The duty of burning pamphlets outside Westminster Hall also devolved upon the hangman, apparently as a way of performing, publicly, the
condemnation of seditious tracts.
con·dem·na·tion
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n

d

m-n


sh

n)
n.1. a. The act of condemning.
b. The state of being condemned.
2. Severe reproof; strong censure.
3. A reason or occasion for condemning.
con·demn
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n-d

m

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tr.v. con·demned,
con·demn·ing,
con·demns1. To express strong disapproval of: condemned the needless waste of food.
2. To pronounce judgment against; sentence: condemned the felons to prison.
3. To judge or declare to be unfit for use or consumption, usually by official order: condemn an old building.
4. To lend credence to or provide evidence for an adverse judgment against: were condemned by their actions.
5. Law To appropriate (property) for public use.
I don't think the hangman is rebuking the pamphlets, nor pronouncing a judgment against someone by burning those pamphlets as demamded by the legal authority. Shouldn't it be punishment instead?