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Proving geometry theorems with rewrite rules
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What this work says
Outgoing claims: the papers this work cites, builds on, or argues with.
inferredcites →https://doi.org/10.1007/978-94-009-5225-6_6openalex-snapshot
Gröbner Bases: An Algorithmic Method in Polynomial Ideal Theory
inferredcites →https://doi.org/10.1007/bf01817776openalex-snapshot
Ein algorithmisches Kriterium für die Lösbarkeit eines algebraischen Gleichungssystems
inferredcites →https://doi.org/10.1007/bf01844169openalex-snapshot
Ein algorithmisches Kriterium für die Lösbarkeit eines algebraischen Gleichungssystems
inferredcites →https://doi.org/10.1016/0001-8708(87)90034-xopenalex-snapshot
Graded algebras of global dimension 3
inferredcites →https://doi.org/10.1090/conm/029/14openalex-snapshot
Proving Elementary Geometry Theorems Using Wu’s Algorithm
What points at this work
Incoming claims: where this work appears in other papers’ reference lists and arguments.
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Algorithmic Properties of Polynomial Rings
inferred← citeshttps://doi.org/10.1007/3-540-16780-3_134openalex-snapshot
GEO-prover — A geometry theorem prover developed at UT
inferred← citeshttps://doi.org/10.1007/3-540-16780-3_141openalex-snapshot
A geometry theorem prover based on Buchberger's algorithm
inferred← citeshttps://doi.org/10.1007/3-540-50335-8_38openalex-snapshot
Automatizing geometric proofs and constructions
inferred← citeshttps://doi.org/10.1007/3-540-51082-6_74openalex-snapshot
A procedure to prove geometrical statements
inferred← citeshttps://doi.org/10.1007/3-540-51084-2_34openalex-snapshot
A geometrical decision algorithm based on the gröbner bases algorithm
inferred← citeshttps://doi.org/10.1007/3-540-51517-8_123openalex-snapshot
Implementation of a geometry theorem proving package in SCRATCHPAD II
inferred← citeshttps://doi.org/10.1007/3-540-52885-7_89openalex-snapshot
Ritt-Wu's decomposition algorithm and geometry theorem proving
inferred← citeshttps://doi.org/10.1007/3-540-55602-8_153openalex-snapshot
Proving geometry statements of constructive type
inferred← citeshttps://doi.org/10.1007/3-540-61732-9_60openalex-snapshot
Geometry machines: From AI to SMC
inferred← citeshttps://doi.org/10.1007/978-1-4612-4088-4_5openalex-snapshot
A Survey of Geometric Reasoning Using Algebraic Methods
inferred← citeshttps://doi.org/10.1007/978-3-030-26831-2_13openalex-snapshot
Parametric Standard Bases and Their Applications
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Meta-heuristics, Machine Learning, and Deep Learning Methods
inferred← citeshttps://doi.org/10.1007/bf00243793openalex-snapshot
A method for the mechanical derivation of formulas in elementary geometry
inferred← citeshttps://doi.org/10.1007/bf00249355openalex-snapshot
The problem of finding a restriction strategy more effective than the set of support strategy
inferred← citeshttps://doi.org/10.1007/bf00881834openalex-snapshot
Automated reasoning in differential geometry and mechanics using the characteristic set method
inferred← citeshttps://doi.org/10.1007/bf01531324openalex-snapshot
A generalized Euclidean algorithm for geometry theorem proving
inferred← citeshttps://doi.org/10.1007/bf01531326openalex-snapshot
Automated production of traditional proofs for theorems in Euclidean geometry I. The Hilbert intersection point theorems
inferred← citeshttps://doi.org/10.1007/bf01553889openalex-snapshot
On the algebraic formulation of certain geometry statements and mechanical geometry theorem proving
inferred← citeshttps://doi.org/10.1007/bf02943140openalex-snapshot
Mechanical geometry theorem proving based on groebner bases
inferred← citeshttps://doi.org/10.1007/bfb0022716openalex-snapshot
Automated geometric reasoning: Dixon resultants, Gröbner bases, and characteristic sets
inferred← citeshttps://doi.org/10.1007/bfb0054242openalex-snapshot
Proving geometric theorems using clifford algebra and rewrite rules
inferred← citeshttps://doi.org/10.1007/s10817-009-9162-5openalex-snapshot
