Government exposed, having to resolve this person's issue over introduction of algorithm (5,10)

'over introduction of algorithm' is the definition.
I know nothing about this answer so I cannot judge whether it can be defined by this definition.

'government exposed having to resolve this person's issue' is the wordplay.
'government' becomes 'g'.
'exposed' means to look at the middle letters (outside letters removed).
'to resolve' becomes 'will' (I've seen this before).
'this person's' becomes 'iam' ('this person' being the crossword setter).
'issue' becomes 'son' (issue can mean someone's offspring).
The centre of 'having' is 'avin'.
'g'+'avin'+'will'+'iam'+'son'='GAVIN WILLIAMSON'