In :numref:`Chapter %s <semantics_of_propositional_logic>`, we emphasized a distinction between the syntax and the semantics of propositional logic. Syntactic questions have to do with the formal ...

Abstract: It is known that some fuzzy predicate logics, such as Łukasiewicz predicate logic, are not complete with respect to the standard real-valued semantics. In the present paper we focus upon a ...

Journal of Logic, Language, and Information, Vol. 2, No. 3 (Jul., 1993), pp. 217-254 (38 pages) In this paper a semantics for dynamic predicate logic is developed that uses sequence valued assignments ...

Historically, it was initially a formalization of mathematical language and reasoning, proposed by G. Frege between the end of the 19th and the beginning of the 20th century, and "popularized" by B.

The original de nition of a stable model has been generalized to logic programs with aggregates. On the other hand, it was extended to fi rst-order formulas using a syntactic transformation SM, ...

Girard introduced phase semantics as a complete set-theoretic semantics of linear logic, and Okada modified phase-semantic completeness proofs to obtain normalform theorems. On the basis of these ...

The Master in Logic at the University of Gothenburg offers a variety of courses with a core focus on Mathematical Logic, providing a solid foundation for the study of Logic. Additional courses in ...