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

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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 po ...

2024

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

The Complexity of Checking Non-Emptiness in Symbolic Tree Automata

Rodrigo Raya

We study the satisfiability problem of symbolic tree automata and decompose it into the satisfiability problem of the existential first-order theory of the input characters and the existential monadic second-order theory of the indices of the accepted word ...

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

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

Busy Man’s Synthesis: Combinational Delay Optimization With SAT

Giovanni De Micheli, Mathias Soeken

Boolean SAT solving can be used to find a minimum- size logic network for a given small Boolean function. This paper extends the SAT formulation to find a minimum-size network under delay constraints. Delay constraints are given in terms of input arrival t ...

Ieee2017

metaSMT: focus on your application and not on solver integration

Mathias Soeken, Heinz Riener

Many applications from artificial intelligence and formal methods use decision procedures as their core solving engines. In this context, automated reasoning based on Satisfiability (SAT) or Satisfiability Modulo Theories (SMT) is very effective. For a giv ...

Springer Verlag2017

Reflection: A Socratic approach

Reflection is a fuzzy concept. In this article we reveal the paradoxes involved in studying the nature of reflection. Whereas some scholars emphasize its discursive nature, we go further and underline its resemblance to the self-biased dialogue Socrates ha ...

Sage Publications Ltd2017

A Sound and Complete Axiomatization of Majority-n Logic

Giovanni De Micheli, Pierre-Emmanuel Julien Marc Gaillardon, Luca Gaetano Amarù, Anupam Chattopadhyay

Manipulating logic functions via majority operators recently drew the attention of researchers in computer science. For example, circuit optimization based on majority operators enables superior results as compared to traditional logic systems. Also, the B ...

Institute of Electrical and Electronics Engineers2016