Birkhoff style calculi for hybrid logics

Author:

Găină Daniel1ORCID

Affiliation:

1. Institute of Mathematics for Industry, Kyushu University, Fukuoka, Japan

Abstract

Abstract We develop an abstract proof calculus for hybrid logics whose sentences are ( hybrid ) Horn clauses , and we prove a Birkhoff completeness theorem for hybrid logics in the general setting provided by the institution theory . This result is then applied to particular cases of hybrid logics with user-defined sharing, where the first-order variables in quantified sentences are interpreted uniformly across worlds.

Funder

Ministry of Education, Culture, Sports, Science, and Technology (JP)

Publisher

Association for Computing Machinery (ACM)

Subject

Theoretical Computer Science,Software

Reference45 articles.

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