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Tarski's geometry modelled in Mizar computerized proof assistant
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What this work says
Outgoing claims: the papers this work cites, builds on, or argues with.
inferredcites →https://doi.org/10.1007/10930755_21openalex-snapshot
Formalizing Hilbert’s Grundlagen in Isabelle/Isar
inferredcites →https://doi.org/10.1007/3-540-32370-8_15openalex-snapshot
On the Computer-Assisted Reasoning about Rough Sets
inferredcites →https://doi.org/10.1007/3-540-36469-2_13openalex-snapshot
On the Integrity of a Repository of Formalized Mathematics
inferredcites →https://doi.org/10.1007/978-3-319-08587-6_38openalex-snapshot
OTTER Proofs in Tarskian Geometry
inferredcites →https://doi.org/10.1007/978-3-319-20615-8_17openalex-snapshot
Mizar: State-of-the-art and Beyond
inferredcites →https://doi.org/10.1007/978-3-319-20615-8_25openalex-snapshot
Documentation Generator Focusing on Symbols for the HTML-ized Mizar Library
inferredcites →https://doi.org/10.1007/978-3-540-73086-6_20openalex-snapshot
Revisions as an Essential Tool to Maintain Mathematical Repositories
inferredcites →https://doi.org/10.1007/978-3-540-77356-6_9openalex-snapshot
Mechanical Theorem Proving in Tarski’s Geometry
inferredcites →https://doi.org/10.1007/978-3-642-03359-9_5openalex-snapshot
A Brief Overview of Mizar
inferredcites →https://doi.org/10.1007/978-3-642-14128-7_12openalex-snapshot
Automated Reasoning and Presentation Support for Formalizing Mathematics in Mizar
inferredcites →https://doi.org/10.1007/978-3-642-22673-1_11openalex-snapshot
Licensing the Mizar Mathematical Library
inferredcites →https://doi.org/10.1007/978-3-642-69418-9openalex-snapshot
Metamathematische Methoden in der Geometrie
inferredcites →https://doi.org/10.1007/bf00245024openalex-snapshot
Automated development of Tarski's geometry
inferredcites →https://doi.org/10.1007/s10817-012-9261-6openalex-snapshot
On Rewriting Rules in Mizar
inferredcites →https://doi.org/10.1007/s10817-012-9267-0openalex-snapshot
Methods of Lemma Extraction in Natural Deduction Proofs
inferredcites →https://doi.org/10.1007/s10817-015-9331-7openalex-snapshot
Definitional Expansions in Mizar
inferredcites →https://doi.org/10.1007/s10817-015-9333-5openalex-snapshot
Mechanizing Complemented Lattices Within Mizar Type System
inferredcites →https://doi.org/10.1016/j.eswa.2012.02.188openalex-snapshot
Modelling of a’fortiori reasoning
inferredcites →https://doi.org/10.1016/s0049-237x(09)70017-5openalex-snapshot
What is Elementary Geometry?
inferredcites →https://doi.org/10.1016/s0168-0072(98)00017-7openalex-snapshot
A common axiom set for classical and intuitionistic plane geometry
inferredcites →https://doi.org/10.1017/s1755020309990098openalex-snapshot
A FORMAL SYSTEM FOR EUCLID’SELEMENTS
inferredcites →https://doi.org/10.1080/00029890.1978.11994688openalex-snapshot
The Morley Trisector Theorem
inferredcites →https://doi.org/10.1515/forma-2016-0012openalex-snapshot
Tarski Geometry Axioms – Part II
inferredcites →https://doi.org/10.15439/2015f229openalex-snapshot
Equality in computer proof-assistants
inferredcites →https://doi.org/10.2168/lmcs-8(1:30)2012openalex-snapshot
A Synthesis of the Procedural and Declarative Styles of Interactive Theorem Proving
inferredcites →https://doi.org/10.2478/v10037-012-0012-2openalex-snapshot
Operations of Points on Elliptic Curve in Projective Coordinates
inferredcites →https://doi.org/10.2478/v10037-012-0018-9openalex-snapshot
Routh’s, Menelaus’ and Generalized Ceva’s Theorems
inferredcites →https://doi.org/10.26686/wgtn.16999462openalex-snapshot
A Mechanical Verification of the Independence of Tarski's Euclidean Axiom
inferredcites →https://doi.org/10.3233/fi-2013-933openalex-snapshot
Automated Discovery of Properties of Rough Sets
inferredcites →https://doi.org/10.3233/fi-2014-1129openalex-snapshot
Efficient Rough Set Theory Merging
inferredcites →https://doi.org/10.6092/issn.1972-5787/4552openalex-snapshot
Mixing Computations and Proofs
What points at this work
Incoming claims: where this work appears in other papers’ reference lists and arguments.
inferred← citeshttps://doi.org/10.1007/978-3-030-53518-6_22openalex-snapshot
Dataset Description: Formalization of Elementary Number Theory in Mizar
inferred← citeshttps://doi.org/10.1007/s10817-022-09643-1openalex-snapshot
Towards Formalising Schutz’ Axioms for Minkowski Spacetime in Isabelle/HOL
inferred← citeshttps://doi.org/10.1515/forma-2016-0012openalex-snapshot
Tarski Geometry Axioms – Part II
inferred← citeshttps://doi.org/10.1515/forma-2017-0028openalex-snapshot
Tarski Geometry Axioms. Part III
inferred← citeshttps://doi.org/10.15439/2017f282openalex-snapshot
Modeling value-based reasoning for autonomous agents
inferred← citeshttps://doi.org/10.2478/forma-2018-0004openalex-snapshot
Klein-Beltrami Model. Part II
inferred← citeshttps://doi.org/10.2478/forma-2019-0008openalex-snapshot
Tarski Geometry Axioms. Part IV – Right Angle
inferred← citeshttps://doi.org/10.2478/forma-2021-0016openalex-snapshot
Duality Notions in Real Projective Plane
inferred← citeshttps://doi.org/10.2478/forma-2023-0026openalex-snapshot
Tarski Geometry Axioms. Part V – Half-planes and Planes
inferred← citeshttps://doi.org/10.4204/eptcs.290.4openalex-snapshot
Towards Intuitive Reasoning in Axiomatic Geometry
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