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