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HOL Isabelle

Tobias NipkowLawrence C. PaulsonMarkus Wenzel = Isabelle HOLA Proof Assistant forHigher-Order LogicDecember 12, 2021 Springer-VerlagBerlin Heidelberg NewYorkLondon Paris TokyoHong Kong BarcelonaBudapestPrefaceThis volume is a self-contained introduction to interactive proof in higher-order logic (HOL), using the proof assistant Isabelle . It is written for potentialusers rather than for our colleagues in the research book has three parts. The first part,Elementary Techniques, shows how to model functionalprograms in higher-order logic. Early examples involve lists and the naturalnumbers. Most proofs are two steps long, consisting of induction on achosen variable followed by theautotactic. But even this elementary partcovers such advanced topics as nested and mutual recursion. The second part,Logic and Sets, presents a collection of lower-leveltactics that you can use to apply rules selectively.

Stefano Bistarelli, Gergely Buday, John Matthews and Tanja Vos. The research has been funded by many sources, including the dfg grants NI 491/2, NI 491/3, NI 491/4, NI 491/6, bmbf project Verisoft, the epsrc grants GR/K57381, GR/K77051, GR/M75440, GR/R01156/01 GR/S57198/01 and by the esprit working groups 21900 and IST-1999-29001 (the Types ...

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