Exercise logic.propositional.dnf
Description
Proposition to DNF
Firsts
Rule | logic.propositional.truezeroand |
Location | [1] |
Term | "Nothing" |
Focus | "Nothing" |
Environment | |
p /\ ~~~~(p /\ ~q) /\ p /\ ((T /\ q /\ ~q /\ ~~(~~p /\ ~q) /\ T /\ ~F /\ T) || (~r /\ ~q /\ ~~(~~p /\ ~q) /\ T /\ ~F /\ T)) /\ (F || ~F) /\ ~q /\ ~~T
ready: no
Rule | logic.propositional.notnot |
Location | [1,0] |
Term | "Nothing" |
Focus | "Nothing" |
Environment | |
p /\ ~~(p /\ ~q) /\ T /\ p /\ ((T /\ q /\ ~q /\ ~~(~~p /\ ~q) /\ T /\ ~F /\ T) || (~r /\ ~q /\ ~~(~~p /\ ~q) /\ T /\ ~F /\ T)) /\ (F || ~F) /\ ~q /\ ~~T
ready: no
Rule | logic.propositional.notnot |
Location | [1,0,0] |
Term | "Nothing" |
Focus | "Nothing" |
Environment | |
p /\ ~~(p /\ ~q) /\ T /\ p /\ ((T /\ q /\ ~q /\ ~~(~~p /\ ~q) /\ T /\ ~F /\ T) || (~r /\ ~q /\ ~~(~~p /\ ~q) /\ T /\ ~F /\ T)) /\ (F || ~F) /\ ~q /\ ~~T
ready: no
Rule | logic.propositional.notnot |
Location | [1,0,0,0] |
Term | "Nothing" |
Focus | "Nothing" |
Environment | |
p /\ ~~(p /\ ~q) /\ T /\ p /\ ((T /\ q /\ ~q /\ ~~(~~p /\ ~q) /\ T /\ ~F /\ T) || (~r /\ ~q /\ ~~(~~p /\ ~q) /\ T /\ ~F /\ T)) /\ (F || ~F) /\ ~q /\ ~~T
ready: no
Rule | logic.propositional.truezeroand |
Location | [1,1] |
Term | "Nothing" |
Focus | "Nothing" |
Environment | |
p /\ ~~~~(p /\ ~q) /\ p /\ ((T /\ q /\ ~q /\ ~~(~~p /\ ~q) /\ T /\ ~F /\ T) || (~r /\ ~q /\ ~~(~~p /\ ~q) /\ T /\ ~F /\ T)) /\ (F || ~F) /\ ~q /\ ~~T
ready: no
Rule | logic.propositional.compland |
Location | [1,1,1,1,0,0] |
Term | "Nothing" |
Focus | "Nothing" |
Environment | |
p /\ ~~~~(p /\ ~q) /\ T /\ p /\ ((T /\ F /\ ~~(~~p /\ ~q) /\ T /\ ~F /\ T) || (~r /\ ~q /\ ~~(~~p /\ ~q) /\ T /\ ~F /\ T)) /\ (F || ~F) /\ ~q /\ ~~T
ready: no
Rule | logic.propositional.complor |
Location | [1,1,1,1,1,0] |
Term | "Nothing" |
Focus | "Nothing" |
Environment | |
p /\ ~~~~(p /\ ~q) /\ T /\ p /\ ((T /\ q /\ ~q /\ ~~(~~p /\ ~q) /\ T /\ ~F /\ T) || (~r /\ ~q /\ ~~(~~p /\ ~q) /\ T /\ ~F /\ T)) /\ T /\ ~q /\ ~~T
ready: no
Rule | logic.propositional.falsezeroor |
Location | [1,1,1,1,1,0] |
Term | "Nothing" |
Focus | "Nothing" |
Environment | |
p /\ ~~~~(p /\ ~q) /\ T /\ p /\ ((T /\ q /\ ~q /\ ~~(~~p /\ ~q) /\ T /\ ~F /\ T) || (~r /\ ~q /\ ~~(~~p /\ ~q) /\ T /\ ~F /\ T)) /\ ~F /\ ~q /\ ~~T
