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Concept

Propositional formula

Related publications (20)

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

On algebraic array theories

Viktor Kuncak, Rodrigo Raya

Automatic verification of programs manipulating arrays relies on specialised decision procedures. A methodology to classify the theories handled by these procedures is introduced. It is based on decomposition theorems in the style of Feferman and Vaught. T ...

Elsevier Science Inc2023

LISA – A Modern Proof System

Viktor Kuncak, Simon Guilloud, Sankalp Gambhir

We present LISA, a proof system and proof assistant for constructing proofs in schematic first-order logic and axiomatic set theory. The logical kernel of the system is a proof checker for first-order logic with equality and schematic predicate and fun ...

Dagstuhl, Germany, Schloss Dagstuhl - Leibniz-Zentrum fur Informatik2023

Towards a Radical Housing Responsibility

Luca Giovanni Pattaroni, Ifigeneia Dimitrakou

Responsibility—as an analytic or topic of political debate—is out of vogue in critical housing studies. Rather than offering progressive potential, the call for responsibility has been seen to foster neoliberal governance, racial structural violence, and f ...

2023

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

Nonlocal Effects Reflect the Jamming Criticality in Frictionless Granular Flows Down Inclines

Matthieu Wyart, Hugo Robin Louis Perrin

The jamming transition is accompanied by a rich phenomenology such as hysteresis or nonlocal effects that is still not well understood. Here, we experimentally investigate a model frictionless granular layer flowing down an inclined plane as a way to disen ...

AMER PHYSICAL SOC2021

An Ink–and–Paper Automaton: The Conceptual Mechanization of Cognition and the Practical Automation of Reasoning in Leibniz’s De Affectibus (1679)

Simon François Dumas Primbault

On ten loose handwritten folios dating back from April 1679, Leibniz gradually devised, in the course of three days, a full-blown theory of thought that nonetheless remained unpublished and still has received little attention from scholars. Conceiving of a ...

2020

The Complexity of Self-Dual Monotone 7-Input Functions

Giovanni De Micheli, Mathias Soeken, Eleonora Testa, Winston Jason Haaswijk

The study of the complexity of Boolean functions has recently found applications in logic synthesis and optimization algorithms, as for instance in logic rewriting. Previous works have focused on the minimum length of Boolean chains for functions up to 5 i ...

2019

A template for constructing Bayesian networks in forensic biology cases when considering activity level propositions

Christophe Champod

The hierarchy of propositions has been accepted amongst the forensic science community for some time. It is also accepted that the higher up the hierarchy the propositions are, against which the scientist are competent to evaluate their results, the more d ...

2018

RM3 based logic synthesis

Giovanni De Micheli, Pierre-Emmanuel Julien Marc Gaillardon, Mathias Soeken

In-memory computing devices, such as resistive RAMs, natively implement material implication or a variant of the majority-of-three operation called RM3. This operation generalizes material implication and has been used as target operation in sev ...

IEEE2017

A Sound and Complete Axiomatization of Majority-n Logic

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

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

Disambiguating Discourse Connectives for Statistical Machine Translation

Andrei Popescu-Belis, Thomas Meyer

This paper shows that the automatic labeling of discourse connectives with the relations they signal, prior to machine translation (MT), can be used by phrase-based statistical MT systems to improve their translations. This improvement is demonstrated here ...

2015

Exploiting Circuit Duality to Speed Up SAT

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

In this paper, we establish a non-trivial duality between tautology and contradiction check to speed up circuit SAT. Tautology check determines if a logic circuit is true in every possible interpretation. Analogously, contradiction check dete ...

IEEE2015

NEM Relay Design with Biconditional Binary Decision Diagrams

Giovanni De Micheli, Pierre-Emmanuel Julien Marc Gaillardon, Luca Gaetano Amarù, Winston Jason Haaswijk

In this paper, we present an improved design flow for nanoelectromechanical (NEM) relay-based combinational logic circuits. Six-terminal NEM relays can be programmed to act as 2-to-1 multiplexers. We can therefore use NEM relays to implement arbitrary comb ...

IEEE2015

Biconditional Binary Decision Diagrams: A Novel Canonical Logic Representation Form

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

In this paper, we present biconditional binary deci- sion diagrams (BBDDs), a novel canonical representation form for Boolean functions. BBDDs are binary decision diagrams where the branching condition, and its associated logic expansion, is biconditional ...

2014

An Efficient Manipulation Package for Biconditional Binary Decision Diagrams

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

Biconditional Binary Decision Diagrams (BBDDs) are a novel class of binary decision diagrams where the branching condition, and its associated logic expansion, is biconditional on two variables. Reduced and ordered BBDDs are remarkably compact and unique f ...

IEEE2014

Annotating the meaning of discourse connectives by looking at their translation: The translation-spotting technique

Thomas Meyer

The various meanings of discourse connectives like while and however are difficult to identify and annotate, even for trained human annotators. This problem is all the more important that connectives are salient textual markers of cohesion and need to be c ...

2013

Biconditional BDD: A Novel Canonical BDD for Logic Synthesis targeting XOR-rich Functions

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

We present a novel class of decision diagrams, called Biconditional Binary Decision Diagrams (BBDDs), that enable efficient logic synthesis for XOR-rich functions. BBDDs are binary decision diagrams where the Shannon’s expansion is replaced by the bicondit ...

2013

Aligning Value and Implementation in Service Design: A Systemic Approach

Alain Wegmann, Gil Regev, Arash Golnam

The promise of service design is to enable a service supplier to prosper by delivering continuous value to customers. This prosperity is of strategic value to the service supplier. There is value in a service for both the service supplier and its service c ...

2012

Sets with Cardinality Constraints in Satisfiability Modulo Theories

Viktor Kuncak, Philippe Paul Henri Suter

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- ...

Springer-Verlag New York, Ms Ingrid Cunningham, 175 Fifth Ave, New York, Ny 10010 Usa2011