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First-order logic (FOL) has proved to be a versatile and expressive tool as the basis of abstract modeling languages. Used to verify complex systems with unbounded domains, such as heap-manipulating programs and distributed protocols, FOL,…

Programming Languages · Computer Science 2024-12-02 Neta Elad , Sharon Shoham

Similarity in formal argumentation has recently gained attention due to its significance in problems such as argument aggregation in semantics and enthymeme decoding. While existing approaches focus on propositional logic, we address the…

Artificial Intelligence · Computer Science 2026-04-15 Victor David , Jérôme Delobelle , Jean-Guy Mailly

Temporal epistemic logic is a well-established framework for expressing agents knowledge and how it evolves over time. Within language-based security these are central issues, for instance in the context of declassification. We propose to…

Cryptography and Security · Computer Science 2012-09-03 Musard Balliu , Mads Dam , Gurvan Le Guernic

Over the past two decades several fragments of first-order logic have been identified and shown to have good computational and algorithmic properties, to a great extent as a result of appropriately describing the image of the standard…

Logic in Computer Science · Computer Science 2017-03-08 Lidia Tendera

First-Order Logic (FOL), also called first-order predicate calculus, is a formal language that provides a framework to comprehensively represent a world and its present state, including all of its entities, attributes, and complex…

Information Theory · Computer Science 2025-11-07 Ahmet Faruk Saz , Siheng Xiong , Faramarz Fekri

Logic can define how agents are provided or denied access to resources, how to interlink resources using mining processes and provide users with choices for possible next steps in a workflow. These decisions are for the most part hidden,…

Logic in Computer Science · Computer Science 2023-05-16 Patrick Hochstenbach , Jos De Roo , Ruben Verborgh

We introduce a formal theory called Flow where the intended interpretation of its terms is that of function. We prove ZF, ZFC and ZFU (ZF with atoms) can be immersed within Flow as natural consequences from our framework. Our first…

Logic · Mathematics 2021-03-31 Adonai Sant'Anna , Renato Brodzinski , Marcio de França , Otávio Bueno

SAFE is a clean-slate design for a highly secure computer system, with pervasive mechanisms for tracking and limiting information flows. At the lowest level, the SAFE hardware supports fine-grained programmable tags, with efficient and…

In these notes we propose a new, simpler proof system for first-order matching logic with application and definedness. The new proof system is inspired by Tarski's axiomatization for first order-logic with equality (simplified by Kalish and…

Logic in Computer Science · Computer Science 2025-06-26 Laurenţiu Leuştean , Dafina Trufaş

This paper presents a distributed agent-based automated theorem proving framework based on order-sorted first-order logic. Each agent in our framework has its own knowledge base, communicating to its neighboring agent(s) using…

Logic in Computer Science · Computer Science 2016-09-09 Dohan Kim

Linear Temporal Logic (LTL) is one of the most popular temporal logics, that comes into play in a variety of branches of computer science. Among the various reasons of its widespread use there are its strong foundational properties: LTL is…

Artificial Intelligence · Computer Science 2024-02-14 Alessandro Cimatti , Luca Geatti , Nicola Gigante , Angelo Montanari , Stefano Tonetta

A cyclic proof system allows us to perform inductive reasoning without explicit inductions. We propose a cyclic proof system for HFLN, which is a higher-order predicate logic with natural numbers and alternating fixed-points. Ours is the…

Logic in Computer Science · Computer Science 2021-08-13 Mayuko Kori , Takeshi Tsukada , Naoki Kobayashi

A widespread design approach in distributed applications based on the service-oriented paradigm, such as web-services, consists of clearly separating the enforcement of authorization policies and the workflow of the applications, so that…

Cryptography and Security · Computer Science 2009-06-26 Michele Barletta , Silvio Ranise , Luca Viganò

Controlling resource usage in distributed systems is a challenging task given the dynamics involved in access granting. Consider, for instance, the setting of floating licenses where access can be granted if the request originates in a…

Programming Languages · Computer Science 2018-02-19 Jovanka Pantovic , Ivan Prokic , Hugo Torres Vieira

Information flow security is classically formulated in terms of the absence of illegal information flows, with respect to a security setting consisting of a single flow policy that specifies what information flows should be permitted in the…

Programming Languages · Computer Science 2019-01-09 Ana Almeida Matos , Jan Cederquist

Recent studies on the Shapes Constraint Language (SHACL), a W3C specification for validating RDF graphs, rely on translating the language into first-order logic in order to provide formally-grounded solutions to the validation, containment…

Artificial Intelligence · Computer Science 2024-06-13 Paolo Pareti

Proofs are traditionally syntactic, inductively generated objects. This paper reformulates first-order logic (predicate calculus) with proofs which are graph-theoretic rather than syntactic. It defines a combinatorial proof of a formula…

Logic · Mathematics 2019-06-27 Dominic J. D. Hughes

In this paper we consider first-order logic theorem proving and model building via approximation and instantiation. Given a clause set we propose its approximation into a simplified clause set where satisfiability is decidable. The…

Logic in Computer Science · Computer Science 2015-05-22 Andreas Teucke , Christoph Weidenbach

This paper presents a method for inducing logic programs from examples that learns a new class of concepts called first-order decision lists, defined as ordered lists of clauses each ending in a cut. The method, called FOIDL, is based on…

Artificial Intelligence · Computer Science 2008-02-03 R. J. Mooney , M. E. Califf

Propositional temporal logic over the real number time flow is finitely axiomatisable, but its first-order counterpart is not recursively axiomatisable. We study the logic that combines the propositional axiomatisation with the usual axioms…

Logic · Mathematics 2025-08-13 Robert Goldblatt