ready: no
Rule | logic.propositional.notfalse |
Location | [1,1,1,1,1,0,1] |
Term | "Nothing" |
Focus | "Nothing" |
Environment | |
p /\ ~~~~(p /\ ~q) /\ T /\ p /\ ((T /\ q /\ ~q /\ ~~(~~p /\ ~q) /\ T /\ ~F /\ T) || (~r /\ ~q /\ ~~(~~p /\ ~q) /\ T /\ ~F /\ T)) /\ (F || T) /\ ~q /\ ~~T
ready: no
Rule | logic.propositional.notnot |
Location | [1,1,1,1,1,1,1] |
Term | "Nothing" |
Focus | "Nothing" |
Environment | |
p /\ ~~~~(p /\ ~q) /\ T /\ p /\ ((T /\ q /\ ~q /\ ~~(~~p /\ ~q) /\ T /\ ~F /\ T) || (~r /\ ~q /\ ~~(~~p /\ ~q) /\ T /\ ~F /\ T)) /\ (F || ~F) /\ ~q /\ T
ready: no
Rule | logic.propositional.nottrue |
Location | [1,1,1,1,1,1,1,0] |
Term | "Nothing" |
Focus | "Nothing" |
Environment | |
p /\ ~~~~(p /\ ~q) /\ T /\ p /\ ((T /\ q /\ ~q /\ ~~(~~p /\ ~q) /\ T /\ ~F /\ T) || (~r /\ ~q /\ ~~(~~p /\ ~q) /\ T /\ ~F /\ T)) /\ (F || ~F) /\ ~q /\ ~F
ready: no
Rule | logic.propositional.truezeroand |
Location | [1,1,1,1,0,0] |
Term | "Nothing" |
Focus | "Nothing" |
Environment | |
p /\ ~~~~(p /\ ~q) /\ T /\ p /\ ((q /\ ~q /\ ~~(~~p /\ ~q) /\ T /\ ~F /\ T) || (~r /\ ~q /\ ~~(~~p /\ ~q) /\ T /\ ~F /\ T)) /\ (F || ~F) /\ ~q /\ ~~T
ready: no
Rule | logic.propositional.truezeroand |
Location | [1,1,1,1,0,0] |
Term | "Nothing" |
Focus | "Nothing" |
Environment | |
p /\ ~~~~(p /\ ~q) /\ T /\ p /\ ((T /\ q /\ ~q /\ ~~(~~p /\ ~q) /\ ~F /\ T) || (~r /\ ~q /\ ~~(~~p /\ ~q) /\ T /\ ~F /\ T)) /\ (F || ~F) /\ ~q /\ ~~T
ready: no
Rule | logic.propositional.truezeroand |
Location | [1,1,1,1,0,0] |
Term | "Nothing" |
Focus | "Nothing" |
Environment | |
p /\ ~~~~(p /\ ~q) /\ T /\ p /\ ((T /\ q /\ ~q /\ ~~(~~p /\ ~q) /\ T /\ ~F) || (~r /\ ~q /\ ~~(~~p /\ ~q) /\ T /\ ~F /\ T)) /\ (F || ~F) /\ ~q /\ ~~T
ready: no
Rule | logic.propositional.compland |
Location | [1,1,1,1,0,0,1] |
Term | "Nothing" |
Focus | "Nothing" |
Environment | |
p /\ ~~~~(p /\ ~q) /\ T /\ p /\ ((T /\ F /\ ~~(~~p /\ ~q) /\ T /\ ~F /\ T) || (~r /\ ~q /\ ~~(~~p /\ ~q) /\ T /\ ~F /\ T)) /\ (F || ~F) /\ ~q /\ ~~T
ready: no
Rule | logic.propositional.truezeroand |
Location | [1,1,1,1,0,0,1] |
Term | "Nothing" |
Focus | "Nothing" |
Environment | |
p /\ ~~~~(p /\ ~q) /\ T /\ p /\ ((T /\ q /\ ~q /\ ~~(~~p /\ ~q) /\ ~F /\ T) || (~r /\ ~q /\ ~~(~~p /\ ~q) /\ T /\ ~F /\ T)) /\ (F || ~F) /\ ~q /\ ~~T
