II.
LibraryProcess overview
Reference · livelib-process:mathematics--conjecture-exploration
conjecture-exploration overview
Systematic exploration and testing of mathematical conjectures through computational experiments. Generates test cases, searches for counterexamples, and identifies patterns supporting or refuting conjectures.
Attributes
displayName
conjecture-exploration
description
Systematic exploration and testing of mathematical conjectures through computational experiments.
Generates test cases, searches for counterexamples, and identifies patterns supporting or refuting conjectures.
libraryPath
library/specializations/domains/science/mathematics/conjecture-exploration.js
specialization
mathematics
references
- - Experimental Mathematics: https://www.expmath.org/ - OEIS (Online Encyclopedia of Integer Sequences): https://oeis.org/ - Wolfram MathWorld: https://mathworld.wolfram.com/
example
const result = await orchestrate('specializations/domains/science/mathematics/conjecture-exploration', {
conjectureStatement: 'Every even number greater than 2 can be expressed as the sum of two primes',
parameterSpace: { min: 4, max: 10000, step: 2 },
testingStrategy: 'exhaustive',
maxIterations: 5000
});
usesAgents
- conjecture-analyst
- proof-strategist
Outgoing edges
lib_applies_to_domain1
- domain:mathematics·DomainMathematics
lib_belongs_to_specialization2
- specialization:computational-mathematics·SpecializationComputational Mathematics
- specialization:mathematics·SpecializationMathematics
lib_implements_workflow1
- workflow:experiment-design·WorkflowExperiment Design
lib_involves_role2
- role:research-engineer·RoleResearch Engineer
- role:computational-scientist·RoleComputational Scientist
lib_requires_skill_area3
- skill-area:statistical-analysis·SkillAreaStatistical Analysis
- skill-area:mathematical-reasoning·SkillAreaMathematical Reasoning
- skill-area:data-analysis·SkillAreaData Analysis
uses_agent2
- lib-agent:mathematics--conjecture-analyst·LibraryAgentconjecture-analyst
- lib-agent:mathematics--proof-strategist·LibraryAgentproof-strategist
Incoming edges
None.