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Apresente as possíveis subpalavras da palavra extraterrestre.

Segundo Ramos (2009), uma palavra α é uma subpalavra de outra palavra β se for possível escrever β como sendo γαδ, admitindo-se a possibilidade de γ ou δ ou ambos serem palavras vazias (ε). Note que prefixos (γ) e sufixos (δ) são casos particulares de subpalavras (α).

A Tabela 01 apresenta as subpalavras (α) da palavra extraterrestre (β), conforme a definição apresentada por Ramos (2009).

Tabela 01: subpalavras da palavra extraterrestre
|γ||α||δ|βγαδ
0014extraterrestreεεextraterrestre
0113extraterrestreεextraterrestre
1112extraterrestreextraterrestre
2111extraterrestreextraterrestre
3110extraterrestreextraterrestre
419extraterrestreextraterrestre
518extraterrestreextraterrestre
617extraterrestreextraterrestre
716extraterrestreextraterrestre
815extraterrestreextraterrestre
914extraterrestreextraterrestre
1013extraterrestreextraterrestre
1112extraterrestreextraterrestre
1211extraterrestreextraterrestre
1310extraterrestreextraterrestreε
0212extraterrestreεextraterrestre
1211extraterrestreextraterrestre
2210extraterrestreextraterrestre
329extraterrestreextraterrestre
428extraterrestreextraterrestre
527extraterrestreextraterrestre
626extraterrestreextraterrestre
725extraterrestreextraterrestre
824extraterrestreextraterrestre
923extraterrestreextraterrestre
1022extraterrestreextraterrestre
1121extraterrestreextraterrestre
1220extraterrestreextraterrestreε
0311extraterrestreεextraterrestre
1310extraterrestreextraterrestre
239extraterrestreextraterrestre
338extraterrestreextraterrestre
437extraterrestreextraterrestre
536extraterrestreextraterrestre
635extraterrestreextraterrestre
734extraterrestreextraterrestre
833extraterrestreextraterrestre
932extraterrestreextraterrestre
1031extraterrestreextraterrestre
1130extraterrestreextraterrestreε
0410extraterrestreεextraterrestre
149extraterrestreextraterrestre
248extraterrestreextraterrestre
347extraterrestreextraterrestre
446extraterrestreextraterrestre
545extraterrestreextraterrestre
644extraterrestreextraterrestre
743extraterrestreextraterrestre
842extraterrestreextraterrestre
941extraterrestreextraterrestre
1040extraterrestreextraterrestreε
059extraterrestreεextraterrestre
158extraterrestreextraterrestre
257extraterrestreextraterrestre
356extraterrestreextraterrestre
455extraterrestreextraterrestre
554extraterrestreextraterrestre
653extraterrestreextraterrestre
752extraterrestreextraterrestre
851extraterrestreextraterrestre
950extraterrestreextraterrestreε
068extraterrestreεextraterrestre
167extraterrestreextraterrestre
266extraterrestreextraterrestre
365extraterrestreextraterrestre
464extraterrestreextraterrestre
563extraterrestreextraterrestre
662extraterrestreextraterrestre
761extraterrestreextraterrestre
860extraterrestreextraterrestreε
077extraterrestreεextraterrestre
176extraterrestreextraterrestre
275extraterrestreextraterrestre
374extraterrestreextraterrestre
473extraterrestreextraterrestre
572extraterrestreextraterrestre
671extraterrestreextraterrestre
770extraterrestreextraterrestreε
086extraterrestreεextraterrestre
185extraterrestreextraterrestre
284extraterrestreextraterrestre
383extraterrestreextraterrestre
482extraterrestreextraterrestre
581extraterrestreextraterrestre
680extraterrestreextraterrestreε
095extraterrestreεextraterrestre
194extraterrestreextraterrestre
293extraterrestreextraterrestre
392extraterrestreextraterrestre
491extraterrestreextraterrestre
590extraterrestreextraterrestreε
0104extraterrestreεextraterrestre
1103extraterrestreextraterrestre
2102extraterrestreextraterrestre
3101extraterrestreextraterrestre
4100extraterrestreextraterrestreε
0113extraterrestreεextraterrestre
1112extraterrestreextraterrestre
2111extraterrestreextraterrestre
3110extraterrestreextraterrestreε
0122extraterrestreεextraterrestre
1121extraterrestreextraterrestre
2120extraterrestreextraterrestreε
0131extraterrestreεextraterrestre
1130extraterrestreextraterrestreε
0140extraterrestreεextraterrestreε

Conforme apresentado na Tabela 01, as subpalavras (α) da palavra extraterrestre (β) são formalmente definidas como:

{ε, a, e, r, s, t, x, at, er, es, ex, ra, re, rr, st, te, tr, xt, ate, err, est, ext, rat, res, rre, str, ter, tra, tre, xtr, ater, erre, estr, extr, rate, rest, rres, stre, terr, trat, xtra, aterr, erres, estre, extra, rater, restr, rrest, terre, trate, xtrat, aterre, errest, extrat, raterr, restre, rrestr, terres, trater, xtrate, aterres, errestr, extrate, raterre, rrestre, terrest, traterr, xtrater, aterrest, errestre, extrater, raterres, terrestr, traterre, xtraterr, aterrestr, extraterr, raterrest, terrestre, traterres, xtraterre, aterrestre, extraterre, raterrestr, traterrest, xtraterres, extraterres, raterrestre, traterrestr, xtraterrest, extraterrest, traterrestre, xtraterrestr, extraterrestr, xtraterrestre, extraterrestre}

Ramos, Marcus Vinícius Midena. (2009). Linguagens Formais: teoria, modelagem e implementação. Porto Alegre: Bookman. 656 páginas.