Add to ORKGOne of the goals for any logic is to systematize and codify principles of valid reasoning.Mathematical logic may be considered as an extension of the formal method of mathematics to the field of logic; it employs for logic a symbolic language similar to that used in mathematics to express mathematical relations.A symbolic language of precisely defined character is necessary to avoid the ambiguity of the ordinary language.To achieve an exact scientific treatment of the subject we shall need clearly prescribed rules underlying reasoning processes.Therefore logical thinking will be reflected in a logical calculus. The purpose of this thesis is to describe a logical calculus (the calculus of natural deduction) which characterizes predicate logi...
A general theory of deduction systems is presented. The theory is illustrated with deduction systems...
A proof is a successful demonstration that a conclusion necessarily follows by logical reasoning fro...
Logical reasoning plays a key role in fields as diverse as verification and synthesis, programming l...
One of the goals for any logic is to systematize and codify principles of valid reasoning.Mathematic...
The paper is about 'absolute logic': an approach to logic that differs from the standard first-order...
Natural deductions form an important tool in applications of logic to scientific theories. Our calcu...
Translation of our paper "Ein Redehandlungskalkül. Ein pragmatisierter Kalkül des natürlichen Schlie...
: It is widely believed that in principle it's possible to reduce most of present-day mathemati...
It is argued that the sequent calculus is more appropriate to model hypothetical reasoning than the ...
The merits of a system of natural deduction are not only determined by its value as a logical system...
Textbook for symbolic logic, beginning at a level appropriate for beginning students, continuing thr...
The paper is about an approach to logic that differs from the standard first-order logic and other k...
Revised version of a conference given under title "From Natural Deduction to the nature of reasoning...
Building on the work of Peter Hinst and Geo Siegwart, we develop a pragmatised natural deduction cal...
It is shown that a simple deduction engine can be developed for a propositional logic that follows t...
A general theory of deduction systems is presented. The theory is illustrated with deduction systems...
A proof is a successful demonstration that a conclusion necessarily follows by logical reasoning fro...
Logical reasoning plays a key role in fields as diverse as verification and synthesis, programming l...
One of the goals for any logic is to systematize and codify principles of valid reasoning.Mathematic...
The paper is about 'absolute logic': an approach to logic that differs from the standard first-order...
Natural deductions form an important tool in applications of logic to scientific theories. Our calcu...
Translation of our paper "Ein Redehandlungskalkül. Ein pragmatisierter Kalkül des natürlichen Schlie...
: It is widely believed that in principle it's possible to reduce most of present-day mathemati...
It is argued that the sequent calculus is more appropriate to model hypothetical reasoning than the ...
The merits of a system of natural deduction are not only determined by its value as a logical system...
Textbook for symbolic logic, beginning at a level appropriate for beginning students, continuing thr...
The paper is about an approach to logic that differs from the standard first-order logic and other k...
Revised version of a conference given under title "From Natural Deduction to the nature of reasoning...
Building on the work of Peter Hinst and Geo Siegwart, we develop a pragmatised natural deduction cal...
It is shown that a simple deduction engine can be developed for a propositional logic that follows t...
A general theory of deduction systems is presented. The theory is illustrated with deduction systems...
A proof is a successful demonstration that a conclusion necessarily follows by logical reasoning fro...
Logical reasoning plays a key role in fields as diverse as verification and synthesis, programming l...