SOUNDNESS AND COMPLETENESS OF FORMAL LOGICS OF SYMMETRIC ENCRYPTION Gergei Bana Supervisor: Andre Scedrov In the last two decades, two major directions in cryptography have developed: formal and computational. The formal approach uses simple, manageable formal languages to describe cryptographic protocols; this approach is amenable to automatization, suitable for computer tools, but its accurac...

Isabelle [3, 4] is a generic theorem prover. It suppports interactive proof in several formal systems, including first-order logic (intuitionistic and classical), higher-order logic, Martin-Löf type theory, and Zermelo-Fraenkel set theory. New logics can be introduced by specifying their syntax and rules of inference. Both natural deduction and sequent calculi are allowed. Isabelle’s approach i...

Formal methods and testing are two important approaches that assist in the development of cyber physical systems. Formal specification can be used to assist testing and Formal methods and testing are seen as complementary. In this paper, we address the problem of generating test cases for cyber physical systems from formal specifications using differential dynamic logic(DL), a logic for specify...

Gödel’s modal logic approach to analyzing provability attracted a great deal of attention and eventually led to two distinct mathematical models. The first is the modal logic GL, also known as the Provability Logic, which was shown in 1979 by Solovay to be the logic of the formal provability predicate. The second is Gödel’s original modal logic of provability S4, together with its explicit coun...

The problem of artificial precision demonstrates the inadequacy of näıve fuzzy semantics for vagueness. This problem is, nevertheless, satisfactorily remedied by fuzzy plurivaluationism; i.e., by taking a class of fuzzy models (a fuzzy plurivaluation), instead of a single fuzzy model, for the semantics of a vague concept. Such a fuzzy plurivaluation in turn represents the class of models of a f...

The historic background of algorithmic processing with regard to etymology and methodology is translated into terms of mathematical logic and Computer Science. A formal logic structure is introduced by exemplary questions posed to Fiqh-chapters to define a logic query language. As a foundation, a generic algorithm for deciding Fiqhrulings is designed to enable and further leverage rule of law (...

Philosophical problems concerning language are as old the philosophy itself. The works of Frege, Russell and Tarski brought closer to modern logic. Formal methods found in logic together with structural analysis natural languages we owe work Chomsky his school form backbone formal semantics, fertile discipline that has significantly improved our understanding mechanisms on which rest. We will d...