ready: no
Rule | logic.propositional.truezeroand |
Location | [1,1,1,1,0,0,1] |
Term | "Nothing" |
Focus | "Nothing" |
Environment | |
p /\ ~~~~(p /\ ~q) /\ T /\ p /\ ((T /\ q /\ ~q /\ ~~(~~p /\ ~q) /\ T /\ ~F) || (~r /\ ~q /\ ~~(~~p /\ ~q) /\ T /\ ~F /\ T)) /\ (F || ~F) /\ ~q /\ ~~T
ready: no
Rule | logic.propositional.truezeroand |
Location | [1,1,1,1,0,0,1,1] |
Term | "Nothing" |
Focus | "Nothing" |
Environment | |
p /\ ~~~~(p /\ ~q) /\ T /\ p /\ ((T /\ q /\ ~q /\ ~~(~~p /\ ~q) /\ ~F /\ T) || (~r /\ ~q /\ ~~(~~p /\ ~q) /\ T /\ ~F /\ T)) /\ (F || ~F) /\ ~q /\ ~~T
ready: no
Rule | logic.propositional.truezeroand |
Location | [1,1,1,1,0,0,1,1] |
Term | "Nothing" |
Focus | "Nothing" |
Environment | |
p /\ ~~~~(p /\ ~q) /\ T /\ p /\ ((T /\ q /\ ~q /\ ~~(~~p /\ ~q) /\ T /\ ~F) || (~r /\ ~q /\ ~~(~~p /\ ~q) /\ T /\ ~F /\ T)) /\ (F || ~F) /\ ~q /\ ~~T
ready: no
Rule | logic.propositional.truezeroand |
Location | [1,1,1,1,0,0,1,1,1] |
Term | "Nothing" |
Focus | "Nothing" |
Environment | |
p /\ ~~~~(p /\ ~q) /\ T /\ p /\ ((T /\ q /\ ~q /\ ~~(~~p /\ ~q) /\ ~F /\ T) || (~r /\ ~q /\ ~~(~~p /\ ~q) /\ T /\ ~F /\ T)) /\ (F || ~F) /\ ~q /\ ~~T
ready: no
Rule | logic.propositional.truezeroand |
Location | [1,1,1,1,0,0,1,1,1] |
Term | "Nothing" |
Focus | "Nothing" |
Environment | |
p /\ ~~~~(p /\ ~q) /\ T /\ p /\ ((T /\ q /\ ~q /\ ~~(~~p /\ ~q) /\ T /\ ~F) || (~r /\ ~q /\ ~~(~~p /\ ~q) /\ T /\ ~F /\ T)) /\ (F || ~F) /\ ~q /\ ~~T
ready: no
Rule | logic.propositional.notnot |
Location | [1,1,1,1,0,0,1,1,1,0] |
Term | "Nothing" |
Focus | "Nothing" |
Environment | |
p /\ ~~~~(p /\ ~q) /\ T /\ p /\ ((T /\ q /\ ~q /\ ~~p /\ ~q /\ T /\ ~F /\ T) || (~r /\ ~q /\ ~~(~~p /\ ~q) /\ T /\ ~F /\ T)) /\ (F || ~F) /\ ~q /\ ~~T
ready: no
Rule | logic.propositional.notnot |
Location | [1,1,1,1,0,0,1,1,1,0,0,0,0] |
Term | "Nothing" |
Focus | "Nothing" |
Environment | |
p /\ ~~~~(p /\ ~q) /\ T /\ p /\ ((T /\ q /\ ~q /\ ~~(p /\ ~q) /\ T /\ ~F /\ T) || (~r /\ ~q /\ ~~(~~p /\ ~q) /\ T /\ ~F /\ T)) /\ (F || ~F) /\ ~q /\ ~~T
ready: no
Rule | logic.propositional.truezeroand |
Location | [1,1,1,1,0,0,1,1,1,1] |
Term | "Nothing" |
Focus | "Nothing" |
Environment | |
