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