Stephan Falke

Inductive Decidability Using Implicit Induction Methods

Stephan Falke (University of New Mexico, Albuquerque, NM, USA)

Abstract:

Decision procedures are widely used in automated reasoning tools in order to reason about properties of data structures. In applications, however, many conjectures fall outside the theory handled by a decision procedure since reasoning about user-defined functions on those data structures is needed. For this, inductive reasoning has to be employed.

Since inductive reasoning typically requires substantial user interaction and guidance it cannot be used as a black-box within verification tools. In this work we identify classes of function definitions and conjectures about them for which inductive validity can be decided automatically. For this, we make use of implicit induction methods and decision procedures for the data structures the user-defined functions operate on.

The class of equational conjectures considered in this work significantly extends earlier results of Kapur, Giesl and Subramaniam by allowing nonlinear conjectures and by broadening the class of permitted function definitions.

BSc/MSc/Diploma Topics
Teaching WS 2012/13
Hybrid Systems Group

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Joost-Pieter Katoen has been appointed as a member of the renowned Academia Europaea (Academy of Europe), a European, non-governmental association acting as an Academy whose members are scientists and scholars who collectively aim to promote learning, education and research.

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Joost-Pieter Katoen has been awarded a Distinguished Professorship from the RWTH Aachen University.

The Hybrid Systems: Computation and Control (HSCC'13) conference in Philadelphia has been very successful: Hongfei Fu received the best student paper award for his paper "Approximating acceptance probabilities of CTMC-paths on multi-clock deterministic timed automata". Besides, the paper by Ilya Tkachev, Alexandru Mereacre, Alessandro Abate and Joost-Pieter Katoen was ranked second in the overall best paper award selection.

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Marijn Jongerden received the German MMB (Messung, Modellierung und Bewertung von Rechensystemen) Award 2012 of the GI/ITG-Committee for Measurement, Modelling and Evaluation of Computing Systems for his PhD-thesis on "Model-based energy analysis of battery powered systems". His work was supervised by Boudewijn Haverkort (Twente) and Joost-Pieter Katoen.

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