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Tasks:
Text Generation
Modalities:
Text
Sub-tasks:
language-modeling
Languages:
English
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\documentclass[11pt,a4paper]{article} | |
\usepackage[T1]{fontenc} | |
\usepackage{isabelle,isabellesym} | |
% this should be the last package used | |
\usepackage{pdfsetup} | |
% urls in roman style, theory text in math-similar italics | |
\urlstyle{rm} | |
\isabellestyle{it} | |
\begin{document} | |
\title{Abstract Completeness} | |
\author{Jasmin Christian Blanchette, Andrei Popescu, and Dmitriy Traytel} | |
\maketitle | |
\begin{abstract} | |
This is a formalization of an abstract property of possibly infinite | |
derivation trees (modeled by a codatatype), that represents the core of a | |
Beth--Hintikka-style proof of the first-order logic completeness theorem and | |
is independent of the concrete syntax or inference rules. This work is | |
described in detail in a publication by the authors \cite{bla-compl}. | |
The abstract proof can be instantiated for a wide range of Gentzen and tableau | |
systems as well as various flavors of FOL---e.g., with or without predicates, | |
equality, or sorts. Here, we give only a toy example instantiation with | |
classical propositional logic. A more serious instance---many-sorted FOL with | |
equality---is described elsewhere \cite{bla-mech}. | |
\end{abstract} | |
\bibliographystyle{abbrv} | |
\bibliography{root} | |
\tableofcontents | |
% sane default for proof documents | |
\parindent 0pt\parskip 0.5ex | |
% generated text of all theories | |
\input{session} | |
\end{document} | |
%%% Local Variables: | |
%%% mode: latex | |
%%% TeX-master: t | |
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