Axiomatization of identity-free equations valid in relation algebras (original) (raw)

The equational theory of union-free algebras of relations

Hajnal Andréka

Algebra Universalis, 1995

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Decision problems for equational theories of relation algebras

Andreka Hajnal

Memoirs of the American Mathematical Society, 1997

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Axiomatizability of positive algebras of binary relations

Hajnal Andréka

Algebra universalis, 2011

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There is No Finite-Variable Equational Axiomatization of Representable Relation Algebras Over Weakly Representable Relation Algebras

Robin Hirsch

The Review of Symbolic Logic, 2016

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Complexity of equations valid in algebras of relations part I: Strong non-finitizability

Hajnal Andréka

Annals of Pure and Applied Logic, 1997

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On the equational theory of representable polyadic equality algebras (extended abstract)

István Németi

Logic Journal of IGPL, 1998

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Reducts of Relation Algebras: The Aspects of Axiomatisability and Finite Representability

Daniel Rogozin

Logical Foundations of Computer Science, 2021

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Gentzen-style axiomatizations in equational logic

D. Pigozzi

Algebra Universalis, 1995

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Expressibility of properties of relations

Hajnal Andréka

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Relation algebras from cylindric algebras, II

Robin Hirsch

Annals of Pure and Applied Logic, 2001

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On the finitization problem of relation algebras (completeness problem for the finite variable fragments)

István Németi

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Complexity of equational theory of relational algebras with standard projection elements

Ildikó Sain

Synthese, 2015

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First-Order Axiomatisations of Representable Relation Algebras Need Formulas of Unbounded Quantifier Depth

Robin Hirsch

The Journal of Symbolic Logic, 2021

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Finite algebras of relations are representable on finite sets

Andreka Hajnal

Journal of Symbolic Logic, 1999

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The Index and Core of a Relation With Applications to the Axiomatics of Relation Algebra

Roland Backhouse, Ed Voermans, Roland Backhouse

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On the construction of free algebras for equational systems

Marcelo P Fiore

Theoretical Computer Science, 2009

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Non-finite-axiomatizability results in algebraic logic

Balazs Biro

Journal of Symbolic Logic, 1992

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On the search for a finitizable algebraization of first order logic

Ildikó Sain

Logic Journal of IGPL, 2000

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1. Relation algebras Outline 1. Relation algebras; representations

Robin Hirsch

2013

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On Recognisable Properties of Associative Algebras

Tatiana Gateva-Ivanova

Journal of Symbolic Computation, 1988

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Axiomatizability of representable domain algebras

Robin Hirsch

The Journal of Logic and Algebraic Programming, 2011

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Relation algebras with -dimensional relational bases

Robin Hirsch

Annals of Pure and Applied Logic, 2000

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Finite Quantifier Hierarchies in Relational Algebras (Semenov A. L.; Soprunov S. F.)

Alexey Semenov

Proceedings of the Steklov Institute of Mathematics, 2011

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On the definition and the representability of quasi-polyadic equality algebras

Miklós Ferenczi

Mathematical Logic Quarterly, 2016

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Infinitary Axiomatization of the Equational Theory of Context-Free Languages

Niels Grathwohl

Electronic Proceedings in Theoretical Computer Science, 2013

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Complete sets of unifiers and matchers in equational theories

Gérard Huet

Theoretical Computer Science, 1986

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Initial Objects, Universal Objects for Squares, Equivalences and Congruences in Relation Semi-Algebras and Algebras

Jean-Pierre Olivier

Mathematical Logic Quarterly, 1995

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Representability is not decidable for finite relation algebras

Robin Hirsch

Transactions of the American Mathematical Society, 1999

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Minimal relation algebras

Peter Jipsen

Algebra Universalis, 1994

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Composita, Equations, and Freely Generated Algebras

anil nerode

Transactions of the American Mathematical Society, 1959

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Relevant logic and relation algebras

Tomasz Kowalski

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Non-Computability of the Equational Theory of Polyadic Algebras

Gabor Sagi

2001

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The Index and Core of a Relation. With Applications to the Axiomatics of Relation Algebra and Block-Ordered Relations

Ed Voermans, Roland Backhouse

Working Document, 2022

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An abstract theory of invertible relations

Leslie Cohn

Algebra Universalis, 1988

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Computer aided investigations of relation algebras

Peter Jipsen

1992

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