Exercise

Exercise logic.propositional.dnf

Description
Proposition to DNF

Firsts

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

Rule	logic.propositional.idempand
Location	[]
Term	"Nothing"
Focus	"Nothing"
Environment

Rule	logic.propositional.truezeroand
Location	[]
Term	"Nothing"
Focus	"Nothing"
Environment

Rule	logic.propositional.notnot
Location	[0]
Term	"Nothing"
Focus	"Nothing"
Environment

Rule	logic.propositional.nottrue
Location	[0,0]
Term	"Nothing"
Focus	"Nothing"
Environment

Rule	logic.propositional.notfalse
Location	[1,1,1,0]
Term	"Nothing"
Focus	"Nothing"
Environment