“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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Statements (35)

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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Referenced by (4)

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

Alfred Tarski → knownFor → Tarski’s high school algebra problem ⓘ
linked to: “A Decision Method for Elementary Algebra and Geometry”
Alfred Tarski → notableWork → “A Decision Method for Elementary Algebra and Geometry” ⓘ
Tarski’s theorem on the completeness of elementary algebra and geometry → relatedTo → Tarski–Seidenberg theorem ⓘ
linked to: “A Decision Method for Elementary Algebra and Geometry”
Alfred Tarski → notableWork → Tarski’s high school algebra problem ⓘ
subject linked to: Alfred Teitelbaum
linked to: “A Decision Method for Elementary Algebra and Geometry”