Adds theories/algebra/ZqCentered.ec providing the centered (signed) i…#995
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Adds theories/algebra/ZqCentered.ec providing the centered (signed) i…#995mbbarbosa wants to merge 1 commit into
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ZModPCentered.ec introduces ZpCentered / ZpCenteredField with the canonical centered representative (crepr) on Z/pZ, supporting distributions, absolute value, triangle / product / monotonicity inequalities, and prime-only negation symmetry. PolyReduce.ec adds PolyReduceZpCentered / PolyReduceZpCenteredField: centered-representation infinity-norm machinery on polyXnD1, plus a DynMatrix-based vector/matrix layer with predicate-style _le / _lt bound checks and computed inf_norm soundness lemmas.
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Adds
theories/algebra/ZqCentered.ecproviding the centered (signed)integer representation of Z/pZ elements.
Two abstract theories:
crepron Zq and on int, range/round-trip lemmas, additive/multiplicative
algebraic laws, centered absolute value
"|_|"with triangle/productinequalities, negation symmetry
abs_zpN.creprN,creprN2,creprND.This is based on a theory (not authored by me) that is used in the proof of security of dilithium:
https://github.com/formosa-crypto/dilithium/blob/368acabdf65c7756a6f5696ff11e8c051f991769/proofs/utils/ZModFieldExtras.eca