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
T2  - 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
UR  - https://publishup.uni-potsdam.de/frontdoor/index/index/docId/37651
SN  - 0960-1295
SN  - 1469-8072
VL  - 24
IS  - 4
PB  - Cambridge Univ. Press
CY  - New York
ER  -