Logic is--arguably--all about proving, but proofs can be "costly," often impossibly so, and today most are delegated to (partly) automatic provers, namely by so-called SAT solvers, software based on the (Boolean) satisfiability problem, or SAT. This is the dual of the (Boolean) validity problem, or VAL, at the core of the conception of the digital computer via Hilbert's Entscheidungsproblem and the Universal Turing Machine. While these problems--VAL significantly less so than SAT--feature in introductory logic textbooks aimed at computer science students, they are largely or wholly absent from textbooks targeting a mathematical or philosophical studentship.

Formal logic: Classic problems and proofs corrects this--in our view--misguided state of affairs by providing the basics of formal classical logic from the central viewpoint of a formal, or computer, language that distinguishes itself from the other formal or computer languages by its ability to preserve truth, thus potentially providing solutions to decision problems formulated in terms of VAL and/or SAT. This fundamental aspect of classical logic, truth-preservation, is elaborated on from three main formal semantics, to wit, Tarskian, Herbrand, and algebraic (Boolean) semantics, which, in turn, via the adequateness results for the standard first-order logic, underlie the main proof systems of direct and indirect, or refutation, proofs, associated to VAL and SAT, respectively.

Not focusing on the history of classical logic, this book nevertheless provides discussions and quotes central passages on its origins and development, namely from a philosophical perspective. Not being a book in mathematical logic, it takes formal logic from an essentially mathematical perspective. Biased towards a computational approach, with SAT and VAL as its backbone, this is thus an introduction to logic that covers essential aspects of the three branches of logic, to wit, philosophical, mathematical, and computational.

"About this title" may belong to another edition of this title.

Store Description

Quality books, speedy shipping, and great customer service! Please note that used items may not include access codes or cards, CD's or other accessories, regardless of what is stated in item title. If you need to guarantee that these items are included, please purchase a brand new copy.

Visit Seller's Storefront

Seller's business information

J2B Holdings, LLC
13770 NOEL RD, #803600, Dallas, TX, 75240, U.S.A.

Sale & Shipping Terms

Terms of Sale

We guarantee the condition of every book as it's described on the AbeBooks web
sites. Please note that used items may not include access codes or cards, CD's
or other accessories, regardless of what is stated in item title. If you need to
guarantee that these items are included, please purchase a brand new copy.

All requests for refunds and/or returns will be processed in accordance with
AbeBooks policies. If you're dissatisfied with your purchase (Incorrect Book/Not
as Described/Damaged) or if ...

More Information

Shipping Terms

Books ordered via expedited shipping should arrive between 2 and 7 business days after shipment confirmation. Books ordered via standard shipping should arrive between 4 and 14 business days after shipment confirmation.

Shipping rates within U.S.A.

Shipping rates within U.S.A.
Order quantity	4 to 10 business days	3 to 6 business days
First item	US$ 3.99	US$ 6.99

Delivery times are set by sellers and vary by carrier and location. Orders passing through Customs may face delays and buyers are responsible for any associated duties or fees. Sellers may contact you regarding additional charges to cover any increased costs to ship your items.