Section 4.2 Truth Tables
The
truthtable()
function in Sage generates the truth table for a given logical expression.An alternative way to display the table with better separation and visuals would be to use
SymbolicLogic()
, statement()
, truthtable()
and the print_table()
functions.SymbolicLogic()
creates an instance for handling symbolic logic operations, while statement()
defines the given statement. The truthtable()
method generates a truth table for this statement, and print_table()
displays it.Expanding on the concept of truth tables, we can analyze logical expressions involving three variables. This provides a deeper understanding of the interplay between multiple conditions. The
truthtable()
function supports expressions with a number of variables that is practical for computational purposes, if the list of variables becomes too lengthy (such as extending beyond the width of a LaTeX page), the truth table’s columns may run off the screen. Additionally, the function’s performance may degrade with a very large number of variables, potentially increasing the computation time.