It is studied how taking the inverse image by a sliding block code affects the syntactic semigroup of a sofic subshift. The main tool are -semigroups, considered as recognition structures for sofic subshifts. A new algebraic invariant is obtained for weak equivalence of sofic subshifts, by determining which classes of sofic subshifts naturally defined by pseudovarieties of finite semigroups are closed under weak equivalence. Among such classes are the classes of almost finite type subshifts and aperiodic subshifts. The algebraic invariant is compared with other robust conjugacy invariants.
Mots-clés : sofic subshift, conjugacy, weak equivalence, $\zeta $-semigroup, pseudovariety
@article{ITA_2008__42_3_481_0, author = {Chaubard, Laura and Costa, Alfredo}, title = {A new algebraic invariant for weak equivalence of sofic subshifts}, journal = {RAIRO - Theoretical Informatics and Applications - Informatique Th\'eorique et Applications}, pages = {481--502}, publisher = {EDP-Sciences}, volume = {42}, number = {3}, year = {2008}, doi = {10.1051/ita:2008015}, mrnumber = {2434031}, zbl = {1155.37009}, language = {en}, url = {http://archive.numdam.org/articles/10.1051/ita:2008015/} }
TY - JOUR AU - Chaubard, Laura AU - Costa, Alfredo TI - A new algebraic invariant for weak equivalence of sofic subshifts JO - RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications PY - 2008 SP - 481 EP - 502 VL - 42 IS - 3 PB - EDP-Sciences UR - http://archive.numdam.org/articles/10.1051/ita:2008015/ DO - 10.1051/ita:2008015 LA - en ID - ITA_2008__42_3_481_0 ER -
%0 Journal Article %A Chaubard, Laura %A Costa, Alfredo %T A new algebraic invariant for weak equivalence of sofic subshifts %J RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications %D 2008 %P 481-502 %V 42 %N 3 %I EDP-Sciences %U http://archive.numdam.org/articles/10.1051/ita:2008015/ %R 10.1051/ita:2008015 %G en %F ITA_2008__42_3_481_0
Chaubard, Laura; Costa, Alfredo. A new algebraic invariant for weak equivalence of sofic subshifts. RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications, Tome 42 (2008) no. 3, pp. 481-502. doi : 10.1051/ita:2008015. http://archive.numdam.org/articles/10.1051/ita:2008015/
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