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On ordered fields and definite functions
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What this work says
Outgoing claims: the papers this work cites, builds on, or argues with.
inferredcites →https://doi.org/10.1007/bf02952512openalex-snapshot
Algebraische Konstruktion reeller Körper
inferredcites →https://doi.org/10.1007/bf02952513openalex-snapshot
Über die Zerlegung definiter Funktionen in Quadrate
inferredcites →https://doi.org/10.1016/s0049-237x(09)70303-9openalex-snapshot
Ordered Structures and Related Concepts
inferredcites →https://doi.org/10.1525/9780520348097openalex-snapshot
A Decision Method for Elementary Algebra and Geometry
inferredcites →https://doi.org/10.2307/2268617openalex-snapshot
A generalization of the concept of ω-consistency
What points at this work
Incoming claims: where this work appears in other papers’ reference lists and arguments.
inferred← citeshttps://doi.org/10.1002/malq.19830290802openalex-snapshot
REAL CLOSED RINGS AND ORDERED VALUATION RING
inferred← citeshttps://doi.org/10.1002/malq.19940400403openalex-snapshot
Hilbert's 17th Problem for Real Closed Rings
inferred← citeshttps://doi.org/10.1007/3-540-55408-4_60openalex-snapshot
De la Géométrie Formelle à l'Algèbre Abstraite
inferred← citeshttps://doi.org/10.1007/978-1-4612-2752-6_5openalex-snapshot
A continuous and rational solution to Hubert’s 17th problem and several cases of the Positivstellensatz
inferred← citeshttps://doi.org/10.1007/bf01343235openalex-snapshot
Further remarks on ordered fields and definite functions
inferred← citeshttps://doi.org/10.1007/bf01835696openalex-snapshot
On Gauss's proof of Seeber's Theorem
inferred← citeshttps://doi.org/10.1007/bfb0075308openalex-snapshot
Applications of model theory to real algebraic geometry
inferred← citeshttps://doi.org/10.1007/bfb0080983openalex-snapshot
Nonstandard aspects of Hilbert's irreducibility theorem
inferred← citeshttps://doi.org/10.1007/s00591-010-0074-6openalex-snapshot
Numbers and models, standard and nonstandard
inferred← citeshttps://doi.org/10.1016/0022-4049(93)90128-gopenalex-snapshot
A real nullstellensatz and positivstellensatz for the semi- polynomials over an ordered field
inferred← citeshttps://doi.org/10.1016/b978-0-7204-2233-7.50054-xopenalex-snapshot
A BIBLIOGRAPHY OF THE THEORY OF MODELS
inferred← citeshttps://doi.org/10.1016/s0049-237x(08)71099-1openalex-snapshot
Ultraproducts for Algebraists
inferred← citeshttps://doi.org/10.1016/s0049-237x(08)71878-0openalex-snapshot
Case Distinctions are Necessary for Representing polynomials as Sums of Squares
inferred← citeshttps://doi.org/10.1016/s0049-237x(09)70422-7openalex-snapshot
On the Kind of Data Needed for A Theory of Proofs
inferred← citeshttps://doi.org/10.1017/9781108242066.006openalex-snapshot
Quantified Propositional Calculus
inferred← citeshttps://doi.org/10.1017/9781108242066.008openalex-snapshot
Algebraic and Geometric Proof Systems
inferred← citeshttps://doi.org/10.1017/9781108242066.010openalex-snapshot
Basic Example of the Correspondence between Theories and Proof Systems
inferred← citeshttps://doi.org/10.1017/9781108242066.011openalex-snapshot
The Two Worlds of Bounded Arithmetic
inferred← citeshttps://doi.org/10.1017/9781108242066.012openalex-snapshot
Up to EF via the 〈. . .〉 Translation
inferred← citeshttps://doi.org/10.1017/9781108242066.013openalex-snapshot
Examples of Upper Bounds and p-Simulations
inferred← citeshttps://doi.org/10.1017/9781108242066.014openalex-snapshot
Beyond EF via the || . . . || Translation
inferred← citeshttps://doi.org/10.1017/9781108242066.016openalex-snapshot
LKd+1/2 and Combinatorial Restrictions
inferred← citeshttps://doi.org/10.1017/9781108242066.017openalex-snapshot
Fd and Logical Restrictions
inferred← citeshttps://doi.org/10.1017/9781108242066.018openalex-snapshot
Algebraic and Geometric Proof Systems
inferred← citeshttps://doi.org/10.1017/9781108242066.019openalex-snapshot
Feasible Interpolation: A Framework
inferred← citeshttps://doi.org/10.1017/9781108242066.020openalex-snapshot
Feasible Interpolation: Applications
inferred← citeshttps://doi.org/10.1017/9781108242066.022openalex-snapshot
Model Theory and Lower Bounds
inferred← citeshttps://doi.org/10.1017/9781108242066.024openalex-snapshot
The Nature of Proof Complexity
inferred← citeshttps://doi.org/10.1017/s0022481200028899openalex-snapshot
Alfred Tarski's elimination theory for real closed fields
inferred← citeshttps://doi.org/10.1090/bull/1768openalex-snapshot
The Connes embedding problem: A guided tour
inferred← citeshttps://doi.org/10.1090/proc/12595openalex-snapshot
Positivstellensatz for semi-algebraic sets in real closed valued fields
inferred← citeshttps://doi.org/10.1090/s0002-9904-1977-14334-6openalex-snapshot
Abraham Robinson, 1918-1974
inferred← citeshttps://doi.org/10.1090/s0002-9939-05-07879-2openalex-snapshot
On the absence of uniform denominators in Hilbert’s 17th problem
inferred← citeshttps://doi.org/10.1090/s0002-9939-1988-0934851-6openalex-snapshot
A new proof of McKenna’s theorem
inferred← citeshttps://doi.org/10.1090/s0002-9939-1988-0962795-2openalex-snapshot
A characterization of preordered fields with the weak Hilbert property
inferred← citeshttps://doi.org/10.2140/pjm.1981.97.357openalex-snapshot
Second note on Artin’s solution of Hilbert’s 17th problem. Order spaces
inferred← citeshttps://doi.org/10.2178/bsl/1333560809openalex-snapshot
2011 North American Annual Meeting of the Association for Symbolic Logic
inferred← citeshttps://doi.org/10.2307/2964396openalex-snapshot
Mathematical significance of consistency proofs
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