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Ecumenical Propositional Tableau

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Author(s):
Leme, Renato ; Coniglio, Marcelo ; Lopes, Bruno ; Venturi, Giorgio
Total Authors: 4
Document type: Journal article
Source: STUDIA LOGICA; v. N/A, p. 28-pg., 2024-02-16.
Abstract

Ecumenical logic aims to peacefully join classical and intuitionistic logic systems, allowing for reasoning about both classical and intuitionistic statements. This paper presents a semantic tableau for propositional ecumenical logic and proves its soundness and completeness concerning Ecumenical Kripke models. We introduce the Ecumenical Propositional Tableau (ET\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$E_T$$\end{document}) and demonstrate its effectiveness in handling mixed statements. (AU)

FAPESP's process: 21/01025-3 - Genericity in the context of theorem proving: a cloud based proof assistant for flow-based languages
Grantee:Renato Reis Leme
Support Opportunities: Scholarships in Brazil - Doctorate