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Welcome to the Solver for Presburger Arithmetics! Please enter your equation above.

Welcome to the Macro Manager! Here you ca add macros that you want to use in your formulae.

Welcome to the Solver for Presburger Arithmetics! Just Click '+' to add a equation.

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Grammar for formulae

Each formula has to be in a certain format to be recognized by the parser.
The simplified grammar for formulae looks as follows:

Formula =
Predicate (e.g. x+y <= 13)
| (Formula) (e.g. (x+y <= 13) )
| Formula (&& Formula)* (e.g. x<=10 && y<=10)
| Formula (|| Formula)* (e.g. x<=10 || y<=10)
| Formula -> Formula (e.g. x==10 -> y<=10)
| E(var)*:Formula (e.g. Ex:x+y==5)
| A(var)*:Formula (e.g. Ax:x>=0)
| &&([var=a..b])* This is a and-forall-Formula. var will be replaces by each value in the range between a and b.(e.g. &&[i=1..4] x[i]<=i or &&[i=1..2][j=1..2] x[i] == y[j] )
| ||([var=a..b])* The same as the and-forall-Formula, but with or instead of and (e.g. ||[i=1..4] x[i]<=i)

A variable consists of one lower-case letter. You can also define arrays, e.g. x[1].


x <=10 && y<=10



To define a Macro please go to the Macro-Tab. A Macro definition has to be of the following form:

[A-Z] [a-z]* (var(,var)*) := Formula
The first letter has to be a upper-case letter, followed be an arbitrary number of lower-case letters.


Test(x) := x==15