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Synergy User Manual and Tutorial. - THE CORE MEMORY

Synergy User Manual and Tutorial. - THE CORE MEMORY

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<strong>Synergy</strong> <strong>User</strong> <strong>Manual</strong> <strong>and</strong> <strong>Tutorial</strong><br />

lxi<br />

Temporal Logic<br />

P<br />

F<br />

H<br />

G<br />

"It has at some time been the case that …"<br />

"It will at some time be the case that …"<br />

"It has always been the case that …"<br />

"It will always be the case that …"<br />

Pp ≡ ¬H¬p<br />

Fp ≡ ¬G¬p<br />

Gp→Fp<br />

"What will always be, will be"<br />

G(p→q)→(Gp→Gq) "If p will always imply q, then if p will always be the case, so will q"<br />

Fp→FFp<br />

"If it will be the case that p, it will be — in between — that it will be"<br />

¬Fp→F¬Fp "If it will never be that p then it will be that it will never be that p"<br />

p→HFp<br />

p→GPp<br />

H(p→q)→(Hp→Hq)<br />

G(p→q)→(Gp→Gq)<br />

"What is, has always been going to be"<br />

"What is, will always have been"<br />

"Whatever always follows from what always has been, always has been"<br />

"Whatever always follows from what always will be, always will be"<br />

RH: From a proof of p, derive a proof of Hp<br />

RG: From a proof of p, derive a proof of Gp<br />

F∃xp(x)→∃xFp(x)<br />

p")<br />

("If there will be something that is p, then there is now something that will be<br />

98

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