*To*: Brian Huffman <brianh at cs.pdx.edu>*Subject*: Re: [isabelle] Vector of bools*From*: Steve W <s.wong.731 at gmail.com>*Date*: Tue, 29 Mar 2011 15:37:25 +0100*Cc*: isabelle-users <isabelle-users at cl.cam.ac.uk>*In-reply-to*: <AANLkTik6ZD=giEw1Q_b00AAy17RcY8u+YG_BS7iGCbYg@mail.gmail.com>*References*: <AANLkTi=CxrGvO=fw6f+O63UHjqZuPAFLycgnbNPAEvQ2@mail.gmail.com> <AANLkTik6ZD=giEw1Q_b00AAy17RcY8u+YG_BS7iGCbYg@mail.gmail.com>

I see. So if I want to try, say, "real ^ 'n", which libraries do I need to import? I've tried "HOL/Multivariate_Analysis/Cartesian_Euclidean_Space", but it takes a very long time to load the import. Thanks Steve On Fri, Mar 25, 2011 at 9:30 PM, Brian Huffman <brianh at cs.pdx.edu> wrote: > On Fri, Mar 25, 2011 at 10:46 AM, Steve W <s.wong.731 at gmail.com> wrote: > > I see that one can use real_vector to construct a vector of reals, > > First of all, remember that real_vector is a *type class*, not a *type > constructor*. The real_vector class merely classifies types that > support scalar multiplication by real numbers. > > To actually "construct a vector of reals", you will need to use some > specific type constructor that is an *instance* of the real_vector > class. For example, tuples like "real * real" or finite cartesian > products like "real ^ 'n". > > > but is > > there a way to construct a vector of boolean values, e.g., > > <true,false,false...>? > > That depends. What kinds of operations on vectors of booleans do you > require? > > You could use the finite cartesian product "bool ^ 'n" from > Multivariate_Analysis, but that library doesn't provide many > operations that work with element types besides "real", "complex", > etc. > > Another possibility is to use "bool list". The library provides lots > of list operations, but unlike type "bool ^ 'n", lists are not > guaranteed to all have the same length. > > A third possibility, if you want vectors of a small constant size, is > to use ordinary tuples like "bool * bool * bool". > > I might be able to help more if you tell me more about what you are > trying to do. > > - Brian >

**Follow-Ups**:**Re: [isabelle] Vector of bools***From:*Johannes Hölzl

**References**:**[isabelle] Vector of bools***From:*Steve W

**Re: [isabelle] Vector of bools***From:*Brian Huffman

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