4ti2-walk - Online in the Cloud

PROGRAM:

NAME

4ti2 - software package for algebraic, geometric and combinatorial problems on linear
spaces

SYNOPSIS

4ti2-circuits
4ti2-genmodel [--quiet] foo.mod
4ti2-gensymm [--quiet] a b c d foo
4ti2-graver [--quiet] foo[|.mat|.lat]
4ti2-groebner [--quiet|-q] [--force|-f] [--saturation|-s] [--project-and-lift|-p]
[--normal|-n] [--weighted|-w] [--gebauer-moeller|-g] [--auto-reduce-freq=N|-aN] foo
4ti2-hilbert [--quiet] foo
4ti2-markov [--quiet|-q] foo
4ti2-minimize [--quiet|-q] foo
4ti2-normalform
4ti2-output [--quiet] [--binomials] [--maple] [--0-1] [--transpose] [--degree [N]]
[--positive] [--3way a b c] foo
4ti2-ppi
4ti2-qsolve
4ti2-rays
4ti2-walk
4ti2-zbasis
4ti2-zsolve

DESCRIPTION

The software package 4ti2 is a suite of command-line tools for addressing algebraic,
geometric and combinatorial problems on linear spaces.

DATA STRUCTURE

The main concept of 4ti2 remains the same: a project is defined via a file foo[.mat]
containing the problem matrix. Related sets such as Graver basis or Markov basis are put
into foo.gra and foo.mar, respectively.

Input files and output files usually contain a matrix or a list of vectors (written as a
matrix) in a standard encoding such as
2 4
1 1 1 1
1 2 3 4

There are only few exceptions, for example in a file foo.vars containing user specified
variable names:
3
a b x

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