My paper “Three characterization of strict coherence for infinite-valued events” has been published online on the *Review of Symbolic Logic. * If you are interest, please follow this link

# Tag: state

## Hyperstates of involutive MTL-algebras and states of prelinear semihoop

The paper coauthored by Sara Ugolini and myself on hyperreal-valued probability measures (hyperstates) of involutive MTL-algebras and real-valued states of prelinear semihoop will be available soon in the proceedings of the 8th International Workshop on Logic and Cognition (WOLC2016) and it will be published by Springer (Logic in Asia).

The aim of that contribution is to provide a preliminary investigation for states of prelinear semihoops and hyperstates of algebras in the variety generated by perfect and involutive MTL-algebras (IBP0-algebras for short). Grounding on a recent result showing that IBP0- algebras can be constructed from a Boolean algebra, a prelinear semihoop and a suitably defined operator between them, our first investigation on states of prelinear semihoops will support and justify the notion of hyperstate for IBP0- algebras and will actually show that each such map can be represented by a probability measure on its Boolean skeleton, and a state on a suitably defined abelian l-group.

## IPMU 2018

My contribute paper titled* “Logics for strict coherence and Carnap-regular probability *functions” has been recently accepted to be presented at the 17th International Conference on Information Processing and Management of Uncertainty in Knowledge-Based Systems – IPMU 2018. that will take place in Cádiz, Spain.

## Layers of zero probability and stable coherence over Łukasiewicz events

*Tommaso Flaminio, Lluis Godo*

The notion of stable coherence has been recently introduced to characterize coherent assignments to conditional many-valued events by means of hyperreal-valued states. In a nutshell, an assignment, or book, β on a finite set of conditional events is stably coherent if there exists a coherent variant β′ of β such that β′ maps all antecedents of conditional events to a strictly positive hyperreal number, and such that β and β′ differ by an infinitesimal. In this paper, we provide a characterization of stable coherence in terms of layers of zero probability for books on Łukasiewicz logic events.

**Keywords:** Layers of zero probability, Conditional probability, Stable coherence MV-algebras.

, Volume 21, Issue 1, pp. 113–123.