Compositional Abstraction Refinement for Component-Based Systems

Table 1

Train^𝛼	Controller^𝛼	Gate^𝛼
𝜙𝑛1=𝑙near∧𝑥=0	𝜙𝑐11=𝑙𝑐1∧𝑧=0	𝜙𝑔11=𝑙𝑔1∧𝑦=0
𝜙𝑛2=𝑙near∧1≤𝑥≤2	𝜙𝑐12=𝑙𝑐1∧𝑧=1	𝜙𝑔12=𝑙𝑔1∧𝑦=1
𝜙𝑛3=𝑙near∧3≤𝑥≤5	𝜙𝑐2=𝑙𝑐2∧𝑧≥1	𝜙𝑔2=𝑙𝑔2∧𝑦≥0
𝜙in=𝑙in∧3≤𝑥≤5	𝜙𝑐31=𝑙𝑐3∧𝑧=0	𝜙𝑔31=𝑙𝑔3∧𝑦=0
𝜙far=𝑙far∧𝑥≥3	𝜙𝑐32=𝑙𝑐3∧𝑧=1	𝜙𝑔32=𝑙𝑔3∧1≤𝑦
	𝜙𝑐0=𝑙𝑐0∧𝑧≥0	𝜙𝑔0=𝑙𝑔0∧𝑦≥1