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  2. HOL (proof assistant) - Wikipedia

    en.wikipedia.org/wiki/HOL_(proof_assistant)

    HOL (Higher Order Logic) denotes a family of interactive theorem proving systems using similar (higher-order) logics and implementation strategies. Systems in this family follow the LCF approach as they are implemented as a library which defines an abstract data type of proven theorems such that new objects of this type can only be created using the functions in the library which correspond to ...

  3. Isabelle (proof assistant) - Wikipedia

    en.wikipedia.org/wiki/Isabelle_(proof_assistant)

    The Isabelle [a] automated theorem prover is a higher-order logic (HOL) theorem prover, written in Standard ML and Scala.As a Logic for Computable Functions (LCF) style theorem prover, it is based on a small logical core (kernel) to increase the trustworthiness of proofs without requiring, yet supporting, explicit proof objects.

  4. Higher-order logic - Wikipedia

    en.wikipedia.org/wiki/Higher-order_logic

    In mathematics and logic, a higher-order logic (abbreviated HOL) is a form of logic that is distinguished from first-order logic by additional quantifiers and, sometimes, stronger semantics. Higher-order logics with their standard semantics are more expressive, but their model-theoretic properties are less well-behaved than those of first-order ...

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  6. HOL Light - Wikipedia

    en.wikipedia.org/wiki/HOL_Light

    HOL Light is a proof assistant for classical higher-order logic. It is a member of the HOL theorem prover family. Compared with other HOL systems, HOL Light is intended to have relatively simple foundations. HOL Light is authored and maintained by the mathematician and computer scientist John Harrison.

  7. Higher order grammar - Wikipedia

    en.wikipedia.org/wiki/Higher_order_grammar

    The term calculus is embedded in a classical higher-order logic (HOL). The syntax-phonology and syntax-semantics interfaces are expressed as axiomatic theories in the HOL. The HOL admits (separation-style) subtyping, e.g. NPacc, the type of accusative noun phrases, is a subtype of NP, and denotes a subset of the category denoted by NP. References

  8. Hol (role-playing game) - Wikipedia

    en.wikipedia.org/wiki/Hol_(role-playing_game)

    HoL (Human Occupied Landfill, sometimes written as "HōL") is a role-playing game created by Dirt Merchant Games and produced by Black Dog Game Factory, a subsidiary of White Wolf which produced adult oriented RPGs. The HoL Core Rulebook was published in 1994, [1] and was followed up by one other supplement Buttery Wholesomeness in 1995. [2]

  9. Enochian magic - Wikipedia

    en.wikipedia.org/wiki/Enochian_magic

    The core of this magical system is the Great Table, which consists of four Elemental Tablets, symbolizing the classical elements of earth, air, fire, and water. These tablets are inhabited by various spiritual beings and entities. [23] Within the Great Table, there is a structured hierarchy of spiritual entities.

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