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Beagle as a HOL4 external ATP method

by Thibault Gauthier, Cezary Kaliszyk, Chantal Keller, Michael Norrish - Proc. of the 4th Workshop on Practical Aspects of Automated Reasoning (PAAR’14), EPiC , 2014
"... This paper presents BEAGLE TAC, a HOL4 tactic for using Beagle as an external ATP for discharging HOL4 goals. We implement a translation of the higher-order goals to the TFA format of TPTP and add trace output to Beagle to reconstruct the intermediate steps derived by the ATP in HOL4. Our translatio ..."
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This paper presents BEAGLE TAC, a HOL4 tactic for using Beagle as an external ATP for discharging HOL4 goals. We implement a translation of the higher-order goals to the TFA format of TPTP and add trace output to Beagle to reconstruct the intermediate steps derived by the ATP in HOL4. Our

To cite this version:

by Thibault Gauthier, Cezary Kaliszyk, Chantal Keller, Michael Norrish, Thibault Gauthier, Cezary Kaliszyk, Chantal Keller, Michael Norrish, Beagle Hol, Hal Id Hal, Thibault Gauthier, Cezary Kaliszyk, Chantal Keller, Michael Norrish , 2014
"... HAL is a multi-disciplinary open access archive for the deposit and dissemination of sci-entific research documents, whether they are pub-lished or not. The documents may come from teaching and research institutions in France or abroad, or from public or private research centers. L’archive ouverte p ..."
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pluridisciplinaire HAL, est destinée au dépôt et a ̀ la diffusion de documents scientifiques de niveau recherche, publiés ou non, émanant des établissements d’enseignement et de recherche français ou étrangers, des laboratoires publics ou privés. Beagle as a HOL4 external ATP method

Premise selection and external provers for HOL4

by Thibault Gauthier, Cezary Kaliszyk - In Certified Programs and Proofs (CPP’15), Lecture Notes in Computer Science , 2015
"... Learning-assisted automated reasoning has recently gained popularity among the users of Isabelle/HOL, HOL Light, and Mizar. In this paper, we present an add-on to the HOL4 proof assistant and an adaptation of the HOL(y)Hammer system that provides machine learning-based premise selection and automate ..."
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and automated reasoning also for HOL4. We efficiently record the HOL4 dependencies and extract features from the the-orem statements, which form a basis for premise selection. HOL(y)Hammer transforms the HOL4 statements in the var-ious TPTP-ATP proof formats, which are then processed by the ATPs. We discuss

Sharing HOL4 and HOL Light proof knowledge

by Thibault Gauthier, Cezary Kaliszyk
"... Abstract. New proof assistant developments often involve concepts sim-ilar to already formalized ones. When proving their properties, a human can often take inspiration from the existing formalized proofs available in other provers or libraries. In this paper we propose and evaluate a num-ber of met ..."
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of the association between proved theorems and their characteristics to predict the relevant premises. Such external help can be further combined with internal advice. We evaluate the proposed knowledge-sharing methods by reproving the HOL Light and HOL4 stan-dard libraries. The learning-reasoning system HOL

HOL(y)Hammer: Online ATP service for HOL Light

by Cezary Kaliszyk, Josef Urban - CoRR
"... Abstract. HOL(y)Hammer is an online AI/ATP service for formal (computer-understandable) mathematics encoded in the HOL Light system. The service allows its users to upload and auto-matically process an arbitrary formal development (project) based on HOL Light, and to attack arbitrary conjectures tha ..."
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the recent versions of the Flyspeck, Multivariate Analysis and Complex Analysis libraries. The service runs on a 48-CPU server, currently employing in parallel for each task 7 AI/ATP combinations and 4 decision procedures that contribute to its overall performance. The system is also available for local

10.1177/1087057105285112Hara, MoriQuantitative Determination of Cellular ATP Synthetic Activity An Efficient Method for Quantitative Determination of Cellular ATP Synthetic Activity

by Kiyotaka Y. Hara, Hideo Mori
"... The authors have developed an efficient method to measure cellular activity of ATP synthesis. Although ATP is a major en-ergy source of biological reactions, it has been difficult to measure cellular ATP synthetic activity quantitatively. In this report, bioluminescence from the luciferin-luciferase ..."
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The authors have developed an efficient method to measure cellular activity of ATP synthesis. Although ATP is a major en-ergy source of biological reactions, it has been difficult to measure cellular ATP synthetic activity quantitatively. In this report, bioluminescence from the luciferin

Robust, Semi-Intelligible Isabelle Proofs from ATP Proofs

by Steffen Juilf Smolka, Jasmin Christian Blanchette
"... Sledgehammer integrates external automatic theorem provers (ATPs) in the Isabelle/HOL proof assistant. To guard against bugs, ATP proofs must be reconstructed in Isabelle. Reconstructing complex proofs involves translating them to detailed Isabelle proof texts, using suitable proof methods to justif ..."
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Sledgehammer integrates external automatic theorem provers (ATPs) in the Isabelle/HOL proof assistant. To guard against bugs, ATP proofs must be reconstructed in Isabelle. Reconstructing complex proofs involves translating them to detailed Isabelle proof texts, using suitable proof methods

Stronger Automation for Flyspeck by Feature Weighting and Strategy Evolution

by Cezary Kaliszyk, Josef Urban
"... Two complementary AI methods are used to improve the strength of the AI/ATP service for proving conjectures over the HOL Light and Flyspeck corpora. First, several schemes for frequency-based feature weighting are explored in combination with distanceweighted k-nearest-neighbor classifier. This resu ..."
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Two complementary AI methods are used to improve the strength of the AI/ATP service for proving conjectures over the HOL Light and Flyspeck corpora. First, several schemes for frequency-based feature weighting are explored in combination with distanceweighted k-nearest-neighbor classifier

Voltage dependence of the apparent affinity for external Na(�) of the backward-running sodium

by Paul De Weer, David C. Gadsby, R. F. Rakowski , 2001
"... abstract The steady-state voltage and [Na � ] o dependence of the electrogenic sodium pump was investigated in voltage-clamped internally dialyzed giant axons of the squid, Loligo pealei, under conditions that promote the backward-running mode (K �-free seawater; ATP- and Na �-free internal solution ..."
Abstract - Cited by 3 (0 self) - Add to MetaCart
abstract The steady-state voltage and [Na � ] o dependence of the electrogenic sodium pump was investigated in voltage-clamped internally dialyzed giant axons of the squid, Loligo pealei, under conditions that promote the backward-running mode (K �-free seawater; ATP- and Na �-free internal

Automated reasoning service for HOL Light

by Cezary Kaliszyk, Josef Urban - of Lecture Notes in Computer Science , 2013
"... Abstract. HOL(y)Hammer is an AI/ATP service for formal (computer-understandable) mathematics encoded in the HOL Light system, in par-ticular for the users of the large Flyspeck library. The service uses several automated reasoning systems combined with several premise selection methods trained on pr ..."
Abstract - Cited by 6 (4 self) - Add to MetaCart
Abstract. HOL(y)Hammer is an AI/ATP service for formal (computer-understandable) mathematics encoded in the HOL Light system, in par-ticular for the users of the large Flyspeck library. The service uses several automated reasoning systems combined with several premise selection methods trained
Results 1 - 10 of 59