Hilbert's tenth problem

GPTKB entity

Properties (70)
Predicate Object
gptkbp:instanceOf mathematical problem
gptkbp:addresses gptkb:Yuri_Matiyasevich
gptkbp:designedBy gptkb:David_Hilbert
gptkbp:hasInventor number theory
gptkbp:hasRelatedPatent computer science
https://www.w3.org/2000/01/rdf-schema#label Hilbert's tenth problem
gptkbp:inspiredBy algorithmic number theory
gptkbp:involves computability theory
gptkbp:isA decision problem
gptkbp:isActiveIn academic journals
gptkbp:isAssociatedWith gptkb:Hilbert's_first_problem
decidability
gptkbp:isCitedIn research papers
scholarly articles
theses
dissertations
mathematical reviews
gptkbp:isConnectedTo algebraic geometry
mathematical proofs
mathematical conjectures
gptkbp:isConsidered a landmark result
a foundational problem in mathematics
a significant challenge
gptkbp:isDiscussedIn conferences
online forums
academic conferences
mathematical literature
academic circles
mathematical forums
gptkbp:isExaminedBy philosophical discussions
academic literature
mathematical discussions
mathematical seminars
gptkbp:isExploredIn workshops
research projects
philosophy of mathematics
graduate courses
research papers on logic
gptkbp:isInfluencedBy logic
theoretical computer science
algorithm design
discrete mathematics
mathematical philosophy
gptkbp:isKnownFor its negative solution
gptkbp:isPartOf gptkb:Hilbert's_problems
theoretical frameworks
mathematical education
mathematical research
mathematical theory
mathematical discourse
mathematical history
gptkbp:isReflectedIn textbooks
gptkbp:isRelatedTo gptkb:Gödel's_incompleteness_theorems
set theory
computational complexity
complexity theory
Turing machines
formal systems
gptkbp:isStudiedIn research institutions
mathematicians
logicians
mathematical communities
theoretical mathematicians
gptkbp:issues Diophantine_equations
gptkbp:isUtilizedFor students
mathematicians
gptkbp:relatedTo mathematical logic
undecidability
gptkbp:yearEstablished 1900
gptkbp:yearsActive 1970