Full Lambek Calculus with Contraction is Undecidable
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985807%3A_____%2F16%3A00442807" target="_blank" >RIV/67985807:_____/16:00442807 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1017/jsl.2015.18" target="_blank" >http://dx.doi.org/10.1017/jsl.2015.18</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1017/jsl.2015.18" target="_blank" >10.1017/jsl.2015.18</a>
Alternative languages
Result language
angličtina
Original language name
Full Lambek Calculus with Contraction is Undecidable
Original language description
We prove that the set of formulae provable in the full Lambek calculus with the structural rule of contraction is undecidable. In fact, we show that the positive fragment of this logic is undecidable.
Czech name
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Czech description
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Classification
Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
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Result continuities
Project
<a href="/en/project/GAP202%2F11%2F1632" target="_blank" >GAP202/11/1632: Algebraic Methods in Proof Theory</a><br>
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
Journal of Symbolic Logic
ISSN
0022-4812
e-ISSN
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Volume of the periodical
81
Issue of the periodical within the volume
2
Country of publishing house
US - UNITED STATES
Number of pages
17
Pages from-to
524-540
UT code for WoS article
000379947600008
EID of the result in the Scopus database
2-s2.0-84977178290