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This volume contains the description of the HOL system. It is one of three volumes making up the documentation for HOL: (i) TUTORIAL: a tutorial introduction to HOL, with case studies. (ii) DESCRIPTION: a description of higher order logic, the ML programming language, and theorem proving methods in the HOL system; (iii) REFERENCE: the reference manual for HOL. These three documents will be referred to by the short names (in small slanted capitals) given above. This document, DESCRIPTION, is intended to serve both as a definition of HOL and as an advanced guide for users with some prior experience of the system. Beginners should start with the companion document TUTORIAL. The HOL system is designed to support interactive theorem proving in higher order logic (hence the acronym ‘HOL’). To this end, the formal logic is interfaced to a general purpose programming language (ML, for meta-language) in which terms and theorems of the logic can be denoted, proof strategies expressed and applied, and logical theories

This volume contains the description of the HOL system. It is one of three volumes making up the documentation for HOL: (i) TUTORIAL: a tutorial introduction to HOL, withcasestudies. (ii) DESCRIPTION: a description of higher order logic, the ML programming language, and theorem proving methods in the HOL system; (iii) REFERENCE: the reference manual for HOL. These three documents will be referred to by the short names (in small slanted capitals) given above. This document, DESCRIPTION, is intended to serve both as a definition of HOL and as an advanced guide for users with some prior experience of the system. Beginners should start with the companion document TUTORIAL. The HOL system is designed to support interactive theorem proving in higher order logic (hence the acronym ‘HOL’). To this end, the formal logic is interfaced to a general purpose programming language (ML, for meta-language) in which terms and theorems of the logic can be denoted, proof strategies expressed and applied, and logical theories