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Termination Analysis for Partial Functions ? Jurgen Brauburger and Jurgen Giesl

Summary: Termination Analysis for Partial Functions ?
J¨urgen Brauburger and J¨urgen Giesl
FB Informatik, TH Darmstadt, Alexanderstr. 10, 64283 Darmstadt, Germany
E­mail: fbrauburgerjgieslg@inferenzsysteme.informatik.th­darmstadt.de
Abstract. This paper deals with automated termination analysis for
partial functional programs, i.e. for functional programs which do not
terminate for each input. We present a method to determine their do­
mains (resp. non­trivial subsets of their domains) automatically. More
precisely, for each functional program a termination predicate algorithm
is synthesized, which only returns true for inputs where the program is
terminating. To ease subsequent reasoning about the generated termina­
tion predicates we also present a procedure for their simplification.
1 Introduction
Termination of algorithms is a central problem in software development and
formal methods for termination analysis are essential for program verification.
While most work on the automation of termination proofs has been done in
the areas of term rewriting systems (for surveys see e.g. [Der87, Ste95]) and of
logic programs (e.g. [UV88, Pl¨u90, SD94]), in this paper we focus on functional
Up to now all methods for automated termination analysis of functional


Source: Ábrahám, Erika - Fachgruppe Informatik, Rheinisch Westfälische Technische Hochschule Aachen (RWTH)


Collections: Computer Technologies and Information Sciences