@inproceedings{1869,
abstract = {Boolean controllers for systems with complex datapaths are often very difficult to implement correctly, in particular when concurrency is involved. Yet, in many instances it is easy to formally specify correctness. For example, the specification for the controller of a pipelined processor only has to state that the pipelined processor gives the same results as a non-pipelined reference design. This makes such controllers a good target for automated synthesis. However, an efficient abstraction for the complex datapath elements is needed, as a bit-precise description is often infeasible. We present Suraq, the first controller synthesis tool which uses uninterpreted functions for the abstraction. Quantified firstorder formulas (with specific quantifier structure) serve as the specification language from which Suraq synthesizes Boolean controllers. Suraq transforms the specification into an unsatisfiable SMT formula, and uses Craig interpolation to compute its results. Using Suraq, we were able to synthesize a controller (consisting of two Boolean signals) for a five-stage pipelined DLX processor in roughly one hour and 15 minutes.},
author = {Hofferek, Georg and Gupta, Ashutosh},
booktitle = {HVC 2014},
editor = {Yahav, Eran},
location = {Haifa, Israel},
pages = {68 -- 74},
publisher = {Springer},
title = {{Suraq - a controller synthesis tool using uninterpreted functions}},
doi = {10.1007/978-3-319-13338-6_6},
volume = {8855},
year = {2014},
}
@inproceedings{1870,
abstract = {We investigate the problem of checking if a finite-state transducer is robust to uncertainty in its input. Our notion of robustness is based on the analytic notion of Lipschitz continuity - a transducer is K-(Lipschitz) robust if the perturbation in its output is at most K times the perturbation in its input. We quantify input and output perturbation using similarity functions. We show that K-robustness is undecidable even for deterministic transducers. We identify a class of functional transducers, which admits a polynomial time automata-theoretic decision procedure for K-robustness. This class includes Mealy machines and functional letter-to-letter transducers. We also study K-robustness of nondeterministic transducers. Since a nondeterministic transducer generates a set of output words for each input word, we quantify output perturbation using setsimilarity functions. We show that K-robustness of nondeterministic transducers is undecidable, even for letter-to-letter transducers. We identify a class of set-similarity functions which admit decidable K-robustness of letter-to-letter transducers.},
author = {Henzinger, Thomas A and Otop, Jan and Samanta, Roopsha},
booktitle = {Leibniz International Proceedings in Informatics, LIPIcs},
location = {Delhi, India},
pages = {431 -- 443},
publisher = {Schloss Dagstuhl - Leibniz-Zentrum für Informatik},
title = {{Lipschitz robustness of finite-state transducers}},
doi = {10.4230/LIPIcs.FSTTCS.2014.431},
volume = {29},
year = {2014},
}
@inproceedings{1872,
abstract = {Extensionality axioms are common when reasoning about data collections, such as arrays and functions in program analysis, or sets in mathematics. An extensionality axiom asserts that two collections are equal if they consist of the same elements at the same indices. Using extensionality is often required to show that two collections are equal. A typical example is the set theory theorem (∀x)(∀y)x∪y = y ∪x. Interestingly, while humans have no problem with proving such set identities using extensionality, they are very hard for superposition theorem provers because of the calculi they use. In this paper we show how addition of a new inference rule, called extensionality resolution, allows first-order theorem provers to easily solve problems no modern first-order theorem prover can solve. We illustrate this by running the VAMPIRE theorem prover with extensionality resolution on a number of set theory and array problems. Extensionality resolution helps VAMPIRE to solve problems from the TPTP library of first-order problems that were never solved before by any prover.},
author = {Gupta, Ashutosh and Kovács, Laura and Kragl, Bernhard and Voronkov, Andrei},
booktitle = {ATVA 2014},
editor = {Cassez, Franck and Raskin, Jean-François},
location = {Sydney, Australia},
pages = {185 -- 200},
publisher = {Springer},
title = {{Extensional crisis and proving identity}},
doi = {10.1007/978-3-319-11936-6_14},
volume = {8837},
year = {2014},
}
@inproceedings{1875,
abstract = {We present a formal framework for repairing infinite-state, imperative, sequential programs, with (possibly recursive) procedures and multiple assertions; the framework can generate repaired programs by modifying the original erroneous program in multiple program locations, and can ensure the readability of the repaired program using user-defined expression templates; the framework also generates a set of inductive assertions that serve as a proof of correctness of the repaired program. As a step toward integrating programmer intent and intuition in automated program repair, we present a cost-aware formulation - given a cost function associated with permissible statement modifications, the goal is to ensure that the total program modification cost does not exceed a given repair budget. As part of our predicate abstractionbased solution framework, we present a sound and complete algorithm for repair of Boolean programs. We have developed a prototype tool based on SMT solving and used it successfully to repair diverse errors in benchmark C programs.},
author = {Samanta, Roopsha and Olivo, Oswaldo and Allen, Emerson},
editor = {Müller-Olm, Markus and Seidl, Helmut},
location = {Munich, Germany},
pages = {268 -- 284},
publisher = {Springer},
title = {{Cost-aware automatic program repair}},
doi = {10.1007/978-3-319-10936-7_17},
volume = {8723},
year = {2014},
}
@article{1876,
abstract = {We study densities of functionals over uniformly bounded triangulations of a Delaunay set of vertices, and prove that the minimum is attained for the Delaunay triangulation if this is the case for finite sets.},
author = {Dolbilin, Nikolai and Edelsbrunner, Herbert and Glazyrin, Alexey and Musin, Oleg},
journal = {Moscow Mathematical Journal},
number = {3},
pages = {491 -- 504},
publisher = {Independent University of Moscow},
title = {{Functionals on triangulations of delaunay sets}},
volume = {14},
year = {2014},
}