Système axiomatique

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

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

A Toolbox for Barriers on Interactive Oracle Proofs

Alessandro Chiesa

Interactive oracle proofs (IOPs) are a proof system model that combines features of interactive proofs (IPs) and probabilistically checkable proofs (PCPs). IOPs have prominent applications in complexity theory and cryptography, most notably to constructing ...

SPRINGER INTERNATIONAL PUBLISHING AG2022

Minimum Cost Intervention Design for Causal Effect Identification

Negar Kiyavash, Sina Akbari, Seyed Jalal Etesami

Pearl's do calculus is a complete axiomatic approach to learn the identifiable causal effects from observational data. When such an effect is not identifiable, it is necessary to perform a collection of often costly interventions in the system to learn the ...

PMLR2022

Axiomatic scale theory

Martin Alois Rohrmeier, Daniel Harasim

Scales are a fundamental concept of musical practice around the world. They commonly exhibit symmetry properties that are formally studied using cyclic groups in the field of mathematical scale theory. This paper proposes an axiomatic framework for mathema ...

TAYLOR & FRANCIS LTD2020

An Operational Approach to Information Leakage

Ibrahim Issa

Given two random variables X and Y , an operational approach is undertaken to quantify the "leakage" of information from X to Y . The resulting measure L (X -> Y) is called maximal leakage, and is defined as the multiplicative increase, upon observing Y , ...

IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC2020

Structural Rewriting in XOR-Majority Graphs

Giovanni De Micheli, Mathias Soeken, Zhufei Chu

In this paper, we present a structural rewriting method for a recently proposed XOR-Majority graph (XMG), which has exclusive-OR (XOR), majority-of-three (MAJ), and inverters as primitives. XMGs are an extension of Majority-Inverter Graphs (MIGs). Previous ...

ASSOC COMPUTING MACHINERY2019

Configuration logics: Modeling architecture styles

Joseph Sifakis, Simon Bliudze, Anastasia Mavridou, Eduard Baranov

We study a framework for the specification of architecture styles as families of architectures involving a common set of types of components and coordination mechanisms. The framework combines two logics: 1) interaction logics for the specification of arch ...

Elsevier Science Inc2017

A Formally Verified NAT

George Candea, Solal Vincenzo Pirelli, Aikaterini Argyraki, Arseniy Zaostrovnykh, Luis David Figueiredo Mascarenhas Moreira Pedrosa

We present a Network Address Translator (NAT) written in C and proven to be semantically correct according to RFC 3022, as well as crash-free and memory-safe. There exists a lot of recent work on network verification, but it mostly assumes models of networ ...

Assoc Computing Machinery2017

Système axiomatique

Graph Chatbot

Orthologic with Axioms

LISA – A Modern Proof System

A Toolbox for Barriers on Interactive Oracle Proofs

Minimum Cost Intervention Design for Causal Effect Identification

Wigner Measures and Coherent Quantum Control

Axiomatic scale theory

An Operational Approach to Information Leakage

Structural Rewriting in XOR-Majority Graphs

Configuration logics: Modeling architecture styles

A Formally Verified NAT

Orthologic with Axioms

LISA – A Modern Proof System

A Toolbox for Barriers on Interactive Oracle Proofs

Minimum Cost Intervention Design for Causal Effect Identification

Axiomatic scale theory

An Operational Approach to Information Leakage

Structural Rewriting in XOR-Majority Graphs

Configuration logics: Modeling architecture styles

A Formally Verified NAT

Wigner Measures and Coherent Quantum Control