TY - UNPD A1 - Schmidt-Schauß, Manfred A1 - Mann, Matthias T1 - On equivalences and standardization in a non-deterministic call-by-need lambda calculus T2 - Technical report Frank / Johann-Wolfgang-Goethe-Universität, Fachbereich Informatik und Mathematik, Institut für Informatik ; 31 N2 - The goal of this report is to prove correctness of a considerable subset of transformations w.r.t. contextual equivalence in a an extended lambda-calculus with case, constructors, seq, let, and choice, with a simple set of reduction rules. Unfortunately, a direct proof appears to be impossible. The correctness proof is by defining another calculus comprising the complex variants of copy, case-reduction and seq-reductions that use variablebinding chains. This complex calculus has well-behaved diagrams and allows a proof that of correctness of transformations, and also that the simple calculus defines an equivalent contextual order. T3 - Technical report Frank / Johann-Wolfgang-Goethe-Universität, Fachbereich Informatik und Mathematik, Institut für Informatik - 31 Y1 - 2007 UR - http://publikationen.ub.uni-frankfurt.de/frontdoor/index/index/docId/510 UR - https://nbn-resolving.org/urn:nbn:de:hebis:30-50344 UR - http://www.ki.informatik.uni-frankfurt.de/papers/frank/frank31-approxcalc.pdf IS - Version: 15 August 2007 EP - 26 PB - Johann Wolfgang Goethe-Univ., Fachbereich Informatik und Mathematik, Inst. für Informatik, Research group for Artificial Intelligence and Software Technology CY - Frankfurt [am Main] ER -