p /\ ~~~~(p /\ ~q) /\ T /\ p /\ ((T /\ q /\ ~q /\ ~~(~~p /\ ~q) /\ ~F /\ T) || (~r /\ ~q /\ ~~(~~p /\ ~q) /\ T /\ ~F /\ T)) /\ (F || ~F) /\ ~q /\ ~~T
ready: no
Rule | logic.propositional.truezeroand |
Location | [1,1,1,1,0,0,1,1,1,1] |
Term | "Nothing" |
Focus | "Nothing" |
Environment | |
p /\ ~~~~(p /\ ~q) /\ T /\ p /\ ((T /\ q /\ ~q /\ ~~(~~p /\ ~q) /\ T /\ ~F) || (~r /\ ~q /\ ~~(~~p /\ ~q) /\ T /\ ~F /\ T)) /\ (F || ~F) /\ ~q /\ ~~T
ready: no
Rule | logic.propositional.truezeroand |
Location | [1,1,1,1,0,0,1,1,1,1,1] |
Term | "Nothing" |
Focus | "Nothing" |
Environment | |
p /\ ~~~~(p /\ ~q) /\ T /\ p /\ ((T /\ q /\ ~q /\ ~~(~~p /\ ~q) /\ T /\ ~F) || (~r /\ ~q /\ ~~(~~p /\ ~q) /\ T /\ ~F /\ T)) /\ (F || ~F) /\ ~q /\ ~~T
ready: no
Rule | logic.propositional.notfalse |
Location | [1,1,1,1,0,0,1,1,1,1,1,0] |
Term | "Nothing" |
Focus | "Nothing" |
Environment | |
p /\ ~~~~(p /\ ~q) /\ T /\ p /\ ((T /\ q /\ ~q /\ ~~(~~p /\ ~q) /\ T /\ T /\ T) || (~r /\ ~q /\ ~~(~~p /\ ~q) /\ T /\ ~F /\ T)) /\ (F || ~F) /\ ~q /\ ~~T
ready: no
Rule | logic.propositional.truezeroand |
Location | [1,1,1,1,0,1] |
Term | "Nothing" |
Focus | "Nothing" |
Environment | |
p /\ ~~~~(p /\ ~q) /\ T /\ p /\ ((T /\ q /\ ~q /\ ~~(~~p /\ ~q) /\ T /\ ~F /\ T) || (~r /\ ~q /\ ~~(~~p /\ ~q) /\ ~F /\ T)) /\ (F || ~F) /\ ~q /\ ~~T
ready: no
Rule | logic.propositional.truezeroand |
Location | [1,1,1,1,0,1] |
Term | "Nothing" |
Focus | "Nothing" |
Environment | |
p /\ ~~~~(p /\ ~q) /\ T /\ p /\ ((T /\ q /\ ~q /\ ~~(~~p /\ ~q) /\ T /\ ~F /\ T) || (~r /\ ~q /\ ~~(~~p /\ ~q) /\ T /\ ~F)) /\ (F || ~F) /\ ~q /\ ~~T
ready: no
Rule | logic.propositional.truezeroand |
Location | [1,1,1,1,0,1,1] |
Term | "Nothing" |
Focus | "Nothing" |
Environment | |
p /\ ~~~~(p /\ ~q) /\ T /\ p /\ ((T /\ q /\ ~q /\ ~~(~~p /\ ~q) /\ T /\ ~F /\ T) || (~r /\ ~q /\ ~~(~~p /\ ~q) /\ ~F /\ T)) /\ (F || ~F) /\ ~q /\ ~~T
ready: no
Rule | logic.propositional.truezeroand |
Location | [1,1,1,1,0,1,1] |
Term | "Nothing" |
Focus | "Nothing" |
Environment | |
p /\ ~~~~(p /\ ~q) /\ T /\ p /\ ((T /\ q /\ ~q /\ ~~(~~p /\ ~q) /\ T /\ ~F /\ T) || (~r /\ ~q /\ ~~(~~p /\ ~q) /\ T /\ ~F)) /\ (F || ~F) /\ ~q /\ ~~T
ready: no
Rule | logic.propositional.truezeroand |
Location | [1,1,1,1,0,1,1,1] |
