Inductive Synthesis of Functional Programs
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We present an approach to folding of finite program terms based on the detection of recurrence relations in a single given term which is considered as the kth unfolding of an unknown recursive program. Our approach goes beyond Summers’ classical approach in several aspects: It is language independent and works for terms belonging to an arbitrary term algebra; it allows induction of sets of recursive equations which are in some arbitrary ‘calls’ relation; induced equations can be dependent on more than one input parameters and we can detect interdependencies of variable substitutions in recursive calls; the given input terms can represent incomplete unfoldings of an hypothetical recursive program.
KeywordsInductive program synthesis folding recursive program schemes
TopicsSymbolic computations and machine learning term rewriting
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- [LM91]M. L. Lowry and R. D. McCarthy, editors. Autmatic Software Design. MIT Press, Cambridge, MA, 1991.Google Scholar
- [Sch01]Ute Schmid. Inductive synthesis of functional programs-Learning domain-specific control rules and abstract schemes. http://www.inf.uos.de/schmid/pub-ps/habil.ps.gz, Mai 2001. unpublished habilitation thesis.
- [SE99]S. Schrödl and S. Edelkamp. Inferring flow of control in program synthesis by example. In Proc. Annual German Conference on Artificial Intelligence (KI’99), Bonn, LNAI, pages 171–182. Springer, 1999.Google Scholar
- [SW00]U. Schmid and F. Wysotzki. Applying inductive programm synthesis to macro learning. In Proc. 5th International Conference on Artificial Intelligence Planning and Scheduling (AIPS 2000), pages 371–378. AAAI Press, 2000.Google Scholar