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Single axioms for groups and Abelian groups with various operations

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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1007/3-540-18088-5_6openalex-snapshot
On word problems in equational theories
inferredcites →https://doi.org/10.1007/978-3-642-81955-1_23openalex-snapshot
Simple Word Problems in Universal Algebras
inferredcites →https://doi.org/10.1007/bf00244946openalex-snapshot
Proving equivalence of different axiomatizations of free groups
inferredcites →https://doi.org/10.1007/bf00245293openalex-snapshot
Single axioms for groups
inferredcites →https://doi.org/10.1007/bf00247824openalex-snapshot
Automated discovery of new axiomatizations of the left group and right group calculi
inferredcites →https://doi.org/10.1016/b978-0-08-012975-4.50028-xopenalex-snapshot
Simple Word Problems in Universal Algebras††The work reported in this paper was supported in part by the U.S. Office of Naval Research.
inferredcites →https://doi.org/10.1016/s0049-237x(08)70531-7openalex-snapshot
Equational Logic and Equational Theories of Algebras
inferredcites →https://doi.org/10.1017/s0004972700006912openalex-snapshot
Another single law for groups
inferredcites →https://doi.org/10.1215/ijm/1256044638openalex-snapshot
Yet another single law for groups
inferredcites →https://doi.org/10.1305/ndjfl/1093634569openalex-snapshot
Single axioms for the left group and right group calculi.
inferredcites →https://doi.org/10.4064/fm-30-1-253-256openalex-snapshot
Ein Beitrag zur Axiomatik der Abelschen Gruppen
inferredcites →https://doi.org/10.5486/pmd.1952.2.3-4.10openalex-snapshot
Groups as groupoids with one law

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

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On the notion of interestingness in automated mathematical discovery
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Automatic Construction and Verification of Isotopy Invariants
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Making Conjectures about Maple Functions
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Benchmark problems in which equality plays the major role
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The TPTP problem library
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Problems on the generation of finite models
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Constraint propagation in model generation
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Applying SAT Solving in Classification of Finite Algebras
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Automatic Generation of Classification Theorems for Finite Algebras
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The Flowering of Automated Reasoning
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Computational Discovery in Pure Mathematics
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Single axioms for groups
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Single axioms for odd exponent groups
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OTTER experiments in a system of combinatory logic
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The problem of automated theorem finding
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Automatic construction of finite algebras
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Application of automated deduction to the search for single axioms for exponent groups
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A method for finding new sets of axioms for classes of semigroups
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Basis reduction for cryptogroups and orthogroups
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Applying SAT Solving in Classification of Finite Algebras
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Automatic Construction and Verification of Isotopy Invariants
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The TPTP Problem Library and Associated Infrastructure
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The shortest single axioms for groups of exponent 4
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Single identities for ternary Boolean algebras
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Automated reasoning about cubic curves
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The resonance strategy
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Automated conjecture making in number theory using HR, Otter and Maple
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The TPTP Problem Library
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Otter - The CADE-13 Competition Incarnations
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Computer and Human Reasoning: Single Implicative Axioms for Groups and for Abelian Groups
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Computer Solutions of Problems in Inverse Semigroups
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Optimisation of combined cooling, heating and power (CCHP) systems incorporating the solar and geothermal energy: a review study
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Synthesizing axiomatizations using logic learning
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Automated Deduction: Looking Ahead
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OTTER 3.0 reference manual and guide
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Omega-ants: A blackboard architecture for the integration of reasoning techniques into proof planning
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Unusual elementary axiomatizations for abelian groups
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The algebra and machine representation of statistical models
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ZX-Calculus and Extended Wolfram Model Systems II: Fast Diagrammatic Reasoning with an Application to Quantum Circuit Simplification
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Théories symétriques monoïdales closes, applications au lambda-calcul et aux bigraphes
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