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BIOCOMP
2008
13 years 6 months ago
Combinations of Context-Free Shifts and Shifts of Finite Type
A Dyck shift and a Motzkin shift are mathematical models for constraints on genetic sequences. In terms of the theory of symbolic dynamics, neither of the Dyck shift nor the Motzki...
Hiroshi Kamabe
ICALP
2009
Springer
14 years 4 months ago
Decidability of Conjugacy of Tree-Shifts of Finite Type
A one-sided (resp. two-sided) shift of finite type of dimension one can be described as the set of infinite (resp. bi-infinite) sequences of consecutive edges in a finite-state aut...
Nathalie Aubrun, Marie-Pierre Béal
CORR
2008
Springer
84views Education» more  CORR 2008»
13 years 4 months ago
On the Period of a Periodic-Finite-Type Shift
Periodic-finite-type shifts (PFT's) form a class of sofic shifts that strictly contains the class of shifts of finite type (SFT's). In this paper, we investigate how the ...
Akiko Manada, Navin Kashyap
CSR
2010
Springer
13 years 8 months ago
Sofic and Almost of Finite Type Tree-Shifts
We introduce the notion of sofic tree-shifts which corresponds to symbolic dynamical systems of infinite trees accepted by finite tree automata. We show that, contrary to shifts of...
Nathalie Aubrun, Marie-Pierre Béal
JSYML
2010
70views more  JSYML 2010»
12 years 11 months ago
The bounded functional interpretation of the double negation shift
We prove that the (non-intuitionistic) law of the double negation shift has a bounded functional interpretation with bar recursive functionals of finite type. As an application, we...
Patrícia Engrácia, Fernando Ferreira