where ---> and <---> are meant to be the traditional arrows denoting logical implication and logical equivalence. If you don't know propositional calculus, we'll say just a few things to help ease ...
Python package that provides an interface to work with classical propositional and first-order logic, based on my solutions to the textbook Mathematical Logic Through Python by Nisan and Gonczarowski ...
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 ...
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 ...
Abstract: The aim of this paper is partial axiomatization of universal logic. A propositional calculus formal deductive system UL/sub h/spl epsi/(0,1)/ of 0-level universal logic is built up. The ...
Propositions can be constructed in identical ways in the Haskell and OCaml implementations.
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 ...
Kanger [4] gives a set of twelve axioms for the classical propositional Calculus which, together with modus ponens and substitution, have the following nice properties: (0.1) Each axiom contains ...
Abstract: We introduce a multi-type display calculus for Propositional Dynamic Logic (PDL). This calculus is complete w.r.t. PDL, and enjoys Belnap-style cut-elimination and subformula property.
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 ...
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