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Version 0.9.23-0 of sbv is deprecated.
The latest version of sbv is 10.12-0.

sbv

Version 0.9.23 revision 0 uploaded by LeventErkok.

Package meta

Synopsis
Symbolic bit vectors: Bit-precise verification and automatic C-code generation.
Description

Express properties about bit-precise Haskell programs and automatically prove them using SMT solvers. Automatically generate C programs from Haskell functions. The SBV library adds support for symbolic bit vectors, allowing formal models of bit-precise programs to be created.

  $ ghci -XScopedTypeVariables
  Prelude> :m Data.SBV
  Prelude Data.SBV> prove $ \(x::SWord8) -> x `shiftL` 2 .== 4*x
  Q.E.D.
  Prelude Data.SBV> prove $ forAll ["x"] $ \(x::SWord8) -> x `shiftL` 2 .== x
  Falsifiable. Counter-example:
    x = 128 :: SWord8

The library introduces the following types and concepts:

  • SBool: Symbolic Booleans (bits)

  • SWord8, SWord16, SWord32, SWord64: Symbolic Words (unsigned)

  • SInt8, SInt16, SInt32, SInt64: Symbolic Ints (signed)

  • SInteger: Symbolic unbounded integers (signed)

  • SArray, SFunArray: Flat arrays of symbolic values

  • STree: Full binary trees of symbolic values (for fast symbolic access)

  • Symbolic polynomials over GF(2^n), and polynomial arithmetic

  • Uninterpreted constants and functions over symbolic values, with user defined SMT-Lib axioms

Functions built out of these types can be:

  • proven correct via an external SMT solver (the prove function)

  • checked for satisfiability (the sat, and allSat functions)

  • used in synthesis (the sat function with existential variables)

  • optimized with respect to cost functions (the optimize, maximize, and minimize functions)

  • quick-checked

Predicates can have both existential and universal variables. Use of alternating quantifiers provides considerable expressive power. Furthermore, existential variables allow synthesis via model generation.

The SBV library can also compile Haskell functions that manipulate symbolic values directly to C, rendering them as straight-line C programs.

In addition to the library, the installation will create the executable SBVUnitTests. You should run it once the installation is complete, to make sure the unit tests are run and all is well.

SBV is hosted at GitHub: http://github.com/LeventErkok/sbv. Comments, bug reports, and patches are always welcome.

The following people reported bugs, provided comments/feedback, or contributed to the development of SBV in various ways: Ian Blumenfeld, Ian Calvert, Iavor Diatchki, Tom Hawkins, Lee Pike, Austin Seipp, Don Stewart, Josef Svenningsson, and Nis Wegmann.

Author
Levent Erkok
Bug reports
http://github.com/LeventErkok/sbv/issues
Category
Formal Methods, Theorem Provers, Bit vectors, Symbolic Computation, Math
Copyright
Levent Erkok, 2010-2011
Homepage
http://github.com/LeventErkok/sbv
Maintainer
Levent Erkok (erkokl@gmail.com)
Package URL
n/a
Stability
Experimental

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