TL;DR —
In this paper, we present a categorical theory of the composition methods in finite model theory – a key technique enabling modular reasoning.
This paper is available on arxiv under CC BY-SA 4.0 DEED license.
Authors:
(1) Tomáš Jakl, Czech Academy of Sciences and Czech Technical University;
(2) Dan Marsden, School of Computer Science University of Nottingham;
(3) Nihil Shah, Department of Computer Science University of Oxford.
Table of Links
- Abstract & Introduction
- Prelimenaries
- FVM Theorems for Positive Existential Fragments
- FVM Theorems for Counting Logic
- FVM Theorems for The Full Logic
- Abstract FVM Theorems for Products
- Adding Equality and Other Enrichment
- Conclusions, Acknowledgments & References
- Appendix A FVM theorems for coproducts
- Appendix B Proofs Omitted from Section III
- Appendix C Proofs Omitted from Section IV
- Appendix D Proofs Omitted from Section V
- Appendix E Proofs Omitted from Section VI
- Appendix F Proofs Omitted from Section VII
APPENDIX D PROOFS OMITTED FROM SECTION V
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Topics and
tags
tags
finite-model-theory|modular-reasoning|feferman-vaught-mostowski|fvm-theorems|comonad-semantics|theory-of-monads|classical-theorems|composition-methods
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