A Terminating Sequent Calculus for Intuitionistic Strong Löb Logic with the Subformula Property

C Fiorentini, M Ferrari - International Joint Conference on Automated …, 2024 - Springer
Intuitionistic Strong Löb logic iSL is an intuitionistic modal logic with a provability
interpretation. We introduce GbuSL□, a terminating sequent calculus for iSL with the …

Proof-search in natural deduction calculus for classical propositional logic

M Ferrari, C Fiorentini - Automated Reasoning with Analytic Tableaux and …, 2015 - Springer
We address the problem of proof-search in the natural deduction calculus for Classical
propositional logic. Our aim is to improve the usual naïve proof-search procedure where …

A forward unprovability calculus for intuitionistic propositional logic

C Fiorentini, M Ferrari - Automated Reasoning with Analytic Tableaux and …, 2017 - Springer
The inverse method is a saturation based theorem proving technique; it relies on a forward
proof-search strategy and can be applied to cut-free calculi enjoying the subformula …

Duality between unprovability and provability in forward refutation-search for intuitionistic propositional logic

C Fiorentini, M Ferrari - ACM Transactions on Computational Logic …, 2020 - dl.acm.org
The inverse method is a saturation-based theorem-proving technique; it relies on a forward
proof-search strategy and can be applied to cut-free calculi enjoying the subformula …

JTabWb: a Java framework for implementing terminating sequent and tableau calculi

M Ferrari, C Fiorentini, G Fiorino - Fundamenta Informaticae, 2017 - content.iospress.com
JTabWb is a Java framework for develo** provers based on sequent or tableau calculi. It
provides a generic engine which searches for proof of a given goal driven by a user-defined …

Goal-oriented proof-search in natural deduction for intuitionistic propositional logic

M Ferrari, C Fiorentini - Journal of Automated Reasoning, 2019 - Springer
We address the problem of proof-search in the natural deduction calculus for Intuitionistic
propositional logic. Our aim is to improve the usual proof-search procedure where …

An ASP approach to generate minimal countermodels in intuitionistic propositional logic

C Fiorentini - Proceedings of the Twenty-Eighth International Joint …, 2019 - air.unimi.it
Abstract Intuitionistic Propositional Logic is complete wrt Kripke semantics: if a formula is not
intuitionistically valid, then there exists a finite Kripke model falsifying it. The problem of …

A forward internal calculus for model generation in S4

C Fiorentini, M Ferrari - Journal of Logic and Computation, 2021 - academic.oup.com
We propose an internal calculus to check the satisfiability of a set of formulas in. Our
calculus directly supports model extraction and is designed so to implement a forward proof …

A semantical analysis of focusing and contraction in intuitionistic logic

A Avellone, C Fiorentini… - Fundamenta …, 2015 - content.iospress.com
Focusing is a proof-theoretic device to structure proof search in the sequent calculus: it
provides a normal form to cut-free proofs in which the application of invertible and non …

[PDF][PDF] Forward proof-search and Countermodel Construction in Intuitionistic Propositional Logic

C Fiorentini, M Ferrari - CEUR WORKSHOP PROCEEDINGS, 2020 - air.unimi.it
Forward proof-search and Countermodel Construction in Intuitionistic Propositional Logic⋆
Page 1 Forward proof-search and Countermodel Construction in Intuitionistic Propositional …