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Presburger arithmetic

Presburger arithmetic is the first-order theory of the natural numbers with addition, named in honor of Mojżesz Presburger, who introduced it in 1929. The signature of Presburger arithmetic contains only the addition operation and equality, omitting the multiplication operation entirely. The theory is computably axiomatizable; the axioms include a schema…

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Presburger-definable integer relation

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Presburger arithmetic

Nodes57
Edges56
Triples43
Avg. degree1.96
Density0.035088
Components1

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Presburger arithmetic

Top relations

has application · 15
Presburger arithmetic → Because Presburger, For, Isabelle, Lean, Microsoft's Spec, More, Most, Nelson, Nipkow, Oppen, Presburger, Rocq, Stanford Pascal Verifier, The, This
related to Computational complexity · 9
Presburger arithmetic → Fischer, Hence, Let, Presburger, Rabin, Rabin's, Recent, The, Then Fischer
is a · 4
Presburger arithmetic → decidable theory, first-order theory of the natural numbers with addition, interesting example in computational complexity theory and computation, theorem or a nontheorem - note that a
related to overview · 3
Presburger arithmetic → In, Presburger, The
related to Presburger-definable integer relation · 3
Presburger arithmetic → For, Presburger-definable, Some
related to Properties · 3
Presburger arithmetic → For, Presburger, There
related to External links · 2
Presburger arithmetic → Philipp Rümmer, Theorem Prover

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Important terminology

arithmetic presburger displaystyle addition presburger-definable theory integer decidable theorem axioms complete set first-order algorithm relation also complexity multiplication integers pa

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Presburger arithmeticis afirst-order theory of the natural numbers with addition0.90text
Presburger arithmeticis adecidable theory0.90text
Presburger arithmeticis atheorem or a nontheorem - note that a0.90text
Presburger arithmeticis ainteresting example in computational complexity theory and computation0.90text
divisibility or primalityinstance ofit cannot formalize concepts0.80text
orinstance ofit cannot formalize concepts0.80text
more generallyinstance ofit cannot formalize concepts0.80text
any number concept leading to multiplication of variablesinstance ofit cannot formalize concepts0.80text
Presburger arithmetichas applicationBecause Presburger0.60section
Presburger arithmetichas applicationPresburger0.60section
Presburger arithmetichas applicationFor0.60section
Presburger arithmetichas applicationRocq0.60section

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