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Main Authors: Vehlken, Fabian, Zeume, Thomas, Bustamante, Emilio Carrasco, Cornély, Maëlle, Pradel, Lukas
Format: Preprint
Published: 2026
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Online Access:https://arxiv.org/abs/2602.19673
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author Vehlken, Fabian
Zeume, Thomas
Bustamante, Emilio Carrasco
Cornély, Maëlle
Pradel, Lukas
author_facet Vehlken, Fabian
Zeume, Thomas
Bustamante, Emilio Carrasco
Cornély, Maëlle
Pradel, Lukas
contents First-order logic is the basis for many knowledge representation formalisms and methods. Providing technological support for learning to write first-order formulas for natural language specifications requires methods to test formulas for (non-)equivalence and to provide explanations for non-equivalence. We propose such methods based on both theoretical insights and existing tools, implement them, and report on experiments testing their effectiveness on a large educational data set with > 100.000 pairs of first-order formulas.
format Preprint
id arxiv_https___arxiv_org_abs_2602_19673
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Identifying and Explaining (Non-)Equivalence of First-Order Logic Formulas
Vehlken, Fabian
Zeume, Thomas
Bustamante, Emilio Carrasco
Cornély, Maëlle
Pradel, Lukas
Logic in Computer Science
First-order logic is the basis for many knowledge representation formalisms and methods. Providing technological support for learning to write first-order formulas for natural language specifications requires methods to test formulas for (non-)equivalence and to provide explanations for non-equivalence. We propose such methods based on both theoretical insights and existing tools, implement them, and report on experiments testing their effectiveness on a large educational data set with > 100.000 pairs of first-order formulas.
title Identifying and Explaining (Non-)Equivalence of First-Order Logic Formulas
topic Logic in Computer Science
url https://arxiv.org/abs/2602.19673