HOL(y)Hammer combines learned premise selection with ATPs for HOL Light

Users could upload HOL Light developments and ask the service to attack new conjectures using learned relevance models, parallel ATP combinations and decision procedures.

What happened?

Kaliszyk and Urban released HOL(y)Hammer as an online AI/ATP service on 19 September 2013, combining several premise-selection methods trained on project proofs with multiple automated theorem provers.

Why it matters

It provided an early mature example of machine learning embedded in a proof-assistant service over substantial formal mathematical libraries.

Significance rationale: HOL(y)Hammer deployed machine-learned premise selection and multiple automated reasoning systems as an online service for large HOL Light developments, bringing large-theory AI/ATP methods into routine formal mathematics workflows.

Historical context

Earlier developments

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Later developments

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Related milestones

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Primary evidence

Evidence & status at a glance

Significance
H2 · Field milestone
Verification
Paper released
Evidence level
E2 · Research record
AI role
Substantive AI support
Formal assurance
No formal assurance

How should these labels be read? →

Contribution & verification

Mathematical novelty
Tooling only
Interface
Formal, Symbolic
AI contribution
Learned models selected premises and automated provers searched for proofs, while users supplied target conjectures inside HOL Light projects.
Human contribution
Researchers engineered the service, learning methods, ATP portfolio, project processing and interfaces.
Verification
Paper released · E2 · Research record · No formal assurance
Last reviewed
2026-09-15

Technical details

Systems
holyhammer, hol-light
Organizations
university-of-innsbruck
Problems
higher-order-logic-theorem-proving
Methods
machine-learning, premise-selection, automated-theorem-proving, portfolio-reasoning

Sources & artifacts

Verification history

  • 2013-09-19 · Paper released · E2 · Research record

    The arXiv research record establishes the service architecture and reported HOL Light deployment.

Corrections

No corrections recorded.