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