Typed answer set programming lambda calculus theories and correctness of inverse lambda algorithms with respect to them. Baral, C., Dzifcak, J., Gonzalez, M. A, & Gottesman, A. Theory and Practice of Logic Programming, 12(4-5):775–791, Cambridge University Press, 2012.
bibtex   
@article{baral2012typed,
  title={Typed answer set programming lambda calculus theories and correctness of inverse lambda algorithms with respect to them},
  author={Baral, Chitta and Dzifcak, Juraj and Gonzalez, Marcos A and Gottesman, Aaron},
  journal={Theory and Practice of Logic Programming},
  volume={12},
  number={4-5},
  pages={775--791},
  year={2012},
  publisher={Cambridge University Press}
}

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