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- Formal_proof abstract "A formal proof or derivation is a finite sequence of sentences (called well-formed formulas in the case of a formal language) each of which is an axiom or follows from the preceding sentences in the sequence by a rule of inference. The last sentence in the sequence is a theorem of a formal system. The notion of theorem is not in general effective, therefore there may be no method by which we can always find a proof of a given sentence or determine that none exists. The concept of natural deduction is a generalization of the concept of proof.The theorem is a syntactic consequence of all the well-formed formulas preceding it in the proof. For a well-formed formula to qualify as part of a proof, it must be the result of applying a rule of the deductive apparatus of some formal system to the previous well-formed formulae in the proof sequence. Formal proofs often are constructed with the help of computers in interactive theorem proving. Significantly, these proofs can be checked automatically, also by computer. Checking formal proofs is usually simple, while the problem of finding proofs (automated theorem proving) is usually computationally intractable and/or only semi-decidable, depending upon the formal system in use.".
- Formal_proof wikiPageExternalLink Logic.
- Formal_proof wikiPageID "1197184".
- Formal_proof wikiPageRevisionID "543892570".
- Formal_proof hasPhotoCollection Formal_proof.
- Formal_proof subject Category:Formal_languages.
- Formal_proof subject Category:Formal_systems.
- Formal_proof subject Category:Logical_truth.
- Formal_proof subject Category:Proof_theory.
- Formal_proof subject Category:Syntax_(logic).
- Formal_proof type Artifact100021939.
- Formal_proof type FormalSystems.
- Formal_proof type Instrumentality103575240.
- Formal_proof type Object100002684.
- Formal_proof type PhysicalEntity100001930.
- Formal_proof type System104377057.
- Formal_proof type Whole100003553.
- Formal_proof comment "A formal proof or derivation is a finite sequence of sentences (called well-formed formulas in the case of a formal language) each of which is an axiom or follows from the preceding sentences in the sequence by a rule of inference. The last sentence in the sequence is a theorem of a formal system. The notion of theorem is not in general effective, therefore there may be no method by which we can always find a proof of a given sentence or determine that none exists.".
- Formal_proof label "Derivação formal".
- Formal_proof label "Dimostrazione".
- Formal_proof label "Formal proof".
- Formal_proof label "برهان فلسفي".
- Formal_proof sameAs Dimostrazione.
- Formal_proof sameAs Derivação_formal.
- Formal_proof sameAs m.043v063.
- Formal_proof sameAs Q2762418.
- Formal_proof sameAs Q2762418.
- Formal_proof sameAs Formal_proof.
- Formal_proof wasDerivedFrom Formal_proof?oldid=543892570.
- Formal_proof isPrimaryTopicOf Formal_proof.