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Decision Procedures for Algebraic Data Types with Abstractions

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On Integrating Deductive Synthesis and Verification Systems

Viktor Kuncak, Etienne Kneuss, Ivan Kuraj, Philippe Paul Henri Suter

We describe techniques for synthesis and verification of recursive functional programs over unbounded domains. Our techniques build on top of an algorithm for satisfiability modulo recursive functions, a framework for deductive synthesis, and complete synt ...

2013

Models capturing latent constructs

Michel Bierlaire, Aurélie Glerum

In the context of the development of hybrid choice models (HCM), we are interested in understanding better how to design models which can account for the latent information contained in new data types (psychometrics, data from smartphones, etc.) for which ...

2011

Towards Complete Reasoning about Axiomatic Specifications

Viktor Kuncak, Swen Jacobs

To support verification of expressive properties of functional programs, we consider algebraic style specifications that may relate multiple user-defined functions, and compare multiple invocations of a function for different arguments. We present decision ...

Springer-Verlag New York, Ms Ingrid Cunningham, 175 Fifth Ave, New York, Ny 10010 Usa2011

On an Efficient Decision Procedure for Imperative Tree Data Structures

Viktor Kuncak

We present a new decidable logic called TREX for expressing constraints about imperative tree data structures. In particular, TREX supports a transitive closure operator that can express reachability constraints, which often appear in data structure invari ...

2011

On Satisfiability Modulo Computable Functions

Viktor Kuncak, Philippe Paul Henri Suter, Ali Sinan Köksal

We present a semi-decision procedure for checking satisfiability of formulas in the language of algebraic data types and integer linear arithmetic extended with user-defined terminating recursive functions. Our procedure is designed to integrate into a DPL ...

2010

Building a Calculus of Data Structures

Viktor Kuncak, Philippe Paul Henri Suter, Ruzica Piskac

Techniques such as verification condition generation, predicate abstraction, and expressive type systems reduce software verification to proving formulas in expressive logics. Programs and their specifications often make use of data structures such as sets ...

Springer2010

Software Verification by Combining Program Analyses of Adjustable Precision

Grégory Théoduloz

In automatic software verification, we have observed a theoretical convergence of model checking and program analysis. In practice, however, model checkers, on one hand, are still mostly concerned with precision, e.g., the removal of spurious counterexampl ...

EPFL2010

Shape Refinement through Explicit Heap Analysis

Dirk Thilo Beyer, Grégory Théoduloz, Damien Zufferey

Shape analysis is a promising technique to prove program properties about recursive data structures. The challenge is to automatically determine the data-structure type, and to supply the shape analysis with the necessary information about the data structu ...

Springer2010

On Complete Reasoning about Axiomatic Specifications

Viktor Kuncak, Swen Jacobs

Automated software verification tools typically accept specifications of functions in terms of pre- and postconditions. However, many properties of functional programs can be more naturally specified using a more general form of universally quantified prop ...

2010

On Sets with Cardinality Constraints in Satisfiability Modulo Theories

Viktor Kuncak, Philippe Paul Henri Suter, Robin Steiger

Boolean Algebra with Presburger Arithmetic (BAPA) is a decidable logic that can express constraints on sets of elements and their cardinalities. Problems from verification of complex properties of software often contain fragments that belong to quantifier- ...

2010