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Decision Procedures for Multisets with Cardinality Constraints

Publications associées (77)

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Ordered Sets in the Calculus of Data Structures

Viktor Kuncak, Philippe Paul Henri Suter, Ruzica Piskac

Our goal is to identify families of relations that are useful for reasoning about software. We describe such families using decidable quantifier-free classes of logical constraints with a rich set of operations. A key challenge is to define such classes of ...

Springer2010

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

Ordered Sets in the Calculus of Data Structures

Viktor Kuncak, Philippe Paul Henri Suter, Ruzica Piskac

Springer-Verlag New York, Ms Ingrid Cunningham, 175 Fifth Ave, New York, Ny 10010 Usa2010

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

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 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

Counterexample-Guided Focus

The automated inference of quantified invariants is considered one of the next challenges in software verification. The question of the right precision-efficiency tradeoff for the corresponding program analyses here boils down to the question of the right ...

2010

MUNCH - Automated Reasoner for Sets and Multisets

Viktor Kuncak, Ruzica Piskac

This system description provides an overview of the MUNCH reasoner for sets and multisets. MUNCH takes as the input a formula in a logic that supports expressions about sets, multisets, and integers. Constraints over collections and integers are connected ...

Springer2010

Strategy logic

We introduce strategy logic, a logic that treats strategies in two-player games as explicit first-order objects. The explicit treatment of strategies allows us to specify properties of nonzero-sum games in a simple and natural way. We show that the one-alt ...

2010