Results 11 to 20 of about 38,933 (219)

Automated Theorem Proving in GeoGebra: Current Achievements [PDF]

open access: yesJournal of Automated Reasoning, 2015
GeoGebra is an open-source educational mathematics software tool, with millions of users worldwide. It has a number of features (integration of computer algebra, dynamic geometry, spreadsheet, etc.), primarily focused on facilitating student experiments, and not on formal reasoning.
Botana Ferreiro, Francisco Ramón   +6 more
openaire   +5 more sources

A Theorem Prover for Scientific and Educational Purposes [PDF]

open access: yesElectronic Proceedings in Theoretical Computer Science, 2018
We present a prototype of an integrated reasoning environment for educational purposes. The presented tool is a fragment of a proof assistant and automated theorem prover.
Mario Frank, Christoph Kreitz
doaj   +1 more source

Towards Intuitive Reasoning in Axiomatic Geometry [PDF]

open access: yesElectronic Proceedings in Theoretical Computer Science, 2019
Proving lemmas in synthetic geometry is often a time-consuming endeavour since many intermediate lemmas need to be proven before interesting results can be obtained.
Maximilian Doré, Krysia Broda
doaj   +1 more source

Automated Theorem Proving in the Classroom [PDF]

open access: yesElectronic Proceedings in Theoretical Computer Science, 2021
We report on several scenarios of using automated theorem proving software in university education. In particular, we focus on using the Theorema system in a software-enhanced logic-course for students in computer science or artificial intelligence.
openaire   +2 more sources

Implementing Natural Language Inference for comparatives

open access: yesJournal of Language Modelling, 2023
This paper presents a computational framework for Natural Language Inference (NLI) using logic-based semantic representations and theorem-proving. We focus on logical inferences with comparatives and other related constructions in English, which are ...
Izumi Haruta   +2 more
doaj   +1 more source

A proof-theoretic analysis of the classical propositional matrix method [PDF]

open access: yes, 2014
The matrix method, due to Bibel and Andrews, is a proof procedure designed for automated theorem-proving. We show that underlying this method is a fully structured combinatorial model of conventional classical proof theory.
Pym, D, Ritter, E, Robinson, E
core   +1 more source

Influences of Frege’s Predicate Logic on Some Computational Models [PDF]

open access: yesFuture Human Image, 2018
The purpose of this paper is to give some insights into the immense role of Frege’s first order logic (FOL) in the development of computer science. We argue that the FOL is fundamental in computer science, and that some computer science subfields could ...
Mohamad Awwad
doaj   +1 more source

Automated Theorem Proving for Metamath

open access: yes14th International Conference on Interactive Theorem Proving (ITP 2023), 2023
Metamath is a proof assistant that keeps surprising outsiders by its combination of a very minimalist design with a large library of advanced results, ranking high on the Freek Wiedijk’s 100 list. In this work, we develop several translations of the Metamath logic and its large set-theoretical library into higher-order and first-order TPTP formats for ...
Carneiro, Mario   +2 more
openaire   +4 more sources

A Comprehensive Formalization of Propositional Logic in Coq: Deduction Systems, Meta-Theorems, and Automation Tactics

open access: yesMathematics, 2023
The increasing significance of theorem proving-based formalization in mathematics and computer science highlights the necessity for formalizing foundational mathematical theories. In this work, we employ the Coq interactive theorem prover to methodically
Dakai Guo, Wensheng Yu
doaj   +1 more source

Smarter Features, Simpler Learning? [PDF]

open access: yesElectronic Proceedings in Theoretical Computer Science, 2019
Earlier work on machine learning for automated reasoning mostly relied on simple, syntactic features combined with sophisticated learning techniques. Using ideas adopted in the software verification community, we propose the investigation of more complex,
Sarah Winkler, Georg Moser
doaj   +1 more source

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