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Refutation-based synthesis in SMT

Publications associées (32)

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Counterexample-Guided Quantifier Instantiation for Synthesis in SMT, Computer Aided Verification

Viktor Kuncak, Andrew Joseph Reynolds

We introduce the first program synthesis engine implemented inside an SMT solver. We present an approach that extracts solution functions from unsatisfiability proofs of the negated form of synthesis conjectures. We also discuss novel counterexample-guided ...

2015

On Counter-Example Complete Verification for Higher-Order Functions

Viktor Kuncak, Etienne Kneuss, Nicolas Charles Yves Voirol

We present a verification procedure for pure higher-order functional Scala programs with parametric types. We show that our procedure is sound for proofs, as well as sound and complete for counter-examples. The procedure reduces the analysis of higher-orde ...

2015

Computing with an SMT Solver

Tiark Rompf, Nada Amin

Satisfiability modulo theories (SMT) solvers that support quantifier instantiations via matching triggers can be programmed to give practical support for user-defined theories. Care must be taken to avoid so-called matching loops, which may prevent termina ...

2014

Tree Interpolation in Vampire

Régis William Blanc, Laura Ildiko Kovacs, Ashutosh Gupta

We describe new extensions of the Vampire theorem prover for computing tree interpolants. These extensions generalize Craig interpolation in Vampire, and can also be used to derive sequence interpolants. We evaluated our implementation on a large number of ...

Springer Berlin Heidelberg2013

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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

Synthesis Modulo Recursive Functions

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

2013

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

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We present a semi-decision procedure for checking satisfiability of expressive correctness properties of recursive first-order functional programs. In our approach, both properties and programs are expressed in the same language, a subset of Scala. We impl ...

Springer-Verlag Berlin2011

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

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