Research output: Contribution to journal › Article › peer-review
On recursively enumerable structures. / Selivanov, Victor.
In: Annals of Pure and Applied Logic, Vol. 78, No. 1-3, 04.04.1996, p. 243-258.Research output: Contribution to journal › Article › peer-review
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TY - JOUR
T1 - On recursively enumerable structures
AU - Selivanov, Victor
PY - 1996/4/4
Y1 - 1996/4/4
N2 - We state some general facts on r.e. structures, e.g. we show that the free countable structures in quasivarieties are r.e. and construct acceptable numerations and universal r.e. structures in quasivarieties. The last facts are similar to the existence of acceptable numerations of r.e. sets and creative sets. We state a universality property of the acceptable numerations, classify some index sets and discuss their relation to other decision problems. These results show that the r.e. structures behave in some respects better than the recursive structures.
AB - We state some general facts on r.e. structures, e.g. we show that the free countable structures in quasivarieties are r.e. and construct acceptable numerations and universal r.e. structures in quasivarieties. The last facts are similar to the existence of acceptable numerations of r.e. sets and creative sets. We state a universality property of the acceptable numerations, classify some index sets and discuss their relation to other decision problems. These results show that the r.e. structures behave in some respects better than the recursive structures.
UR - http://www.scopus.com/inward/record.url?scp=0030568393&partnerID=8YFLogxK
U2 - 10.1016/0168-0072(94)00050-6
DO - 10.1016/0168-0072(94)00050-6
M3 - Article
AN - SCOPUS:0030568393
VL - 78
SP - 243
EP - 258
JO - Annals of Pure and Applied Logic
JF - Annals of Pure and Applied Logic
SN - 0168-0072
IS - 1-3
ER -
ID: 127141515