Problem: Wwo sentences:
Police said they believe Cruz knew of the girl through one of her former schoolmates - though neither the girl nor her family knew him .
Police said on Monday they believed Cruz knew of the fourth-grade girl through one of her former schoolmates , although neither the girl nor her family knew him .
Do they have the same meaning?

Answer: yes

Problem: Wwo sentences:
The updated 64-bit operating system , Windows XP 64-Bit Edition for 64-Bit Extended Systems , will run natively on AMD Athlon 64 processor-powered desktops and AMD Opteron processor-powered workstations .
Windows XP 64-bit Edition for 64-Bit Extended Systems will support AMD64 technology , running natively on AMD Athlon 64 powered desktops and AMD Opteron processor-powered workstations .
Do they have the same meaning?

Answer: yes

Problem: Wwo sentences:
In Lytle Creek Canyon , a 4-foot-high mud flow crossed a road , trapping a car .
In Lytle Creek Canyon , the rain caused several mudslides , including a 4-foot-high flow across a road that trapped a car .
Do they have the same meaning?

Answer: no

Problem: Wwo sentences:
Justice Anthony M. Kennedy also dissented from the dismissal .
Justices Anthony Kennedy , Sandra Day O 'Connor and Stephen Breyer dissented .
Do they have the same meaning?

Answer:
no