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A Reiterman theorem for pseudovarieties of finite first-order structures

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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

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A Course in Universal Algebra
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Fundamentals of Algebraic Specification 2
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Universal Algebra for Computer Scientists
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Semigroups and Automata on Infinite Words
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Relatively Free Profinite Monoids: An Introduction and Examples
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The Birkhoff theorem for finite algebras
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Polynomial closure and unambiguous product
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Elements of Relational Database Theory
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Varieties of ordered algebras
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Fundamentals of Model Theory
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Finite Semigroups and Universal Algebra
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Finite Semigroups And Universal Algebra
inferredcites →https://doi.org/10.1142/s0218196793000287openalex-snapshot
AN ALGEBRAIC THEORY FOR REGULAR LANGUAGES OF FINITE AND INFINITE WORDS
inferredcites →https://doi.org/10.2307/2322184openalex-snapshot
A Course in Universal Algebra.

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

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Right Cancellative and Left Ample Monoids: Quasivarieties and Proper Covers
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Polynomial closure and unambiguous product
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On Varieties of Ordered Automata
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Equational Axiomatization of Algebras with Structure
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Seventy Years of Algebraic, Logical, and Topological Methods for Regular Languages
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Duality and Equational Theory of Regular Languages
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A Robust Class of Regular Languages
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Theme and Variations on the Concatenation Product
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Syntactic Semigroups
inferred← citeshttps://doi.org/10.1007/978-3-662-49630-5_31openalex-snapshot
Profinite Monads, Profinite Equations, and Reiterman’s Theorem
inferred← citeshttps://doi.org/10.1007/bf02679467openalex-snapshot
Polynomial closure and unambiguous product
inferred← citeshttps://doi.org/10.1007/bf03325434openalex-snapshot
Varieties and pseudovarieties of ordered normal bands
inferred← citeshttps://doi.org/10.1007/bfb0054312openalex-snapshot
Positive varieties and infinite words
inferred← citeshttps://doi.org/10.1007/s00025-019-0998-7openalex-snapshot
Pseudovarieties of Ordered Completely Regular Semigroups
inferred← citeshttps://doi.org/10.1007/s00233-021-10167-0openalex-snapshot
A topological shuttle between inequalities and pseudoinequalities
inferred← citeshttps://doi.org/10.1007/s00233-026-10611-zopenalex-snapshot
A purely algebraic proof of the omega-reducibility of pseudovarieties representing low half levels of concatenation hierarchies
inferred← citeshttps://doi.org/10.1016/j.ipl.2009.09.011openalex-snapshot
A counterexample to a conjecture concerning concatenation hierarchies
inferred← citeshttps://doi.org/10.1016/j.jpaa.2006.06.016openalex-snapshot
Pseudovarieties defining classes of sofic subshifts closed under taking shift equivalent subshifts
inferred← citeshttps://doi.org/10.1016/j.jpaa.2015.12.007openalex-snapshot
Stone duality, topological algebra, and recognition
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Shuffle on positive varieties of languages
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Two algebraic approaches to variants of the concatenation product
inferred← citeshttps://doi.org/10.1016/j.tcs.2019.10.020openalex-snapshot
Syntactic structures of regular languages
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References
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Series–parallel languages and the bounded-width property
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Algebraic tools for the concatenation product
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Finite semigroups as categories, ordered semigroups or compact semigroups
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A conjecture on the concatenation product
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The globals of pseudovarieties of ordered semigroups containingB2and an application to a problem proposed by Pin
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Irreducibility of certain pseudovarieties1
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SEMIDIRECT PRODUCTS OF ORDERED SEMIGROUPS
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Representations of relatively free profinite semigroups, irreducibility, and order primitivity
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ON THE NON-DETERMINISTIC COMMUNICATION COMPLEXITY OF REGULAR LANGUAGES
inferred← citeshttps://doi.org/10.1142/s0129054112400497openalex-snapshot
EQUATIONAL DESCRIPTIONS OF LANGUAGES
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POLYNOMIAL CLOSURE AND TOPOLOGY
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PROFINITE METHODS IN SEMIGROUP THEORY
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On fixed points of the lower set operator
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Reducibility vs. definability for pseudovarieties of semigroups
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The omega-reducibility of pseudovarieties of ordered monoids representing low levels of concatenation hierarchies
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Going Higher in First-Order Quantifier Alternation Hierarchies on Words
inferred← citeshttps://doi.org/10.1145/3464691openalex-snapshot
Reiterman’s Theorem on Finite Algebras for a Monad
inferred← citeshttps://doi.org/10.14232/actacyb.23.1.2017.7openalex-snapshot
Commutative Positive Varieties of Languages
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Hyper-pseudoformulas and M-solid ordered pseudovarieties
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The ω-inequality problem for concatenation hierarchies of star-free languages
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Handbook of Automata Theory
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On Varieties of Automata Enriched with an Algebraic Structure (Extended Abstract)
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New decidable upper bound of the second level in the Straubing-Therien concatenation hierarchy of star-free languages
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Equational Axiomatization of Algebras with Structure
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Applications of algebraic automata theory to quantum finite automata
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