Publications related to Propositional formula

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 ...

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 ...

2023

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

On Polynomial Algorithms for Normalizing Formulas

Viktor Kuncak, Simon Guilloud, 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 ...

2022

The Gray-Wyner Network and Wyner's Common Information for Gaussian Sources

Michael Christoph Gastpar, Erixhen Sula

This paper presents explicit solutions for two related non-convex information extremization problems due to Gray and Wyner in the Gaussian case. The first problem is the Gray-Wyner network subject to a sum-rate constraint on the two private links. Here, ou ...

IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC2022

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

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, Alex Biedermann

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 ...

ELSEVIER IRELAND LTD2018

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Propositional formula

Orthologic with Axioms

On algebraic array theories

LISA – A Modern Proof System

Towards a Radical Housing Responsibility

On Polynomial Algorithms for Normalizing Formulas

The Gray-Wyner Network and Wyner's Common Information for Gaussian Sources

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

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

The Complexity of Self-Dual Monotone 7-Input Functions

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

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Chat with Graph Search

Towards a Radical Housing Responsibility

The Gray-Wyner Network and Wyner's Common Information for Gaussian Sources

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

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

On algebraic array theories

On Polynomial Algorithms for Normalizing Formulas

Orthologic with Axioms

The Complexity of Self-Dual Monotone 7-Input Functions

LISA – A Modern Proof System

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