Abstract sequent axiomatizations of finitary universal Horn theories Abstract Proof Theory versus General Algebraic Logic
Availability: In stock
Regular Price
AED 750.00
Special Price
AED 712.50
Here, we introduce and study the concept of abstract sequent axiomatization of generalized logics based upon the concept of abstract derivation from absolutely free algebras to arbitrary ones. As a general result, we prove thatany logic having a deduction theorem has an equivalent abstract sequent axiomatization.Conversely, we prove that any algebraizable logic having an algebraizableabstract sequent axiomatization has a deduction theorem. As for sentential logics, we prove that any conjunctive self-extensional logic has an algebraizable abstract sequent axiomatization equivalent to the intrinsic variety of the logic.As a consequence, we prove that any algebraizable self-extensional conjunctivelogic has a deduction theorem. Finally, we explore several non-protoalgebraicsentential logics, each being proved to have an algebraizable abstract sequentaxiomatization equivalent to the intrinsic variety of the logic
Publisher Name | Independently Published |
---|---|
Author Name | Hagendorf, Col |
Format | Audio |
Bisac Subject Major | MAT |
Language | NG |
Isbn 10 | 1794595546 |
Isbn 13 | 9781794595545 |
Target Age Group | min:NA, max:NA |
Dimensions | 00.90" H x 20.05" L x 98.00" W |
Page Count | 80 |
Write Your Own Review
Recommended Products
IMMORTALS OF MELUHA- Amish
he Immortals of Meluha is the first book of Amish Tripathi, first book of Amishverse, and also the...
AED 35.00