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