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Satisfiability Modulo Recursive Programs

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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

On Deciding Functional Lists with Sublist Sets

Viktor Kuncak

Motivated by the problem of deciding verification conditions for the verification of functional programs, we present new decision procedures for automated reasoning about functional lists. We first show how to decide in NP the satisfiability problem for lo ...

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

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

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

On Decision Procedures for Algebraic Data Types with Abstractions

Viktor Kuncak, Philippe Paul Henri Suter, Mirco Dotta

We describe a parameterized decision procedure that extends the decision procedure for functional recursive algebraic data types (trees) with the ability to specify and reason about abstractions of data structures. The abstract values are specified using r ...

2009

On Combining Theories with Shared Set Operations

Viktor Kuncak, Ruzica Piskac

We explore the problem of automated reasoning about the non-disjoint combination of theories that share set variables and operations. We prove a combination theorem and apply it to show the decidability of the satisfiability problem for a class of formulas ...

2009

Constraint Solving for Software Reliability and Text Analysis

Viktor Kuncak

We will develop and implement new algorithms for constraint solving and apply them to construct two classes of tools: 1) bug finding and verification tools building on tools such as Java PathFinder and Jahob; 2) tools for deep semantic analysis of texts co ...

2008

Fractional Collections with Cardinality Bounds, and Mixed Integer Linear Arithmetic with Stars

Viktor Kuncak, Ruzica Piskac

We present decision procedures for logical constraints that support reasoning about collections of elements such as sets, multisets, and fuzzy sets. Element membership in such collections is given by a characteristic function from a finite universe (of unk ...

2008

Lazy Shape Analysis

Dirk Thilo Beyer, Grégory Théoduloz

Many software model checkers are based on predicate abstraction. If the verification goal depends on pointer structures, the approach does not work well, because it is difficult to find adequate predicate abstractions for the heap. In contrast, shape analy ...

Springer2006