All

What are you looking for?

All
Projects
Results
Organizations

Quick search

  • Projects supported by TA ČR
  • Excellent projects
  • Projects with the highest public support
  • Current projects

Smart search

  • That is how I find a specific +word
  • That is how I leave the -word out of the results
  • “That is how I can find the whole phrase”

Division by zero

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F16%3A00463644" target="_blank" >RIV/67985840:_____/16:00463644 - isvavai.cz</a>

  • Result on the web

    <a href="http://dx.doi.org/10.1007/s00153-016-0508-5" target="_blank" >http://dx.doi.org/10.1007/s00153-016-0508-5</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1007/s00153-016-0508-5" target="_blank" >10.1007/s00153-016-0508-5</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    Division by zero

  • Original language description

    For any sufficiently strong theory of arithmetic, the set of Diophantine equations provably unsolvable in the theory is algorithmically undecidable, as a consequence of the MRDP theorem. In contrast, we show decidability of Diophantine equations provably unsolvable in Robinson's arithmetic Q. The argument hinges on an analysis of a particular class of equations, hitherto unexplored in Diophantine literature. We also axiomatize the universal fragment of Q in the process.

  • Czech name

  • Czech description

Classification

  • Type

    J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

  • CEP classification

    BA - General mathematics

  • OECD FORD branch

Result continuities

  • Project

  • Continuities

    I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Others

  • Publication year

    2016

  • Confidentiality

    S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Data specific for result type

  • Name of the periodical

    Archive for Mathematical Logic

  • ISSN

    0933-5846

  • e-ISSN

  • Volume of the periodical

    55

  • Issue of the periodical within the volume

    7

  • Country of publishing house

    DE - GERMANY

  • Number of pages

    17

  • Pages from-to

    997-1013

  • UT code for WoS article

    000385155700011

  • EID of the result in the Scopus database

    2-s2.0-84988696634