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The validity degree vectors of formulae in two-valued predicate logic [PDF]
By means of infinite product of uniformly distributed probability spaces of cardinal , the concept of -validity degrees and validity degree vectors of formulae in two-valued predicate logic are introduced. It is proved that the validity degree vectors of
Xiaoyan Qin, Yang Xu, Yi Liu
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On decidability of a fragment of intuitionistic predicate logic
There is not abstract.
Jolanta Kaušilaitė +1 more
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Semantic Properties of T-consequence Relation in Logics of Quasiary Predicates [PDF]
In the paper we investigate semantic properties of program-oriented algebras and logics defined for classes of quasiary predicates. Informally speaking, such predicates are partial predicates defined over partial states (partial assignments) of variables.
Mykola Nikitchenko, Stepan Shkilniak
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The Logic of Khārijī Propositions [PDF]
There are two general methods for interpreting and analyzing khārijī and ḥaqīqī propositions: first, by analyzing them within a unified logic; second, by assigning separate logics to khārijī and ḥaqīqī propositions.
Asadollah Fallahi
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NeuroLogic Decoding: (Un)supervised Neural Text Generation with Predicate Logic Constraints [PDF]
Conditional text generation often requires lexical constraints, i.e., which words should or shouldn’t be included in the output text. While the dominant recipe for conditional text generation has been large-scale pretrained language models that are ...
Ximing Lu +5 more
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An Arithmetically Complete Predicate Modal Logic
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 cut-free Gentzenisation, the ...
Yunge Hao, George Tourlakis
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Coalgebraic Geometric Logic: Basic Theory [PDF]
Using the theory of coalgebra, we introduce a uniform framework for adding modalities to the language of propositional geometric logic. Models for this logic are based on coalgebras for an endofunctor on some full subcategory of the category of ...
Nick Bezhanishvili +2 more
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A Graph Calculus for Predicate Logic [PDF]
We introduce a refutation graph calculus for classical first-order predicate logic, which is an extension of previous ones for binary relations. One reduces logical consequence to establishing that a constructed graph has empty extension, i. e.
Paulo A. S. Veloso, Sheila R. M. Veloso
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The predominant form of logic before Frege, the logic of terms has been largely neglected since. Terms may be singular, empty or plural in their denotation.
Peter Simons
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IMPLICITINĖ PREDIKATO KVANTIFIKACIJA IR PORT ROYALIO LOGIKA
Straipsnyje analizuojama logikos istorikų Jill Vance Buroker, Sylvaino Auroux ir Jeano-Claude’o Pariente’o pozicija, kad tradicinės logikos pradininkų – Antoine’o Arnauld ir Pierre’o Nicole’io – pažiūrose į kategorinio sakinio semantiką galima įžvelgti ...
Laisvūnas Šopauskas
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