Philosophical theories of logical reasoning are intrinsically related to formal models. This holds in particular of Dummett–Prawitz-style proof-theoretic semantics and calculi of natural deduction. Basic philosophical ideas of this semantic approach have a counterpart in the theory of natural deduction. For example, the “fundamental assumption” in Dummett’s theory of meaning (Dummett, 1991, p. ...

We show that soft constraints can be used to model logical reasoning, that is deduction and abduction (and induction). In particular, we focus on the abduction process and we show how it can be implemented with a (soft) constraint removal operator. As a running application example throughout the paper, we reason with access control policies and credentials. In this way, we can associate the lev...

No wonder you activities are, reading will be always needed. It is not only to fulfil the duties that you need to finish in deadline time. Reading will encourage your mind and thoughts. Of course, reading will greatly develop your experiences about everything. Reading the functional interpretation of logical deduction is also a way as one of the collective books that gives many advantages. The ...

The short note describes the chart parser for multimodal type-logical grammars which has been developed in conjunction with the type-logical treebank for French. The chart parser presents an incomplete but fast implementation of proof search for multimodal type-logical grammars using the"deductive parsing"framework. Proofs found can be transformed to natural deduction proofs.

In automated deduction, the final goal is to achieve a fully automatic proof system: given a logical specification of a problem, take a high-performance theorem prover, and let it do the work. Unfortunately, this does not work in practice, not only because theorem provers often lack finding the proof within reasonable time, but also because the specification is error-prone. For the latter, in t...

In other words, abduction, deduction, and induction work together to explore. In recent years many Monte Carlo simulations have been.induction and abduction reasoning operators, resulting in the proposal that our. Deduction, generalized induction and generalized abduction. Have been implemented and tested within a simulation environment 5.Deduction, Quantitative and Qualitative Induction, Abduc...

An object-oriented language with automatic synthesis of methods (programs) and transformations of OO descriptions using a logical metalanguage (Horn-clause logic) are considered. Automatic synthesis of methods (Proof-As-Program approach) is based on intuitionistic propositional calculus. The metalanguage expresses general knowledge related to classes and objects and it is used for describing tr...

In [NF96] a very efficient system for solving diagnosis tasks has been described, which is based on belief revision procedures and uses first order logic system descriptions. In this paper we demonstrate how such a system can be rigorously formalized from the viewpoint of deduction by using the calculus of hyper tableaux [BFN96]. The benefits of this approach are twofold: first, it gives us a c...

In our paper we follow the development of our approach of regarding programming as logical reasoning in intuitionistic linear logic. We present basic notions of linear logic and its deduction system and we define categorical semantics of linear logic as a symmetric monoidal closed category. Then we construct linear type theory over linear Church’s types involving linear calculus with equational...

A formalism of analogical reasoning is presented. The analogical reasoning can be considered as a deduction with a function of trans forming logical rules. From this viewpoint, the reasoning is defined in terms of deduction, and is therefore realized in a logic programm ing system. The reasoning system is described as an extension of Prolog interpreter.