Deductive

A deductive system is called complete if every logically valid formula is the conclusion of some formal deduction, and the completeness theorem for a particular deductive system is the theorem that it is complete in this sense.

A formal system (also called a logical calculus, or a logical system) consists of a formal language together with a deductive apparatus (also called a deductive system).

Deductive systems A deductive system is used to demonstrate, on a purely syntactic basis, that one formula is a logical consequence of another formula.

Role in mathematical logic Deductive systems and completeness A deductive system consists of a set of logical axioms, a set of non-logical axioms, and a set of rules of inference.

Soundness Soundness of a deductive system is the property that any sentence that is provable in that deductive system is also true on all interpretations or structures of the semantic theory for the language upon which that theory is based.

Each new perspective unlocked more of the mystery, but it was ultimately Blanc's unique deductive mind that uncovered the truth.

Great for deductive reasoning.

There are many smart regular characters on “The West Wing,” and much is made of everyone’s deductive reasoning — but it is Perry who is brought in for this blow, to one-up our regular crew.

While McKellen’s version of Holmes officially claims that he’s no longer in the business of taking on new clients, that doesn’t mean he isn’t using his powers of deductive reasoning to keep himself entertained.

Jack Reacher does not possess supernatural abilities but is special like Liv Moore in the sense that he has exceptional strength and deductive skills.

According to the press release, the exam will have comprehension based questions from Quantitative Techniques, English, Current Affairs, Deductive Reasoning and Logical Reasoning.

In those days, it was said that his intelligence and powers of deductive reasoning exceeded that of even Sherlock's.

The deductive nature of the law, when combined with the preternatural character of alternative investing, forms a conflicting amalgam joined in service of a specific objective — creating “alpha,” or outsized, risk-adjusted returns.

When the water freezes or the lights fuse, you’ll need a detective with Hercule’s deductive powers to work out how your weirdly wired, paradoxically plumbed old house works.

Always methodical and deliberate, Craig then detailed the reasoning behind his sentence before actually imposing it, an exercise in deductive sentencing.

Prior practice and awareness of deductive paragraphs were the key.

A deduction is also the conclusion reached by a deductive reasoning process.

A deductive system is sound if any formula that can be derived in the system is logically valid.

A deductive system with a semantic theory is strongly complete if every sentence P that is a semantic consequence of a set of sentences Γ can be derived in the deduction system from that set.

A desirable property of a deductive system is that it be complete.