“A Decision Method for Elementary Algebra and Geometry”

E353634

“A Decision Method for Elementary Algebra and Geometry” is Alfred Tarski’s influential work that presents a procedure for deciding the truth of statements in elementary algebra and geometry, laying foundations for decision theory in mathematical logic.

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Predicate Object
instanceOf mathematics book
monograph
work in mathematical logic
author Alfred Tarski
basedOn quantifier elimination for real-closed fields
contribution lays foundations for decision theory in mathematical logic
presents a decision method for elementary algebra
presents a decision method for elementary geometry
provides an algorithmic procedure to decide truth of certain mathematical statements
shows decidability of the first-order theory of real-closed fields
describes procedure for deciding truth of statements in elementary algebra
procedure for deciding truth of statements in elementary geometry
field algebra
decision theory in logic
geometry
mathematical logic
model theory
hasNotableAuthor Alfred Tarski
influenced automated theorem proving
computer algebra systems
development of decision procedures in logic
influencedBy first-order logic
real algebraic geometry
language English
mainTopic decision procedures
elementary algebra
elementary geometry
first-order theory of real-closed fields
notableFor being an early systematic treatment of decision methods in logic
showing that many problems in algebra and geometry are algorithmically decidable
relatedTo Tarski–Seidenberg theorem
decidability of real-closed fields
topic algorithmic decidability
elimination of quantifiers
formalization of algebra and geometry in first-order logic

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Full triples — surface form annotated when it differs from this entity's canonical label.

Alfred Tarski knownFor “A Decision Method for Elementary Algebra and Geometry”
this entity surface form: Tarski’s high school algebra problem
Alfred Tarski notableWork “A Decision Method for Elementary Algebra and Geometry”
Tarski’s theorem on the completeness of elementary algebra and geometry relatedTo “A Decision Method for Elementary Algebra and Geometry”
this entity surface form: Tarski–Seidenberg theorem