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