A construction principle for natural deduction systems for arbitrary, finitely-many-valued first order logics is exhibited. These systems are systematically obtained from sequent calculi, which in turn can be automatically extracted from the truth tables of the logics under consideration. Soundness and cut-free completeness of these sequent calculi translate into soundness, completeness, and normal-form theorems for natural deduction systems
We develop a general method for deriving natural deduction rules from the truth table for a connecti...
The formalization of the notion of a logically sound argument as a natural deduction proof offers th...
We introduce a framework for presenting non-classical logics in a modular and uniform way as labelle...
A construction principle for natural deduction systems for arbitrary, finitely-many-valued first ord...
The proof theory of many-valued systems has not been investigated to an extent comparable to the wor...
Natural deductions form an important tool in applications of logic to scientific theories. Our calcu...
In this paper, we show that an intuitionistic logic with second-order function quantification, calle...
International audienceWe extend to natural deduction the approach of Linear Nested Sequents and of 2...
A uniform construction for sequent calculi for finite-valued first-order logics with distribution qu...
2nd edition. Many-valued logics are those logics that have more than the two classical truth values,...
In the current paper we present a powerful technique of obtaining natural deduction (or, in other wo...
In earlier articles we have introduced truth table natural deduction which allows one to extract nat...
This paper describes a proof theoretic and semantic approach in which logics belonging to different ...
We develop a general method for deriving natural deduction rules from the truth table for a connecti...
The formalization of the notion of a logically sound argument as a natural deduction proof offers th...
We introduce a framework for presenting non-classical logics in a modular and uniform way as labelle...
A construction principle for natural deduction systems for arbitrary, finitely-many-valued first ord...
The proof theory of many-valued systems has not been investigated to an extent comparable to the wor...
Natural deductions form an important tool in applications of logic to scientific theories. Our calcu...
In this paper, we show that an intuitionistic logic with second-order function quantification, calle...
International audienceWe extend to natural deduction the approach of Linear Nested Sequents and of 2...
A uniform construction for sequent calculi for finite-valued first-order logics with distribution qu...
2nd edition. Many-valued logics are those logics that have more than the two classical truth values,...
In the current paper we present a powerful technique of obtaining natural deduction (or, in other wo...
In earlier articles we have introduced truth table natural deduction which allows one to extract nat...
This paper describes a proof theoretic and semantic approach in which logics belonging to different ...
We develop a general method for deriving natural deduction rules from the truth table for a connecti...
The formalization of the notion of a logically sound argument as a natural deduction proof offers th...
We introduce a framework for presenting non-classical logics in a modular and uniform way as labelle...