Term | "Nothing" |
Focus | "Nothing" |
Environment | |
p /\ ~~~~(p /\ ~q) /\ T /\ p /\ ((T /\ q /\ ~q /\ ~~(~~p /\ ~q) /\ T /\ ~F /\ T) || (~r /\ ~q /\ ~~(~~p /\ ~q) /\ ~F /\ T)) /\ (F || ~F) /\ ~q /\ ~~T
ready: no
Rule | logic.propositional.truezeroand |
Location | [1,1,1,1,0,1,1,1] |
Term | "Nothing" |
Focus | "Nothing" |
Environment | |
p /\ ~~~~(p /\ ~q) /\ T /\ p /\ ((T /\ q /\ ~q /\ ~~(~~p /\ ~q) /\ T /\ ~F /\ T) || (~r /\ ~q /\ ~~(~~p /\ ~q) /\ T /\ ~F)) /\ (F || ~F) /\ ~q /\ ~~T
ready: no
Rule | logic.propositional.notnot |
Location | [1,1,1,1,0,1,1,1,0] |
Term | "Nothing" |
Focus | "Nothing" |
Environment | |
p /\ ~~~~(p /\ ~q) /\ T /\ p /\ ((T /\ q /\ ~q /\ ~~(~~p /\ ~q) /\ T /\ ~F /\ T) || (~r /\ ~q /\ ~~p /\ ~q /\ T /\ ~F /\ T)) /\ (F || ~F) /\ ~q /\ ~~T
ready: no
Rule | logic.propositional.notnot |
Location | [1,1,1,1,0,1,1,1,0,0,0,0] |
Term | "Nothing" |
Focus | "Nothing" |
Environment | |
p /\ ~~~~(p /\ ~q) /\ T /\ p /\ ((T /\ q /\ ~q /\ ~~(~~p /\ ~q) /\ T /\ ~F /\ T) || (~r /\ ~q /\ ~~(p /\ ~q) /\ T /\ ~F /\ T)) /\ (F || ~F) /\ ~q /\ ~~T
ready: no
Rule | logic.propositional.truezeroand |
Location | [1,1,1,1,0,1,1,1,1] |
Term | "Nothing" |
Focus | "Nothing" |
Environment | |
p /\ ~~~~(p /\ ~q) /\ T /\ p /\ ((T /\ q /\ ~q /\ ~~(~~p /\ ~q) /\ T /\ ~F /\ T) || (~r /\ ~q /\ ~~(~~p /\ ~q) /\ ~F /\ T)) /\ (F || ~F) /\ ~q /\ ~~T
ready: no
Rule | logic.propositional.truezeroand |
Location | [1,1,1,1,0,1,1,1,1] |
Term | "Nothing" |
Focus | "Nothing" |
Environment | |
p /\ ~~~~(p /\ ~q) /\ T /\ p /\ ((T /\ q /\ ~q /\ ~~(~~p /\ ~q) /\ T /\ ~F /\ T) || (~r /\ ~q /\ ~~(~~p /\ ~q) /\ T /\ ~F)) /\ (F || ~F) /\ ~q /\ ~~T
ready: no
Rule | logic.propositional.truezeroand |
Location | [1,1,1,1,0,1,1,1,1,1] |
Term | "Nothing" |
Focus | "Nothing" |
Environment | |
p /\ ~~~~(p /\ ~q) /\ T /\ p /\ ((T /\ q /\ ~q /\ ~~(~~p /\ ~q) /\ T /\ ~F /\ T) || (~r /\ ~q /\ ~~(~~p /\ ~q) /\ T /\ ~F)) /\ (F || ~F) /\ ~q /\ ~~T
ready: no
Rule | logic.propositional.notfalse |
Location | [1,1,1,1,0,1,1,1,1,1,0] |
Term | "Nothing" |
Focus | "Nothing" |
Environment | |
p /\ ~~~~(p /\ ~q) /\ T /\ p /\ ((T /\ q /\ ~q /\ ~~(~~p /\ ~q) /\ T /\ ~F /\ T) || (~r /\ ~q /\ ~~(~~p /\ ~q) /\ T /\ T /\ T)) /\ (F || ~F) /\ ~q /\ ~~T
ready: no