TY - JOUR A1 - Ehrig, Hartmut A1 - Golas, Ulrike A1 - Habel, Annegret A1 - Lambers, Leen A1 - Orejas, Fernando T1 - M-adhesive transformation systems with nested application conditions. Part 1: parallelism, concurrency and amalgamation JF - Mathematical structures in computer science : a journal in the applications of categorical, algebraic and geometric methods in computer science N2 - Nested application conditions generalise the well-known negative application conditions and are important for several application domains. In this paper, we present Local Church-Rosser, Parallelism, Concurrency and Amalgamation Theorems for rules with nested application conditions in the framework of M-adhesive categories, where M-adhesive categories are slightly more general than weak adhesive high-level replacement categories. Most of the proofs are based on the corresponding statements for rules without application conditions and two shift lemmas stating that nested application conditions can be shifted over morphisms and rules. Y1 - 2014 U6 - https://doi.org/10.1017/S0960129512000357 SN - 0960-1295 SN - 1469-8072 VL - 24 IS - 4 PB - Cambridge Univ. Press CY - New York ER - TY - GEN A1 - Ehrig, Hartmut A1 - Golas, Ulrike A1 - Habel, Annegret A1 - Lambers, Leen A1 - Orejas, Fernando T1 - M-adhesive transformation systems with nested application conditions BT - Part 1: parallelism, concurrency and amalgamation T2 - Postprints der Universität Potsdam : Digital Engineering Reihe N2 - Nested application conditions generalise the well-known negative application conditions and are important for several application domains. In this paper, we present Local Church-Rosser, Parallelism, Concurrency and Amalgamation Theorems for rules with nested application conditions in the framework of M-adhesive categories, where M-adhesive categories are slightly more general than weak adhesive high-level replacement categories. Most of the proofs are based on the corresponding statements for rules without application conditions and two shift lemmas stating that nested application conditions can be shifted over morphisms and rules. T3 - Zweitveröffentlichungen der Universität Potsdam : Reihe der Digital Engineering Fakultät - 1 KW - level-replacement systems KW - graph-transformations KW - distributed systems KW - synchronization KW - confluence KW - categories KW - programs KW - grammars KW - model Y1 - 2020 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:kobv:517-opus4-415651 IS - 001 ER -