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TacticToe: Learning to Reason with HOL4 Tactics

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21730%2F17%3A00319002" target="_blank" >RIV/68407700:21730/17:00319002 - isvavai.cz</a>

  • Result on the web

    <a href="https://easychair.org/publications/paper/WsM" target="_blank" >https://easychair.org/publications/paper/WsM</a>

  • DOI - Digital Object Identifier

Alternative languages

  • Result language

    angličtina

  • Original language name

    TacticToe: Learning to Reason with HOL4 Tactics

  • Original language description

    Techniques combining machine learning with translation to automated reasoning have recently become an important component of formal proof assistants. Such “hammer” techniques complement traditional proof assistant automation as implemented by tactics and decision procedures. In this paper we present a unified proof assistant automation approach which attempts to automate the selection of appropriate tactics and tactic-sequences combined with an optimized small-scale hammering approach. We implement the technique as a tactic-level automation for HOL4: TacticToe. It implements a modified A*-algorithm directly in HOL4 that explores different tactic-level proof paths, guiding their selection by learning from a large number of previous tactic-level proofs. Unlike the existing hammer methods, TacticToe avoids translation to FOL, working directly on the HOL level. By combining tactic prediction and premise selection, TacticToe is able to re-prove 39% of 7902 HOL4 theorems in 5 seconds whereas the best single HOL(y)Hammer strategy solves 32% in the same amount of time.

  • Czech name

  • Czech description

Classification

  • Type

    D - Article in proceedings

  • CEP classification

  • OECD FORD branch

    10201 - Computer sciences, information science, bioinformathics (hardware development to be 2.2, social aspect to be 5.8)

Result continuities

  • Project

  • Continuities

    R - Projekt Ramcoveho programu EK

Others

  • Publication year

    2017

  • Confidentiality

    S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Data specific for result type

  • Article name in the collection

    21st International Conference on Logic for Programming, Artificial Intelligence and Reasoning

  • ISBN

  • ISSN

    2398-7340

  • e-ISSN

  • Number of pages

    19

  • Pages from-to

    125-143

  • Publisher name

    EasyChair Publications

  • Place of publication

    Manchester

  • Event location

    Maun

  • Event date

    May 7, 2017

  • Type of event by nationality

    WRD - Celosvětová akce

  • UT code for WoS article