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<meta http-equiv="Content-Type" content="text/html; charset=iso-8859-1">
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<title>HOL/README</title>
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<h2>HOL: Higher-Order Logic</h2>
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These are the main sources of the Isabelle system for Higher-Order Logic.
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<p>
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There are also several example sessions:
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<dl>
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<dt>Algebra
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<dd>rings and univariate polynomials
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<dt>Auth
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<dd>a new approach to verifying authentication protocols
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<dt>AxClasses
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<dd>a few basic examples of using axiomatic type classes
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<dt>Complex
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<dd>a development of the complex numbers, the reals, and the hyper-reals,
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which are used in non-standard analysis (builds the image HOL-Complex)
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<dt>Hoare
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<dd>verification of imperative programs (verification conditions are
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generated automatically from pre/post conditions and loop invariants)
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<dt>HoareParallel
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<dd>verification of shared-variable imperative programs a la Owicki-Gries.
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(verification conditions are generated automatically)
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<dt>Hyperreal
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<dd>Nonstandard analysis. Builds on Real and is part of Complex.
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<dt>IMP
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<dd>mechanization of a large part of a semantics text by Glynn Winskel
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<dt>IMPP
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<dd>extension of IMP with local variables and mutually recursive
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procedures
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<dt>Import
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<dd>theories imported from other (HOL) theorem provers.
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<dt>Induct
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<dd>examples of (co)inductive definitions
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<dt>IOA
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<dd>a simple theory of Input/Output Automata
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<dt>Isar_examples
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<dd>several introductory examples using Isabelle/Isar
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<dt>Lambda
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<dd>fundamental properties of lambda-calculus (Church-Rosser and termination)
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<dt>Lattice
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<dd>lattices and order structures (in Isabelle/Isar)
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<dt>Library
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<dd>A collection of generic theories
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<dt>Matrix
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<dd>two-dimensional matrices
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<dt>MicroJava
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<dd>formalization of a fragment of Java, together with a corresponding
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virtual machine and a specification of its bytecode verifier and a
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lightweight bytecode verifier, including proofs of type-safety
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<dt>Modelcheck
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<dd>basic setup for integration of some model checkers in Isabelle/HOL
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<dt>NanoJava
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<dd>Haore Logic for a tiny fragment of Java
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<dt>NumberTheory
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<dd>fundamental Theorem of Arithmetic, Chinese Remainder Theorem,
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Fermat/Euler Theorem, Wilson's Theorem, Quadratic Reciprocity
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<dt>Prolog
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<dd>a (bare-bones) implementation of Lambda-Prolog
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<dt>Real
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<dd>the real numbers, part of Complex
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<dt>Real/HahnBanach
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<dd>the Hahn-Banach theorem for real vector spaces (in Isabelle/Isar)
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<dt>SET-Protocol
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<dd>verification of the SET Protocol
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<dt>Subst
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<dd>a theory of substitution and unification.
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<dt>TLA
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<dd>Lamport's Temporal Logic of Actions (with separate example sessions)
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<dt>UNITY
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<dd>Chandy and Misra's UNITY formalism
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<dt>W0
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<dd>a precursor of MiniML, without let-expressions
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<dt>ex
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<dd>miscellaneous examples
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</dl>
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