Natural 3-valued logics—characterization and proof theory

Natural 3-Valued Logics - Characterization and Proof Theory

Proof Theory of Finite-valued Logics

Preface Many-valued logic is not much younger than the whole field of symbolic logic. It was introduced in the early twenties of this century by Lukasiewicz [1920] and Post [1921] and has since developed into a very large area of research. Most of the early work done has concentrated on problems of axiomatizability on the one hand, and algebraical/model theoretic investigations on the other. Th...

Structures with Many-Valued Information and Their Relational Proof Theory

We present a uniform relational framework for developing proof systems for theories of manyvaluedness that may have the form of a logical system, of a class of algebra or of an information system. We outline a construction of proof systems for SHn logics, mv−algebras and many−valued information systems.

Natural Proof Search and Proof Writing

Muscadet is a knowledge-based theorem prover based on natural deduction. Its results show its complementarity with regard to resolution-based provers. This paper presents some Muscadet results and points out some of its characteristics.

On the Proof Theory of Natural Many - valuedLogicsArnon

We claim that Proof Systems for natural many-valued logics, whether nite-valued or innnite-valued should be similar in their structure to proof systems of any other natural logic: one should not be able to tell from the structures which are used in a proof system the intended semantics. It is also preferable that standard connectives will be used, with corresponding standard rules. We demonstra...