Sangiorgi, Davide and Xu, Xian - Trees from Functions as Processes

lmcs:4448 - Logical Methods in Computer Science, August 27, 2018, Volume 14, Issue 3
Trees from Functions as Processes

Authors: Sangiorgi, Davide and Xu, Xian

Levy-Longo Trees and Bohm Trees are the best known tree structures on the {\lambda}-calculus. We give general conditions under which an encoding of the {\lambda}-calculus into the {\pi}-calculus is sound and complete with respect to such trees. We apply these conditions to various encodings of the call-by-name {\lambda}-calculus, showing how the two kinds of tree can be obtained by varying the behavioural equivalence adopted in the {\pi}-calculus and/or the encoding.

Source :
DOI : 10.23638/LMCS-14(3:11)2018
Volume: Volume 14, Issue 3
Published on: August 27, 2018
Submitted on: April 19, 2018
Keywords: Computer Science - Logic in Computer Science


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