Siberian Mathematical Journal

, Volume 60, Issue 3, pp 497–507 | Cite as

The Partial Clone of Linear Tree Languages

  • N. Lekkoksung
  • K. DeneckeEmail author


A term, also called a tree, is said to be linear, if each variable occurs in the term only once. The linear terms and sets of linear terms, the so-called linear tree languages, play some role in automata theory and in the theory of formal languages in connection with recognizability. We define a partial superposition operation on sets of linear trees of a given type τ and study the properties of some many-sorted partial clones that have sets of linear trees as elements and partial superposition operations as fundamental operations. The endomorphisms of those algebras correspond to nondeterministic linear hypersubstitutions.


linear term linear tree language clone partial clone linear hypersubstitution nondeterministic linear hypersubstitution 


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© Pleiades Publishing, Inc. 2019

Authors and Affiliations

  1. 1.University of Potsdam, Institute of MathematicsPotsdamGermany
  2. 2.KhonKaen University, Department of MathematicsKhonKaenThailand

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