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Viktor Kuncak

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Publications associées (81)

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Proactive Synthesis of Recursive Tree-to-String Functions from Examples

Viktor Kuncak, Mikaël Mayer, Jad Hamza

Synthesis from examples enables non-expert users to generate programs by specifying examples of their behavior. A domain-specific form of such synthesis has been recently deployed in a widely used spreadsheet software product. In this paper we contribute t ...

2017

Orthologic with Axioms

Viktor Kuncak, Simon Guilloud

We study the proof theory and algorithms for orthologic, a logical system based on ortholattices, which have shown practical relevance in simplification and normalization of verification conditions. Ortholattices weaken Boolean algebras while having polyno ...

Association for Computing Machinery2024

Contract-Based Resource Verification for Higher-Order Functions with Memoization

Viktor Kuncak, Ravichandhran Kandhadai Madhavan

We present a new approach for specifying and verifying resource utilization of higher-order functional programs that use lazy evaluation and memoization. In our approach, users can specify the desired resource bound as templates with numerical holes e.g. a ...

Assoc Computing Machinery2017

Synthesis of Fixed-Point Programs

Viktor Kuncak, Eva Darulova

Several problems in the implementations of control systems, signal-processing systems, and scientific computing systems reduce to compiling a polynomial expression over the reals into an imperative program using fixed-point arithmetic. Fixed-point arithmet ...

2013

Programming with Enumerable Sets of Structures

Viktor Kuncak, Ivan Kuraj

We present an efficient, modular, and feature-rich framework for automated generation and validation of complex structures, suitable for tasks that explore a large space of structured values. Our framework is capable of exhaustive, incremental, parallel, a ...

Assoc Computing Machinery2015

Sound Compilation of Reals

Viktor Kuncak, Eva Darulova

Writing accurate numerical software is hard because of many sources of unavoidable uncertainties, including finite numerical precision of implementations. We present a programming model where the user writes a program in a real-valued implementation and sp ...

ACM2014

Equivalence Checking for Orthocomplemented Bisemilattices in Log-Linear Time

Viktor Kuncak, Simon Guilloud

We present a quasilinear time algorithm to decide the word problem on a natural algebraic structures we call orthocomplemented bisemilattices, a subtheory of boolean algebra. We use as a base a variation of Hopcroft, Ullman and Aho algorithm for tree isomo ...

Springer2022

Decision Procedures for Algebraic Data Types with Abstractions

Viktor Kuncak, Philippe Paul Henri Suter

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

Mechanized HOL Reasoning in Set Theory

Viktor Kuncak, Simon Guilloud, Sankalp Gambhir

We present a mechanized embedding of higher-order logic (HOL) and algebraic data types (ADTs) into first-order logic with ZFC axioms. Our approach interprets types as sets, with function (arrow) types coinciding with set-theoretic function spaces. We assum ...

2024

Formally Verified Quite OK Image Format

Viktor Kuncak, Mario Bucev

Lossless compression and decompression functions are ubiquitous operations that have a clear high-level specification and are thus suitable as verification benchmarks. Such functions are also important. On the one hand, they improve the performance of comm ...

TU Wien2022

Opis: Reliable Distributed Systems in OCaml

Viktor Kuncak, Dejan Kostic

Concurrency and distribution pose algorithmic and implementation challenges in developing reliable distributed systems, making the field an excellent testbed for evaluating programming language and verification paradigms. Several specialized domain-specifi ...

2009

Effect Analysis for Programs with Callbacks

Viktor Kuncak, Philippe Paul Henri Suter, Etienne Kneuss

We introduce a precise interprocedural effect analysis for programs with mutable state, dynamic object allocation, and dynamic dispatch. Our analysis is precise even in the presence of dynamic dispatch where the context-insensitive estimate on the number o ...

Springer Berlin Heidelberg2013

Opis: Reliable Distributed Systems in OCaml

Viktor Kuncak, Dejan Kostic

2009

Zippy LL(1) Parsing with Derivatives

Viktor Kuncak, Jad Hamza, Romain Edelmann

In this paper, we present an efficient, functional, and formally verified parsing algorithm for LL(1) context-free expressions based on the concept of derivatives of formal languages. Parsing with derivatives is an elegant parsing technique, which, in the ...

ASSOC COMPUTING MACHINERY2020

Solving quantified linear arithmetic by counterexample-guided instantiation

Viktor Kuncak, Andrew Joseph Reynolds

This paper presents a framework to derive instantiation-based decision procedures for satisfiability of quantified formulas in first-order theories, including its correctness, implementation, and evaluation. Using this framework we derive decision procedur ...

2017

Developing Verified Software Using Leon

Viktor Kuncak

We present Leon, a system for developing functional Scala programs annotated with contracts. Contracts in Leon can themselves refer to recursively defined functions. Leon aims to find counterexamples when functions do not meet the specifications, and proof ...

Springer-Verlag Berlin2015

Formula Normalizations in Verification

Viktor Kuncak, Simon Guilloud, Dragana Milovancevic, Mario Bucev

We propose a new approach for normalization and simplification of logical formulas. Our approach is based on algorithms for lattice-like structures. Specifically, we present two efficient algorithms for computing a normal form and deciding the word problem ...

2023

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

Full Functional Verification of Linked Data Structures

Viktor Kuncak

We present the first verification of full functional correctness for a range of linked data structure implementations, including mutable lists, trees, graphs, and hash tables. Specifically, we present the use of the Jahob verification system to verify form ...

2008

Linear Arithmetic with Stars

Viktor Kuncak, Ruzica Piskac

We consider an extension of integer linear arithmetic with a “star” operator takes closure under vector addition of the solution set of a linear arithmetic subformula. We show that the satisfiability problem for this extended language remains in NP (and th ...

Springer2008