Infinitary lambda calculus and discrimination of Berarducci trees

  • Authors:
  • Mariangiola Dezani-Ciancaglini;Paula Severi;Fer-Jan de Vries

  • Affiliations:
  • Dipartimento di Informatica, Università degli Studi di Torino, Corso Svizzera 185, I-10149, Torino, Italy;Centro de Matemática, Facultad de Ciencias, Universidad de la República Oriental del Uruguay, Iguá 4225 CP 11400, Montevideo, Uruguay;Department of Mathematics and Computer Science, University of Leicester, University Road, Leicester, LE1 7RH, UK

  • Venue:
  • Theoretical Computer Science - Australasian computer science
  • Year:
  • 2003

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Abstract

We propose an extension of lambda calculus for which the Berarducci trees equality coincides with observational equivalence, when we observe rootstable or rootactive behavior of terms. In one direction the proof is an adaptation of the classical Böhm out technique. In the other direction the proof is based on confluence for Strongly converging reductions in this extension.