# THE EXPRESSIVE POWER OF MEMORY LOGICS

@article{Areces2011THEEP, title={THE EXPRESSIVE POWER OF MEMORY LOGICS}, author={Carlos Areces and Diego Figueira and Santiago Figueira and Sergio Fernando Mera}, journal={The Review of Symbolic Logic}, year={2011}, volume={4}, pages={290 - 318} }

We investigate the expressive power of memory logics. These are modal logics extended with the possibility to store (or remove) the current node of evaluation in (or from) a memory, and to perform membership tests on the current memory. From this perspective, the hybrid logic ℋℒ (↓), for example, can be thought of as a particular case of a memory logic where the memory is an indexed list of elements of the domain. This work focuses in the case where the memory is a set, and we can test whether…

## 23 Citations

Basic Model Theory for Memory Logics

- Computer Science, PhilosophyWoLLIC
- 2011

Basic model properties of memory logics are studied, and results concerning characterization, definability and interpolation are proved.

Swap logic

- MathematicsLog. J. IGPL
- 2014

It is shown that SL is equivalent to a fragment of first-order logic by providing a satisfiability preserving translation and an equivalence preserving translation from SL to the hybrid logicH(:, ↓), and a suitable notion of bisimulation for SL is defined.

Satisfiability for relation-changing logics

- Computer Science, PhilosophyJ. Log. Comput.
- 2018

It is shown that relation-changing modal logics, extensions of the basic modal logic with dynamic operators that modify the accessibility relation of a model during the evaluation of a formula, can be translated into hybrid logic and satisfiability is, in general, undecidable.

The Expressive Power of Swap Logic

- Philosophy
- 2012

Modal logics are appropriate to describe properties of graphs. But usually these are static properties. We investigate dynamic modal operators that can change the model during evaluation. We define…

Extending ALCQ with Bounded Self-Reference

- MathematicsAdvances in Modal Logic
- 2012

A polynomial satisfiability-preserving encoding of ALCQme2 into ALCHIQbe is provided and it is proved that the latter is decidable in EXPTIME.

Translations: generalizing relative expressiveness between logics

- Philosophy, Computer ScienceArXiv
- 2017

The aim of this paper is to propose a sufficiently general and reasonable formal criterion for expressiveness, so as to apply not only to model-theoretic logics, but also to Tarskian and proof-the theoretical logics.

Narcissists Are Easy, Stepmothers Are Hard

- Computer ScienceFoSSaCS
- 2012

This work investigates the logics obtained by restricting the nesting depth of modalities between binding and use and investigates the fragment with distance 1 in the framework of coalgebraic modal logic, for which it provides very general decidability and complexity results.

Mechanizing Bisimulation Theorems for Relation-Changing Logics in Coq

- Computer Science, PhilosophyDaLí
- 2019

This work formalizes and verify in the proof assistant Coq, the bisimulation theorems for a particular family of dynamic logics that can change the accessibility relation of a model.

Expressive Power of “Now” and “Then” Operators

- PhilosophyJ. Log. Lang. Inf.
- 2015

It is shown that backwards-looking operators increase its expressive power quite mildly, contrary to beliefs widespread among philosophers of language and formal semanticists.

Undecidability of Relation-Changing Modal Logics

- Philosophy, Computer ScienceDALI@TABLEAUX
- 2017

This work defines satisfiability-preserving translations from an undecidable memory logic to relation-changing modal logics and shows that their satisfiability problems are undecisive.

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