research

Functorial Coalgebraic Logic: The Case of Many-sorted Varieties

Abstract

AbstractFollowing earlier work, a modal logic for T-coalgebras is a functor L on a suitable variety. Syntax and proof system of the logic are given by presentations of the functor. This paper makes two contributions. First, a previous result characterizing those functors that have presentations is generalized from endofunctors on one-sorted varieties to functors between many-sorted varieties. This yields an equational logic for the presheaf semantics of higher-order abstract syntax. As another application, we show how the move to functors between many-sorted varieties allows to modularly combine syntax and proof systems of different logics. Second, we show how to associate to any set-functor T a complete (finitary) logic L consisting of modal operators and Boolean connectives

Similar works

Full text

thumbnail-image

Elsevier - Publisher Connector

Provided a free PDF
Last time updated on 5/6/2017View original full text link

This paper was published in Elsevier - Publisher Connector .

Having an issue?

Is data on this page outdated, violates copyrights or anything else? Report the problem now and we will take corresponding actions after reviewing your request.