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Satisfiability Modulo Recursive Programs

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The Complexity of Satisfiability Checking for Symbolic Finite Automata

Rodrigo Raya

We study the satisfiability problem of symbolic finite automata and decompose it into the satisfiability problem of the theory of the input characters and the monadic second-order theory of the indices of accepted words. We use our decomposition to obtain ...

2023

NP Satisfiability for Arrays as Powers

Viktor Kuncak, Rodrigo Raya

We show that the satisfiability problem for the quantifier-free theory of product structures with the equicardinality relation is inNP. As an application, we extend the combinatory array logic fragmentto handle cardinality constraints. The resulting fragme ...

Springer, Cham2022

Refutation-based synthesis in SMT

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 ...

SPRINGER2019

Satisfiability-Based Methods for Digital Circuit Design, Debug, and Optimization

Andrew James Becker

Designing digital circuits well is notoriously difficult. This difficulty stems in part from the very many degrees of freedom inherent in circuit design, typically coupled with the need to satisfy various constraints. In this thesis, we demonstrate how for ...

EPFL2018

Canonical Computation without Canonical Representation

Mathias Soeken, Luca Gaetano Amarù, Ana Petkovska

A representation of a Boolean function is canonical if, given a variable order, only one instance of the representation is possible for the function. A computation is canonical if the result depends only on the Boolean function and a variable order, and do ...

IEEE2018

Verification by Reduction to Functional Programs

Régis William Blanc

In this thesis, we explore techniques for the development and verification of programs in a high-level, expressive, and safe programming language. Our programs can express problems over unbounded domains and over recursive and mutable data structures. We p ...

EPFL2017

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

Viktor Kuncak, Ravichandhran Kandhadai Madhavan, Sumith Kulal

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

Algorithmic Resource Verification

Ravichandhran Kandhadai Madhavan

Static estimation of resource utilisation of programs is a challenging and important problem with numerous applications. In this thesis, I present new algorithms that enable users to specify and verify their desired bounds on resource usage of functional p ...

EPFL2017

Termination of Open Higher-Order Programs

Viktor Kuncak, Nicolas Charles Yves Voirol, Ravichandhran Kandhadai Madhavan

We study the problem of proving termination of open, higher-order programs with recursive functions and datatypes. We identify a new point in the design space of solutions, with an appealing trade-off between simplicity of specification, modularity, and am ...

2017

An Update on Deductive Synthesis and Repair in the Leon Tool

Viktor Kuncak, Etienne Kneuss

We report our progress in scaling deductive synthesis and repair of recursive functional Scala programs in the Leon tool. We describe new techniques, including a more precise mechanism for encoding the space of meaningful candidate programs. Our techniques ...

2017