Visually Dynamic Presentation of Proofs in Plane Geometry
inferred← citeshttps://doi.org/10.1007/s10817-009-9163-4openalex-snapshot
Visually Dynamic Presentation of Proofs in Plane Geometry
inferred← citeshttps://doi.org/10.1007/s10817-016-9395-zopenalex-snapshot
Automated Reducible Geometric Theorem Proving and Discovery by Gröbner Basis Method
inferred← citeshttps://doi.org/10.1007/s10817-023-09688-wopenalex-snapshot
Self-evident Automated Geometric Theorem Proving Based on Complex Number Identity
inferred← citeshttps://doi.org/10.1016/0004-3702(88)90047-1openalex-snapshot
Geometric reasoning and artificial intelligence: Introduction to the special volume
inferred← citeshttps://doi.org/10.1016/0004-3702(88)90048-3openalex-snapshot
Wu's method and its application to perspective viewing
inferred← citeshttps://doi.org/10.1016/0004-3702(88)90050-1openalex-snapshot
A refutational approach to geometry theorem proving
inferred← citeshttps://doi.org/10.1016/0004-3702(88)90051-3openalex-snapshot
Geometry theorem proving by decomposition of quasi-algebraic sets: An application of the ritt-wu principle
inferred← citeshttps://doi.org/10.1016/0004-3702(94)00064-8openalex-snapshot
Geometric theorem proving by integrated logical and algebraic reasoning
inferred← citeshttps://doi.org/10.1016/0010-4485(94)00013-4openalex-snapshot
Geometric constraint solver
inferred← citeshttps://doi.org/10.1016/b978-0-12-046370-1.50008-5openalex-snapshot
Characteristic Sets and Gröbner Bases in Geometry Theorem Proving
inferred← citeshttps://doi.org/10.1016/b978-0-12-046370-1.50010-3openalex-snapshot
The Idea of a Diagram
inferred← citeshttps://doi.org/10.1016/b978-0-934613-67-5.50017-4openalex-snapshot
A Survey of Automated Deduction11This is an enlarged version of a survey talk given by Woody Bledsoe at the Sixth National Conference on Artificial Intelligence, Seattle, Washington, July 16, 1987.
inferred← citeshttps://doi.org/10.1016/b978-044450813-3/50013-8openalex-snapshot
Automated Reasoning in Geometry
inferred← citeshttps://doi.org/10.1016/j.comgeo.2013.07.001openalex-snapshot
Automatic deduction in (dynamic) geometry: Loci computation
inferred← citeshttps://doi.org/10.1016/s0166-218x(03)00196-3openalex-snapshot
Limits of theory sequences over algebraically closed fields and applications
inferred← citeshttps://doi.org/10.1016/s0747-7171(86)80006-2openalex-snapshot
On the application of Buchberger's algorithm to automated geometry theorem proving
inferred← citeshttps://doi.org/10.1017/s1446788700034327openalex-snapshot
Conjugate polynomials over quadratic algebras
inferred← citeshttps://doi.org/10.1109/aici.2010.289openalex-snapshot
A Method for Deciding the Containing Relation between Two Clauses
inferred← citeshttps://doi.org/10.1109/lics.1993.287601openalex-snapshot
Automated production of traditional proofs for constructive geometry theorems
inferred← citeshttps://doi.org/10.1109/pic.2010.5687899openalex-snapshot
Automatic generation of geometric base sequences
inferred← citeshttps://doi.org/10.1142/2196#t=tocopenalex-snapshot
Machine Proofs in Geometry: Automated Production of Readable Proofs for Geometry Theorems
inferred← citeshttps://doi.org/10.1145/164081.164142openalex-snapshot
Automated geometry theorem proving by vector calculation
inferred← citeshttps://doi.org/10.1145/32439.32479openalex-snapshot
Geometry theorem proving using Hilbert's Nullstellensatz
inferred← citeshttps://doi.org/10.1145/32439.32480openalex-snapshot
Automated geometry theorem proving using Buchberger's algorithm
inferred← citeshttps://doi.org/10.1145/96877.96942openalex-snapshot
Automated reasoning in geometries using the characteristic set method and Gröbner basis method
inferred← citeshttps://doi.org/10.1145/96877.96949openalex-snapshot
Refutational proofs of geometry theorems via characteristic set computation
inferred← citeshttps://doi.org/10.1146/annurev.cs.03.060188.000505openalex-snapshot
Algebraic Methods for Geometric Reasoning
inferred← citeshttps://doi.org/10.54870/1551-3440.1034openalex-snapshot
Automated Geometric Theorem Proving: Wu's Method
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