Using five processes P$1-$P$5,$ and read and write primitives defined below:

Read $($x$,$v$)$: Read value v from resource x

Write $($x$,$v$)$: Write value v on resource x

$(1)$ Propose a set of operations that show sequential consistency $($but not strict consistency$).$

Explain your answer.

$(2)$ Propose a set of operations that show causal consistency $($but not sequential consistency$).$

Explain your answer.

$(3)$ Propose a set of operations that show PRAM consistency $($but not causal consistency$).$

Explain your answer.

$(4)$ Propose a set of operations that show an inconsistent state.

Explain your answer.