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