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Abstract The undecidability of first-order logic implies that there is no computable bound on the length of shortest proofs of… Expand A continuous t-norm is a continuous map * from [0, 1]2 into [0, 1] such that $$\langle [0, 1], *, 1 \rangle$$ is a commutative… Expand Abstract BL algebras were introduced by Hájek as algebraic structures for his Basic Logic, starting from continuous t-norms on [0… Expand Abstract In this paper we prove that Basic Logic (BL) is complete w.r.t. the continuous t-norms on [0, 1], solving the open… Expand Abstract The all nearest smaller values problem is defined as follows. Let A = ( a 1 , a 2 ,..., a n ) be n elements drawn from a… Expand Many iterative algorithms for the solution of large linear systems may be effectively vectorized if the diagonal of the matrix is… Expand Solvable Classes of Quantificational Formulas Burton Dreben and Warren D. Goldfarb, Harvard Univ. Skolem and Herbrand addressed… Expand The reduction of one combinatorial decision problem PI to another P2 can be achieved by constructing an effective map r : Pa… Expand In , Rogers discussed the concept of Godel numbering. He defined a semi-effective numbering, constructed a semi-lattice of… Expand In § 1 we present conceptual material concerning the notion of a Godel numbering of the partial recursive functions. § 2 presents… Expand