Self-reference 1999 computations preserved from deletion by att worldnet's demise. Note: singletons are moved as far forward in the alphabet as possible below. Thus sentences with a z are also pangrams. Computations were done with binary decision diagrams (BDD's). Public domain, distribute freely with or without attribution.

Monday, January 4, 2010

Self-Referential Sentences: Roman Numerals

Self-referential ``this sentence has'' sentences with roman numerals, exhaustive list - there are no others.


1. This sentence has iii a's, i b, ii c's, ii d's, iv e's, iii h's, xx i's, iv n's, xv s's, iii t's, vi v's, and iv x's.

2. This sentence has iii a's, i b, ii c's, ii d's, iv e's, iii h's, xxi i's, iv n's, xv s's, iii t's, vi v's, and iv x's.

3. This sentence has iii a's, i b, ii c's, ii d's, iv e's, iii h's, xxii i's, iv n's, xv s's, iii t's, vi v's, and iv x's.

4. This sentence has iii a's, i b, ii c's, ii d's, iv e's, iii h's, xxiii i's, iv n's, xv s's, iii t's, vi v's, and iv x's.

5. This sentence has iii a's, i b, ii c's, ii d's, iv e's, i f, i g, iii h's, xxiv i's, iv n's, xv s's, iii t's, vii v's, and iv x's.

6. This sentence has iii a's, i b, ii c's, ii d's, iv e's, i f, i g, iii h's, xxix i's, i j, i k, i l, i m, iv n's, i o, i p, i q, xv s's, iii t's, vi v's, and v x's.

7. This sentence has iii a's, i b, ii c's, ii d's, iv e's, i f, i g, iii h's, xxv i's, i j, i k, iv n's, xv s's, iii t's, vii v's, and iv x's.

8. This sentence has iii a's, i b, ii c's, ii d's, iv e's, i f, i g, iii h's, xxvi i's, i j, i k, iv n's, xv s's, iii t's, vii v's, and iv x's.

9. This sentence has iii a's, i b, ii c's, ii d's, iv e's, i f, i g, iii h's, xxvii i's, i j, i k, iv n's, xv s's, iii t's, vii v's, and iv x's.

10. This sentence has iii a's, i b, ii c's, ii d's, iv e's, i f, i g, iii h's, xxviii i's, i j, i k, iv n's, xv s's, iii t's, vii v's, and iv x's.

11. This sentence has iii a's, i b, ii c's, ii d's, iv e's, i f, i g, iii h's, xxx i's, i j, i k, i l, i m, iv n's, i o, i p, i q, i r, xv s's, iii t's, i u, vi v's, and v x's.

12. This sentence has iii a's, i b, ii c's, ii d's, iv e's, i f, i g, iii h's, xxxi i's, i j, i k, i l, i m, iv n's, i o, i p, i q, i r, xv s's, iii t's, i u, vi v's, and v x's.

13. This sentence has iii a's, i b, ii c's, ii d's, iv e's, i f, i g, iii h's, xxxii i's, i j, i k, i l, i m, iv n's, i o, i p, i q, i r, xv s's, iii t's, i u, vi v's, and v x's.

14. This sentence has iii a's, i b, ii c's, ii d's, iv e's, i f, i g, iii h's, xxxiii i's, i j, i k, i l, i m, iv n's, i o, i p, i q, i r, xv s's, iii t's, i u, vi v's, and v x's.

15. This sentence has iii a's, i b, ii c's, ii d's, iv e's, i f, i g, iii h's, xxxiv i's, i j, i k, i l, i m, iv n's, i o, i p, i q, i r, xv s's, iii t's, i u, vii v's, i w, v x's, and i y.

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