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Towards a Categorical Account of Conditional Probability [PDF]
Electronic Proceedings in Theoretical Computer Science, 2015 This paper presents a categorical account of conditional probability, covering both the classical and the quantum case. Classical conditional probabilities are expressed as a certain "triangle-fill-in" condition, connecting marginal and joint ...
Robert Furber, Bart Jacobs
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A note on the expressive power of linear orders [PDF]
Logical Methods in Computer Science, 2011 This article shows that there exist two particular linear orders such that first-order logic with these two linear orders has the same expressive power as first-order logic with the Bit-predicate FO(Bit). As a corollary we obtain that there also exists a
Thomas Schwentick, Nicole Schweikardt
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The validity degree vectors of formulae in two-valued predicate logic [PDF]
International Journal of Computational Intelligence Systems, 2015 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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The Logic of Khārijī Propositions [PDF]
حکمت سینوی, 2023 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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A Graph Calculus for Predicate Logic [PDF]
Electronic Proceedings in Theoretical Computer Science, 2013 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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Temporal logic with predicate abstraction [PDF]
, 2004 A predicate linear temporal logic LTL_{\lambda,=} without quantifiers but with predicate abstraction mechanism and equality is considered. The models of LTL_{\lambda,=} can be naturally seen as the systems of pebbles (flexible constants) moving over the ...
Alexei Lisitsa, Igor Potapov
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Linguistics and Philosophy, 1991 Abstract This paper is devoted to the formulation and investigation of a dynamic semantic interpretation of the language of first-order predicate logic. The resulting system, which will be referred to as “dynamic predicate logic,” is intended as a first step toward a compositional, non-representational theory of discourse semantics.
Stokhof, M.J.B., Groenendijk, J.A.G.
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An Arithmetically Complete Predicate Modal Logic
Bulletin of the Section of Logic, 2021 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]
Logical Methods in Computer Science, 2022 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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Axioms, 2020 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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