The paper gives a first-order theory of Dirac notation whose equations can be checked by a terminating, confluent rewrite system, implemented in DiracDec, with soundness proved in Coq.
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Automating Equational Proofs in Dirac Notation
The paper gives a first-order theory of Dirac notation whose equations can be checked by a terminating, confluent rewrite system, implemented in DiracDec, with soundness proved in Coq.