Abstract: We provide the foundations of automated deduction in the propositional Gδdel logic. The propositional Gδdel logic is one of the simplest infinitely valued fuzzy logics, which generalizes ...

Performs normal form conversions of propositional formulas through the use of syntax trees, and provides 3 sat-solver algorithms with verifiable step-by-step output.

Abstract: We present a new CEGAR-based algorithm for QBF. The algorithm builds on a decomposition of QBFs into a sequence of propositional formulas, which we call the clausal abstraction. Each of the ...

A logical solver based on resolution by refutation. It determines whether a set of clauses, expressed in simplified conjunctive normal form (CNF), is satisfiable or not. In addition to be able to ...

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 ...

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 ...

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: 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 ...