a. I belive him to be honest. b. I belive him honest.
Both A and B are correct.
1/ According to Practical English Usage | Oxford University Press, some verbs of thinking and felling such as believe, consider , feel ... can be followed by object + infinitive ( usually to be) in a formal style. However, after believe, consider , find and think , it is often possible to drop to be before adjectives and sometimes ( especially with consider) before noun.
Examples: I considered him (to be) an excellent choice.
We found her ( to be) delightful.
They believe her (to be) reliable.
2/ According to Oxford advanced Dictionary: [believe + N + ADJ] Three sailors are missing, believed drowned.
( extracted from Oxford Advanced Dic.)
3/ According to Cambridge Advanced Learner's Dictionary: [ believe + object + adjective ] All the crew are missing, believed dead.
( extracted from Cambridge Advanced Learner's Dictionary)
My third edition does not give the "They believe her (to be) reliable" example; It gives only " They believed her to be reliable" and "They believed that she was reliable". It mentions the dropping of 'to be' after only 'consider'. Which edition are you quoting?1/ According to Practical English Usage | Oxford University Press, some verbs of thinking and felling such as believe, consider , feel ... can be followed by object + infinitive ( usually to be) in a formal style. However, after believe, consider , find and think , it is often possible to drop to be before adjectives and sometimes ( especially with consider) before noun.
Examples: I considered him (to be) an excellent choice.
We found her ( to be) delightful.
They believe her (to be) reliable.
Fine, but your examples #2 and #3 are rather different from the sentence we started with.2/ According to Oxford advanced Dictionary: [believe + N + ADJ] Three sailors are missing, believed drowned.
( extracted from Oxford Advanced Dic.)
3/ According to Cambridge Advanced Learner's Dictionary: [ believe + object + adjective ] All the crew are missing, believed dead.
( extracted from Cambridge Advanced Learner's Dictionary)
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