A relational dual tableau decision procedure for multimodal and description logics
We present a dual tableau based decision procedure for a class of fragments of the classical
relational logic of binary relations. The logics considered share a common language …
relational logic of binary relations. The logics considered share a common language …
Automatic proof generation in an axiomatic system for by means of the method of Socratic proofs
The aim of this article is to describe an algorithm for the automatic generation of proofs in an
axiomatic system for Classical Propositional Logic. The idea of the algorithm was taken from …
axiomatic system for Classical Propositional Logic. The idea of the algorithm was taken from …
[PDF][PDF] A Dual Tableau-based Decision Procedure for a Relational Logic with the Universal Relation.
We present a first result towards the use of entailment inside relational dual tableau-based
decision procedures. To this end, we introduce a fragment of RL (1), called ({1,∪,∩};), which …
decision procedures. To this end, we introduce a fragment of RL (1), called ({1,∪,∩};), which …
A Dual Tableau-based Decision Procedure for a Relational Logic with the Universal Relation (Extended Version)
We present a first result towards the use of entailment in-side relational dual tableau-based
decision procedures. To this end, we introduce a fragment of RL (1) which admits a …
decision procedures. To this end, we introduce a fragment of RL (1) which admits a …
[HTML][HTML] Tableau reductions: Towards an optimal decision procedure for the modal necessity
We present a new prefixed tableau system TK for verification of validity in modal logic K. The
system TK is deterministic, it uniquely generates exactly one proof tree for each clausal …
system TK is deterministic, it uniquely generates exactly one proof tree for each clausal …
Dual Tableau-Based Decision Procedures for Fragments of the Logic of Binary Relations
In this paper, written to honor the career of Ewa Orłowska, we survey the main results on
dual tableau-based decision procedures for fragments of the logic of binary relations …
dual tableau-based decision procedures for fragments of the logic of binary relations …
Logics for Order-of-Magnitude Qualitative Reasoning: Formalizing Negligibility
Qualitative reasoning deals with information expressed in terms of qualitative classes and
relations among them, such as comparability, negligibility or closeness. In this work, we …
relations among them, such as comparability, negligibility or closeness. In this work, we …
Rasiowa–Sikorski Deduction Systems with the Rule of Cut: A Case Study
Abstract This paper presents Rasiowa–Sikorski deduction systems (R–S systems) for logics
CPL CPL, CLuN CLuN, CLuNs CLuNs and mbC mbC. For each of the logics two systems …
CPL CPL, CLuN CLuN, CLuNs CLuNs and mbC mbC. For each of the logics two systems …
[PDF][PDF] On dual tableau-based decision procedures for relational fragments
We give a brief survey of the main results on dual tableaubased decision procedures for
fragments of the logic of binary relations and we outline our current work in the design of …
fragments of the logic of binary relations and we outline our current work in the design of …