TY - UNPD A1 - Schmidt-Schauß, Manfred A1 - Machkasova, Elena T1 - A finite simulation method in a non-deterministic call-by-need calculus with letrec, constructors and case T2 - Technical report Frank / Johann-Wolfgang-Goethe-Universität, Fachbereich Informatik und Mathematik, Institut für Informatik ; 32 N2 - The paper proposes a variation of simulation for checking and proving contextual equivalence in a non-deterministic call-by-need lambda-calculus with constructors, case, seq, and a letrec with cyclic dependencies. It also proposes a novel method to prove its correctness. The calculus’ semantics is based on a small-step rewrite semantics and on may-convergence. The cyclic nature of letrec bindings, as well as nondeterminism, makes known approaches to prove that simulation implies contextual equivalence, such as Howe’s proof technique, inapplicable in this setting. The basic technique for the simulation as well as the correctness proof is called pre-evaluation, which computes a set of answers for every closed expression. If simulation succeeds in finite computation depth, then it is guaranteed to show contextual preorder of expressions. T3 - Technical report Frank / Johann-Wolfgang-Goethe-Universität, Fachbereich Informatik und Mathematik, Institut für Informatik - 32 [v.2] KW - Programmiersprache KW - Lambda-Kalkül KW - Operationale Semantik Y1 - 2009 UR - http://publikationen.ub.uni-frankfurt.de/frontdoor/index/index/docId/34429 UR - https://nbn-resolving.org/urn:nbn:de:hebis:30:3-344298 UR - http://www.ki.informatik.uni-frankfurt.de/papers/frank/frank32-finsim-v2.pdf IS - Version: 23 Juli 2009 EP - 60 PB - Johann Wolfgang Goethe-Univ., Fachbereich Informatik und Mathematik, Inst. für Informatik CY - Frankfurt am Main ER -