A proof-theoretic treatment of λ-reduction with cut-elimination: λ-calculus as a logic programming language

Michael Gabbay. A proof-theoretic treatment of λ-reduction with cut-elimination: λ-calculus as a logic programming language. Journal of Symbolic Logic, 76(2):673-699, 2011. [doi]

@article{Gabbay11-2,
  title = {A proof-theoretic treatment of λ-reduction with cut-elimination: λ-calculus as a logic programming language},
  author = {Michael Gabbay},
  year = {2011},
  url = {http://projecteuclid.org/euclid.jsl/1305810770},
  tags = {programming languages, logic programming, programming, logic},
  researchr = {https://researchr.org/publication/Gabbay11-2},
  cites = {0},
  citedby = {0},
  journal = {Journal of Symbolic Logic},
  volume = {76},
  number = {2},
  pages = {673-699},
}