This paper investigates a first-order extension of GL called \(\textup{ML}^3\). We outline briefly the history that led to \(\textup{ML}^3\), its key properties and some of its toolbox: the \emph{conservation theorem}, its ... -
On Complete Representations and Minimal Completions in Algebraic Logic, Both Positive and Negative Results
(Wydawnictwo Uniwersytetu Łódzkiego, 2021-07-21)Fix a finite ordinal \(n\geq 3\) and let \(\alpha\) be an arbitrary ordinal. Let \(\mathsf{CA}_n\) denote the class of cylindric algebras of dimension \(n\) and \(\sf RA\) denote the class of relation algebras. Let ... -
A Sound Interpretation of Leśniewski's Epsilon in Modal Logic KTB
(Wydawnictwo Uniwersytetu Łódzkiego, 2021-11-09)In this paper, we shall show that the following translation \(I^M\) from the propositional fragment \(\bf L_1\) of Leśniewski's ontology to modal logic \(\bf KTB\) is sound: for any formula \(\phi\) and \(\psi\) of \(\bf ... -
The (Greatest) Fragment of Classical Logic that Respects the Variable-Sharing Principle (in the FMLA-FMLA Framework)
(Wydawnictwo Uniwersytetu Łódzkiego, 2021-05-27)We examine the set of formula-to-formula valid inferences of Classical Logic, where the premise and the conclusion share at least a propositional variable in common. We review the fact, already proved in the literature, ... -
On the Category of EQ-algebras
(Wydawnictwo Uniwersytetu Łódzkiego, 2021-01-20)In this paper, we studied the category of EQ-algebras and showed that it is complete, but it is not cocomplete, in general. We proved that multiplicatively relative EQ-algebras have coequlizers and we calculated coproduct ...