ABSTRACT: In the XII Latin American Symposium on Mathematical Logic we presented a work introducing a Hilbert-style propositional calculus called four-valued Monteiro propositional calculus. This ...
The classical propositional calculus (zero-order logic, classical propositional logic), is the most fundamental two-valued logical system. In this paper we present a proof of inconsistency of the ...
ABSTRACT: From fundamental concepts of the Paraconsistent Annotated Logic with annotation of two values (PAL2v), whose main feature is to be capable of treating contradictory information, was created ...
The Journal of Symbolic Logic (JSL) was founded in 1936 and it has become the leading research journal in the field. It is issued quarterly. Volume 71, being published during 2006, will consist of ...
Studia Logica publishes original papers on various logical systems, which utilize methods of contemporary formal logic (those of algebra, model theory, proof theory, etc.). More specifically, Studia ...
Propositions can be constructed in identical ways in the Haskell and OCaml implementations.
Abstract: Cirquent calculus is a new proof-theoretic and semantic approach introduced for the needs of computability logic by G.Japaridze, who also showed that, through cirquent calculus, one can ...
A review is presented of the correspondence existing in both classical bivalent logic (BL) and canonical fuzzy logic (CFL) between each law or tautology in propositional calculus and a law in set ...
Here are some example propositions. 34043 is the sum of two square numbers. The square root of 2 is not a rational number. 1111111111111111111 is a prime number. The Riemann hypothesis is false. 25 is ...