On the Decidability of the Existential Theory of (original) (raw)

On the Decidability of the Existential Theory of F_p[[t]]

Hans Schoutens

2007

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Undecidability of existential theories of rings and fields: a survey

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A Roadmap to Decidability

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The Road to Universal Logic, 2015

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Varieties with decidable finite algebras I: Linearity

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Algebra Universalis, 1989

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Undecidability in Function Fields of Positive Characteristic

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International Mathematics Research Notices, 2009

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Undecidability in Weihrauch Degrees

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Quantifier elimination in tame infinite p-adic fields

Ingo Brigandt

2001

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On the Expressive Power of Existential Quantification in Polynomial-Time Computability

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2000

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Urs-Martin Künzi

Algebra and Logic, 1989

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Ndjfl, 2008

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Alasdair Urquhart

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Elimination theory for addition and the Frobenius map in polynomial rings

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Decidability and Invariant Classes for Degree Structures

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Decidability and Complexity of Finitely Closable Linear Equational Theories

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Definability, decidability, complexity

Patrick Cégielski

Annals of Mathematics and Artificial Intelligence, 1996

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Abstract the Existential Theory of the Poset of R.e. Degrees with a Predicate for Single Jump Reducibility

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2014

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Existentially Closed Models in the Framework of Arithmetic

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Hilbert's Tenth Problem over Function Fields of Positive Characteristic Not Containing the Algebraic Closure of a Finite Field

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Reduced sub-powers and the decision problem for finite algebras in arithmetical varieties

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Galois embedding from universal types into existential types : Extended Abstract(Algorithmic problems in algebra, languages and computation systems)

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Primitive recursive selection functions for existential assertions over abstract algebras

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The Journal of Logic and Algebraic Programming, 2008

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UNIFORM DEFINABILITY OF INTEGERS, INTERPRETABILITY AND UNDECIDABILITY OF REDUCED INDECOMPOSABLE POLYNOMIAL RINGS

Marcus Barão Camarão

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Notes on the decidability of addition and the Frobenius map for polynomials and rational functions

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A survey of undecidability problems of rings of totally real algebraic integers (Model theoretic aspects of the notion of independence and dimension)

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2018

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Uniformly defining valuation rings in henselian valued fields with finite or pseudo-finite residue fields

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Reducibility orderings: Theories, definability and automorphisms

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Annals of Mathematical Logic, 1980

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