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