Formal Verification of Invariants for Attributed Graph Transformation Systems Based on Nested Attributed Graph Conditions

被引:9
|
作者
Schneider, Sven [1 ]
Dyck, Johannes [1 ]
Giese, Holger [1 ]
机构
[1] Univ Potsdam, Hasso Plattner Inst, Potsdam, Germany
来源
GRAPH TRANSFORMATION, ICGT 2020 | 2020年 / 12150卷
关键词
Formal static analysis; Symbolic state space abstraction; k-induction; Symbolic graphs; Isabelle;
D O I
10.1007/978-3-030-51372-6_15
中图分类号
TP31 [计算机软件];
学科分类号
081202 ; 0835 ;
摘要
The behavior of various kinds of dynamic systems can be formalized using typed attributed graph transformation systems (GTSs). The states of these systems are then modelled using graphs and the evolution of the system from one state to another is described by a finite set of graph transformation rules. GTSs with small finite state spaces can be analyzed with ease but analysis is intractable/undecidable for GTSs inducing large/infinite state spaces due to the inherent expressiveness of GTSs. Hence, automatic analysis procedures do not terminate or return indefinite or incorrect results. We propose an analysis procedure for establishing state-invariants for GTSs that are given by nested graph conditions (GCs). To this end, we formalize a symbolic analysis algorithm based on k-induction using Isabelle, apply it to GTSs and GCs over typed attributed graphs, develop support to single out some spurious counter-examples, and demonstrate the feasibility of the approach using our prototypical implementation.
引用
收藏
页码:257 / 275
页数:19
相关论文
共 2 条
  • [1] Symbolic graphs for attributed graph constraints
    Orejas, Fernando
    JOURNAL OF SYMBOLIC COMPUTATION, 2011, 46 (03) : 294 - 315
  • [2] Metric Temporal Graph Logic over Typed Attributed Graphs
    Giese, Holger
    Maximova, Maria
    Sakizloglou, Lucas
    Schneider, Sven
    FUNDAMENTAL APPROACHES TO SOFTWARE ENGINEERING (FASE 2019), 2019, 11424 : 282 - 298