The force of certain posturing involving Left in imprecise reasoning? (5,5)
I believe the answer is:
fuzzy logic
'imprecise reasoning?' is the definition.
'the force of certain posturing involving left' is the wordplay.
'the force' becomes 'fuzz' (both are names for the police).
'of certain posturing' becomes 'yogic' (referring to yoga).
'involving' indicates putting letters inside.
'left' becomes 'l' (common abbreviation).
'yogic' going around 'l' is 'ylogic'.
'fuzz'+'ylogic'='FUZZY LOGIC'
'in' is the link.
(Another definition for fuzzy logic that I've seen is " IT system".)
I've seen this clue in The Times.
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