@TechReport{Mari_etal2011, author="Mari, Federico and Melatti, Igor and Salvo, Ivano and Tronci, Enrico", title="From Boolean Functional Equations to Control Software", year="2011", publisher="CoRR, Technical Report", abstract="Many software as well digital hardware automatic synthesis methods define the set of implementations meeting the given system specifications with a boolean relation K. In such a context a fundamental step in the software (hardware) synthesis process is finding effective solutions to the functional equation defined by K. This entails finding a (set of) boolean function(s) F (typically represented using OBDDs, Ordered Binary Decision Diagrams) such that: 1) for all x for which K is satisfiable, K(x, F(x)) = 1 holds; 2) the implementation of F is efficient with respect to given implementation parameters such as code size or execution time. While this problem has been widely studied in digital hardware synthesis, little has been done in a software synthesis context. Unfortunately the approaches developed for hardware synthesis cannot be directly used in a software context. This motivates investigation of effective methods to solve the above problem when F has to be implemented with software. In this paper we present an algorithm that, from an OBDD representation for K, generates a C code implementation for F that has the same size as the OBDD for F and a WCET (Worst Case Execution Time) at most O(nr), being n = |x| the number of arguments of functions in F and r the number of functions in F.", optnote="exported from refbase (http://mclab.di.uniroma1.it/publications/show.php?record=105), last updated on Sat, 01 Dec 2012 14:49:29 +0100", opturl="http://arxiv.org/abs/1106.0468", archivePrefix="arXiv", eprint="1106.0468" }