237:
227:
206:
178:
22:
80:
53:
90:
315:
What's the difference? I thought "propositional logic" was logic without quantifiers, first-order logic adds quantifiers over elements in some domain of discourse to propositional logic, and second-order logic adds quantifiers over prepositions to first-order logic. I don't see where "second-order
511:
TQBF is a specific decision problem in
Computer Science. The language that the formula is written in is exactly the language of second-order propositional logic. Just in the same way as SAT is a problem regarding formulas of (zeroth-order) propositional logic.
452:
378:
293:
331:
There are quantifiers but only over propositions. So there is still no universe of discourse and no variables for individuals. For example, there are sentences like
111:
on
Knowledge. If you would like to support the project, please visit the project page, where you can get more details on how you can help, and where you can join the
541:
148:
138:
566:
283:
561:
536:
551:
259:
113:
389:
556:
546:
250:
211:
336:
103:
58:
481:
499:
33:
185:
63:
21:
321:
39:
236:
487:
517:
258:
on
Knowledge. If you would like to participate, please visit the project page, where you can join
491:
242:
226:
205:
521:
503:
470:
325:
95:
495:
477:
Difference between "Second-order propositional logic" and "True quantified binary formulas"?
317:
513:
177:
530:
465:
255:
311:
Difference between "Second-order propositional logic" and "Second-order logic"?
232:
108:
85:
461:
107:, a collaborative effort to improve the coverage of content related to
447:{\displaystyle \forall P\forall Q((P\land Q)\lor \lnot P\lor \lnot Q)}
79:
52:
15:
373:{\displaystyle \forall A\exists B(B\leftrightarrow \lnot A)}
176:
482:
http://en.wikipedia.org/True_quantified_Boolean_formula
392:
339:
254:, a collaborative effort to improve the coverage of
159:
446:
372:
8:
200:
156:
47:
19:
391:
338:
202:
49:
316:propositional logic" finds its niche.
117:about philosophy content on Knowledge.
7:
248:This article is within the scope of
101:This article is within the scope of
38:It is of interest to the following
542:Low-importance Philosophy articles
435:
426:
399:
393:
361:
346:
340:
14:
567:Low-priority mathematics articles
268:Knowledge:WikiProject Mathematics
271:Template:WikiProject Mathematics
235:
225:
204:
123:Knowledge:WikiProject Philosophy
88:
78:
51:
20:
562:Stub-Class mathematics articles
288:This article has been rated as
143:This article has been rated as
126:Template:WikiProject Philosophy
537:Stub-Class Philosophy articles
441:
420:
408:
405:
367:
358:
352:
1:
552:Low-importance logic articles
262:and see a list of open tasks.
583:
522:11:47, 20 March 2017 (UTC)
149:project's importance scale
557:Logic task force articles
547:Stub-Class logic articles
504:11:36, 1 March 2012 (UTC)
287:
220:
184:
155:
142:
73:
46:
471:17:29, 28 May 2010 (UTC)
326:15:36, 28 May 2010 (UTC)
294:project's priority scale
251:WikiProject Mathematics
160:Associated task forces:
448:
374:
181:
104:WikiProject Philosophy
28:This article is rated
449:
375:
180:
390:
337:
274:mathematics articles
129:Philosophy articles
444:
370:
243:Mathematics portal
182:
114:general discussion
34:content assessment
507:
490:comment added by
469:
308:
307:
304:
303:
300:
299:
199:
198:
195:
194:
191:
190:
96:Philosophy portal
574:
506:
484:
459:
453:
451:
450:
445:
379:
377:
376:
371:
276:
275:
272:
269:
266:
245:
240:
239:
229:
222:
221:
216:
208:
201:
167:
157:
131:
130:
127:
124:
121:
98:
93:
92:
91:
82:
75:
74:
69:
66:
55:
48:
31:
25:
24:
16:
582:
581:
577:
576:
575:
573:
572:
571:
527:
526:
485:
479:
388:
387:
335:
334:
313:
273:
270:
267:
264:
263:
241:
234:
214:
165:
128:
125:
122:
119:
118:
94:
89:
87:
67:
61:
32:on Knowledge's
29:
12:
11:
5:
580:
578:
570:
569:
564:
559:
554:
549:
544:
539:
529:
528:
525:
524:
478:
475:
474:
473:
456:
455:
454:
443:
440:
437:
434:
431:
428:
425:
422:
419:
416:
413:
410:
407:
404:
401:
398:
395:
382:
381:
380:
369:
366:
363:
360:
357:
354:
351:
348:
345:
342:
312:
309:
306:
305:
302:
301:
298:
297:
286:
280:
279:
277:
260:the discussion
247:
246:
230:
218:
217:
209:
197:
196:
193:
192:
189:
188:
183:
173:
172:
170:
168:
162:
161:
153:
152:
145:Low-importance
141:
135:
134:
132:
100:
99:
83:
71:
70:
68:Low‑importance
56:
44:
43:
37:
26:
13:
10:
9:
6:
4:
3:
2:
579:
568:
565:
563:
560:
558:
555:
553:
550:
548:
545:
543:
540:
538:
535:
534:
532:
523:
519:
515:
510:
509:
508:
505:
501:
497:
493:
489:
483:
476:
472:
467:
463:
457:
438:
432:
429:
423:
417:
414:
411:
402:
396:
386:
385:
383:
364:
355:
349:
343:
333:
332:
330:
329:
328:
327:
323:
319:
310:
295:
291:
285:
282:
281:
278:
261:
257:
253:
252:
244:
238:
233:
231:
228:
224:
223:
219:
213:
210:
207:
203:
187:
179:
175:
174:
171:
169:
164:
163:
158:
154:
150:
146:
140:
137:
136:
133:
116:
115:
110:
106:
105:
97:
86:
84:
81:
77:
76:
72:
65:
60:
57:
54:
50:
45:
41:
35:
27:
23:
18:
17:
486:— Preceding
480:
314:
290:Low-priority
289:
249:
215:Low‑priority
144:
112:
102:
40:WikiProjects
318:Jason Quinn
265:Mathematics
256:mathematics
212:Mathematics
531:Categories
120:Philosophy
109:philosophy
59:Philosophy
30:Stub-class
514:Kirelagin
500:contribs
488:unsigned
458:— Carl
292:on the
147:on the
492:Ancmin
36:scale.
186:Logic
64:Logic
518:talk
496:talk
466:talk
384:and
322:talk
462:CBM
284:Low
139:Low
533::
520:)
502:)
498:•
464:·
436:¬
433:∨
427:¬
424:∨
415:∧
400:∀
394:∀
362:¬
359:↔
347:∃
341:∀
324:)
166:/
62::
516:(
494:(
468:)
460:(
442:)
439:Q
430:P
421:)
418:Q
412:P
409:(
406:(
403:Q
397:P
368:)
365:A
356:B
353:(
350:B
344:A
320:(
296:.
151:.
42::
Text is available under the Creative Commons Attribution-ShareAlike License. Additional terms may apply.
