%0 Conference Proceedings %T Towards Critical Pair Analysis for the Graph Programming Language GP 2 %+ University of York [York, UK] %A Hristakiev, Ivaylo %A Plump, Detlef %Z Part 4: Regular Papers %< avec comité de lecture %( Lecture Notes in Computer Science %B 23th International Workshop on Algebraic Development Techniques (WADT) %C Gregynog, United Kingdom %Y Phillip James %Y Markus Roggenbach %I Springer International Publishing %3 Recent Trends in Algebraic Development Techniques %V LNCS-10644 %P 153-169 %8 2016-09-21 %D 2016 %R 10.1007/978-3-319-72044-9_11 %Z Computer Science [cs]Conference papers %X We present the foundations of critical pair analysis for the graph programming language GP 2. Our goal is to develop a static checker that can prove or refute confluence (functional behaviour) for a large class of graph programs. In this paper, we introduce symbolic critical pairs of GP 2 rule schemata, which are labelled with expressions, and establish the completeness and finiteness of the set of symbolic critical pairs over a finite set of rule schemata. We give a procedure for their construction. %G English %Z TC 1 %Z WG 1.3 %2 https://inria.hal.science/hal-01767473/document %2 https://inria.hal.science/hal-01767473/file/433330_1_En_11_Chapter.pdf %L hal-01767473 %U https://inria.hal.science/hal-01767473 %~ IFIP-LNCS %~ IFIP %~ IFIP-TC %~ IFIP-TC1 %~ IFIP-WG1-3 %~ IFIP-WADT %~ IFIP-LNCS-10644