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On Satisfiability Modulo Computable Functions

Publications associées (86)

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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

RRB-Trees: Efficient Immutable Vectors

Tiark Rompf

Immutable vectors are a convenient data structure for functional programming and part of the standard library of modern languages like Clojure and Scala. The common implementation is based on wide trees with a fixed number of children per node, which allow ...

2011

Scala to the Power of Z3: Integrating SMT and Programming

Viktor Kuncak, Philippe Paul Henri Suter

We describe a system that integrates the SMT solver Z3 with the Scala programming language. The system supports the use of the SMT solver for checking satisfiability, unsatisfiability, as well as solution enumeration. The embedding of formula trees into Sc ...

Springer-Verlag Berlin2011

On Interactive Synthesis of Code Snippets

Viktor Kuncak, Tihomir Gvero, Ruzica Piskac

We describe a tool that applies theorem proving technology to synthesize code fragments that use given library functions. Our approach takes into account polymorphic type constraints as well as code behavior. We have found our system to be useful for synth ...

2011

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 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

Decision Procedures for Algebraic Data Types with Abstractions

Viktor Kuncak, Philippe Paul Henri Suter, Mirco Dotta

We describe a family of decision procedures that extend the decision procedure for quantifier-free constraints on recursive algebraic data types (term algebras) to support recursive abstraction functions. Our abstraction functions are catamorphisms (term a ...

2010

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

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