We introduce and illustrate a graph calculus for proving and deciding the positive identities and inclusions of fork algebras, i.e., those without occurrences of complementation. ...
Renata P. de Freitas, Sheila R. M. Veloso, Paulo A...
In this paper we prove that the derivability problems for productfree Lambek calculus and product-free Lambek calculus allowing empty premises are NP-complete. Also we introduce a...
We explore an intuitionistic fragment of Art¨emov’s Logic of Proofs as a type system for a programming language for mobile units. Such units consist of both a code and certific...
In this paper we study several properties of the Exogenous Probabilistic Propositional Logic (EPPL), a logic for reasoning about probabilities, with the purpose of introducing a t...
This work defines an extension CERES2 of the first-order cut-elimination method CERES to the subclass of sequent calculus proofs in second-order logic using quantifier-free comp...
Stefan Hetzl, Alexander Leitsch, Daniel Weller, Br...
We present FixIt(ALC), a novel procedure for deciding knowledge base (KB) satisfiability in the Fuzzy Description Logic (FDL) ALC. FixIt(ALC) does not search for tree-structured m...
Abstract. We address the problem of quantitative comparison of classical and intuitionistic logics within the language of the full propositional system. We apply two different app...
Canonical propositional Gentzen-type calculi are a natural class of systems which in addition to the standard axioms and structural rules have only logical rules where exactly one ...
We give a sound and complete labeled natural deduction system for an interesting fragment of CTL∗ , namely the until-free version of BCTL∗ . The logic BCTL∗ is obtained by re...
Memory logics are a family of modal logics in which standard relational structures are augmented with data structures and additional operations to modify and query these structure...