Birkhoff style calculi for hybrid logics

Birkhoff style calculi for hybrid logics 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. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Formal Aspects of Computing Springer Journals

Birkhoff style calculi for hybrid logics

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Publisher
Springer London
Copyright
Copyright © 2017 by British Computer Society
Subject
Computer Science; Math Applications in Computer Science; Theory of Computation; Computational Mathematics and Numerical Analysis
ISSN
0934-5043
eISSN
1433-299X
D.O.I.
10.1007/s00165-016-0414-y
Publisher site
See Article on Publisher Site

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.

Journal

Formal Aspects of ComputingSpringer Journals

Published: Jan 31, 2017

References

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