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