We consider formal sequences of d-dimensional vectors and symbols representing d-dimensional arrays and introduce the operations of catenation as well as ...
Algebraic Representations of Regular Array Languages 1 Introduction
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Together with the usual set union, these operations allow us to define d-dimensional regular array expressions and thus to develop an algebraic representation ...
Rudolf Freund, Alexandru Mateescu, Arto Salomaa: Algebraic Representations of Regular Array Languages. Finite Versus Infinite 2000: 127-148.
reposiTUm: Algebraic representation of regular array languages - TU Wien
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Title: Algebraic representation of regular array languages. Authors: Freund, Rudolf. Category: Conference presentation. Issue Date: 2006.
Algebraic Representation of Regular Array Languages on Cayley Graphs. In G. Paun (Ed.), Discrete Mathematics and Computer Science (pp. 165–189).
Regular languages are closed under homomorphisms: f(L) is regular whenever L is for any homomorphism f.
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The paper gives a characterization of regular array languages by means of special systems of equations (extending to the bidimensional case a classical result ...
This paper studies combinatory array logic from an algebraic perspective as the set of sentences true in certain power structure.
In abstract algebra, a representation of an associative algebra is a module for that algebra. Here an associative algebra is a (not necessarily unital) ring.
Oct 22, 2024 · I am aware there are specialised programming languages like Mathematica and Maple etc where you can do symbolic algebra, but I have yet to come across a ...