Vote Counting as Mathematical Proof

Carsten Schürmann, Dirk Pattinson

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Abstract

Trust in the correctness of an election outcome requires
proof of the correctness of vote counting. By formalising
particular voting protocols as rules, correctness of vote counting
amounts to
verifying that all rules have been applied correctly. A proof
of the outcome of any particular election then consists of a
sequence (or tree) of rule applications and provides an
independently checkable certificate of the validity of the result.
This reduces
the need to trust, or otherwise verify, the
correctness of the vote counting software once the certificate has
been validated. Using a rule-based formalisation of voting
protocols inside a theorem prover, we synthesise vote counting
programs that are not only provably correct, but also produce
independently verifiable certificates. These programs are
generated from a (formal) proof that every initial set of ballots
allows to decide the election winner according to
a set of given rules.
OriginalsprogEngelsk
TitelProceedings of 28th Australasian Joint Conference on Artificial Intelligence
RedaktørerBernhard Pfahringer, Jochen Renz
Antal sider11
Vol/bindLNAI 9457
UdgivelsesstedCanberra
ForlagSpringer
Publikationsdato1 dec. 2015
Udgave2015
Sider464-475
ISBN (Trykt)978-3-319-26349-6
ISBN (Elektronisk)978-3-319-26350-2
StatusUdgivet - 1 dec. 2015

Emneord

  • Election trust
  • Vote counting verification
  • Rule-based protocols
  • Theorem proving
  • Independently verifiable certificates

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