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Computerized proofs of geometric theorems: applications to mechanism problems

Computerized proofs of geometric theorems: applications to mechanism problems

Gröbner bases and characteristic sets have been widely used for the mechanical–computerized proofs of geometric theorems. Moreover, the first of these methods is also a classical method in inverse robot kinematics. Here we transfer the refutational approach for the proof of geometric theorems (both...

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Bibliographic Details
Main Author: Ioakimidis, Nikolaos
Other Authors: Ιωακειμίδης, Νικόλαος
Format: Technical Report
Language:English
Published: 2018
Subjects:
Gröbner bases
Characteristic sets
Computer algebra
Computerized proofs
Mechanical proofs
Proofs by contradiction
Refutational approach
Geometric theorems
Mechanisms
Velocities
Slider–crank mechanism
Four-bar linkage
Βάσεις Gröbner
Χαρακτηριστικά σύνολα
Υπολογιστική άλγεβρα
Αποδείξεις με τη χρήση υπολογιστή
Μηχανικές αποδείξεις
Αποδείξεις με την εις άτοπο απαγωγή
Μέθοδος με βάση τη διάψευση
Γεωμετρικά θεωρήματα
Μηχανισμοί
Ταχύτητες
Μηχανισμός διωστήρα–στροφάλου
Μηχανισμός τεσσάρων ράβδων
Online Access:http://hdl.handle.net/10889/10915
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http://hdl.handle.net/10889/10915

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