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