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