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  Algebraic Structures of Directed Acyclic Graphs: Application to concurrent calculus, report of (1994) [1 citations — 1 self]

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by Dorel Lucanu
Depart. of Computer Science, University of Ia��si
http://www.infoiasi.ro/~dlucanu/ijcm95.ps.gz
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Abstract:

The paper defines an algebraic tool for manipulating directed acyclic graphs (on short dags). The approach we propose combines two mathematical tools-- category theory and universal algebra-- and it allows an unitary treating of dags transformations. We show that the specification, implementation and programming of concurrent systems can be achieved by using this theory. 1

Citations

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42 A logical theory of concurrent objects – Meseguer - 1990
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3 Parallel and distributed derivations in the single-pushout approach – Ehrig, Lowe - 1993
2 Gh.S¸tefănescu, Classes of finite relations as initial abstract data types – Căzănescu - 1991
1 Dauchet: Th'eorie de magmoids (I et – Arnold, M - 1978
1 Systems of equations on 2W-algebras – Lucanu
1 Processes and Traces are Proofs in Petri Net Rewrite Theory, report of – Lucanu - 1994
1 Canonical Forms in Dag Algebras report of – Lucanu - 1994
1 Rationalit'e et reconnaissabilit'e dans des graphs , Th`ese d'etat – Warin - 1986