diff --git a/.gitignore b/.gitignore new file mode 100644 index 0000000..dfb934a --- /dev/null +++ b/.gitignore @@ -0,0 +1,5 @@ +*.pdf +*.out +*.aux +*.nav +*.snm diff --git a/esorics2022/definitions.tex b/esorics2022/definitions.tex new file mode 100644 index 0000000..c2bdf3e --- /dev/null +++ b/esorics2022/definitions.tex @@ -0,0 +1,90 @@ +\newcommand{\blue}[1]{{\color{blue}#1}} +\newcommand{\red}[1]{{\color{red}#1}} +\newcommand{\Guardian}{\mathcal{G}} +\newcommand{\Child}{\mathcal{C}} +\newcommand{\Customer}{\mathcal{C}} +\newcommand{\Merchant}{\mathcal{M}} +\newcommand{\Exchange}{\mathcal{E}} + +\newcommand{\Commit}{\mathsf{Commit}} +\newcommand{\Attest}{\mathsf{Attest}} +\newcommand{\Verify}{\mathsf{Verify}} +\newcommand{\Derive}{\mathsf{Derive}} +\newcommand{\DeriveCompare}{\mathsf{DeriveCompare_\kappa}} +\newcommand{\Compare}{\mathsf{Compare}} +\newcommand{\AgeVer}{\mathsf{AgeVer}} + +\newcommand{\HashF}{\mathsf{H}} +\newcommand{\Hash}{\mathsf{H}} +\newcommand{\Block}{\mathbb{B}} +\newcommand{\Pub}{\mathsf{Pub}} +\newcommand{\Sign}{\mathsf{Sig}} +\newcommand{\Ver}{\mathsf{Ver}} +\newcommand{\Encoding}{\mathsf{Encoding}} +\newcommand{\ECDSA}{\mathsf{ECDSA}} +\newcommand{\Null}{\mathcal{O}} +\newcommand{\EC}{\mathrm{ec}} +\newcommand{\Curve}{\mathsf{Curve25519}} +\newcommand{\SHA}{\mathsf{SHA256}} +\newcommand{\SHAF}{\mathsf{SHA252}} +\newcommand{\FDH}{\mathsf{FDH}} + +\newcommand{\negl}{\epsilon} + +\newcommand{\rand}{\mathsf{rand}} +\newcommand{\age}{\mathsf{a}} +\newcommand{\Age}{\mathsf{M}} +\newcommand{\bage}{\mathsf{b}} +\newcommand{\minage}{\mathsf{m}} +\newcommand{\attest}{\mathsf{T}} +\newcommand{\commitment}{\mathsf{Q}} +\newcommand{\pruf}{\mathsf{P}} +\newcommand{\Vcommitment}{\vec{\mathsf{Q}}} +\newcommand{\Vpruf}{\vec{\mathsf{P}}} +\newcommand{\blinding}{\beta} + +\newcommand{\ZN}{\mathbb{Z}_N} +\newcommand{\Z}{\mathbb{Z}} +\newcommand{\N}{\mathbb{N}} +\newcommand{\A}{\mathbb{A}} +\newcommand{\E}{\mathbb{E}} +\newcommand{\F}{\mathbb{F}} +\newcommand{\seck}{\mathsf{s}} +\newcommand{\pubk}{\mathsf{P}} +\renewcommand{\H}{\mathbb{H}} +\newcommand{\K}{\mathbb{K}} +\newcommand{\Proofs}{\mathbb{P}} +\newcommand{\Commitments}{\mathbb{O}} +\newcommand{\Attests}{\mathbb{T}} +\newcommand{\Blindings}{\mathbb{B}} +\newcommand{\Nil}{\perp} + +\newcommand{\p}{\mathsf{p}} +\newcommand{\com}{\mathsf{com}} +\newcommand{\prf}{\mathsf{prf}} + +\newcommand{\Adv}{\mathcal{A}} +\newcommand{\PPT}{\mathfrak{A}} +\newcommand{\Probability}{\mathrm{Pr}} +\newcommand{\Algorithm}{f} +\renewcommand{\Game}[1]{G_\Adv^\mathsf{#1}} + +\DeclareMathOperator{\Image}{Im} +\DeclareMathOperator{\Mod}{mod} + +\newcommand{\Encode}[1]{\overbracket[0.5pt][2pt]{\,#1\,}} +\newcommand{\Decode}[1]{\underbracket[0.5pt][3pt]{\,#1\,}} +\newcommand{\FDHg}[1]{[#1]_g\,} +\newcommand{\logg}{{\breve{g}}} + + +\newcommand{\drawfrom}{\xleftarrow{\$}} +\newcommand\Exists{% + \mathop{\lower0.75ex\hbox{\ensuremath{% + \mathlarger{\mathlarger{\mathlarger{\mathlarger{\exists}}}}}}}% + \limits} + +\newcommand\Forall{% + \mathop{\lower0.75ex\hbox{\ensuremath{% + \mathlarger{\mathlarger{\mathlarger{\mathlarger{\forall}}}}}}}% + \limits}